Quantative Aptitude All Type Question and Answers

PRE PLACEMENT

PREPARATION

GUIDE

(PPP-GUIDE)

Volume – I: QUANTITATIVE APTITUDE

SCHOOL OF PROFESSIONAL ATTACHMENT

ITM UNIVERSITY

SECTOR-23A, GURGAON

Quantitative Aptitude

1

Preface

The first round of the Company recruitment process includes the aptitude test which

assesses the intelligence of the students. The aptitude test generally has 3 sections:

Quantitative Aptitude, Logical Reasoning and Verbal Ability.

This book has been prepared as a guide for the students to prepare for the aptitude

test who are likely to appear in various companies’ placement exams. The book is

divided into three volumes based on the 3 sections.

Volume 1 - Quantitative Aptitude

Volume 2 - Logical Reasoning

Volume 3 - Verbal Ability

Volume 1 of the book contains a large number of Quantitative Aptitude questions

with answers. Each company has its own format for the aptitude paper; some papers

have negative marking for one wrong answer ¼ marks will be deducted or there is no

negative marking it will depend upon the companies’ paper.

Questions are arranged in book in such a manner that they will help students to

practice not only easy questions but also very difficult ones.

Any criticism or suggestions for further improvement of the book will be gratefully

acknowledged and highly appreciated. The feedback can be given to the School of

Professional Attachment.

This book has been compiled as a part of an internship project by the following

students after completing their semester 6.

Shreya Toteja

Varsha Khokhar

Mehak Sehra

Aman Malik

Shubham Vohra

Satpal Tanan


2

Acknowledgement

Apart from the efforts of a project team, the success of any project

depends largely on the encouragement and guidelines of many others. We

take this opportunity to express our gratitude to the people who have

been instrumental in the successful completion of this book. We would like

to show our greatest appreciation to Mrs Latika Singh, HOD CSE/IT

department and Mr Anil Mishra of CSE/IT.

We would like to thank Mr B.K.Gupta, Director of SPA for his continuous

support and guidance. We felt motivated and encouraged every time we

attended a meeting with him. Without his encouragement and guidance

this book would not have materialized. The guidance and support received

from all the members who contributed was vital for the successful

completion of the book. We are grateful for their constant support and

help.


3

Selection process of the various companies

The selection process is picking the individual who have qualifications to fill in

the organization.

The basic purpose is to choose the individual who can successfully perform the

job from the given pool of the qualified candidates.

The Companies have the following rounds for recruitment:

o Aptitude test: The purpose of this round is to test the candidate's ability

of problem solving. This round contains the multiple choice questions of

quantitative, verbal, reasoning.

o Technical Round: A panel of two or more people will be asking questions related to your field, is round consists set of technical question on your area of specialization (computers, mechanical..Etc).

o Essay/case Study: In this round companies will present a particular situation and want you to lead a round table discussion to analyse the situation and develop possible solutions to address it. This is so they can see your analysis and development skills in action.

o Group Discussion: As a professional in the working world, there will be

times when you will be required to participate in group discussions. So

companies test your ability to express your thoughts in a group.

o HR interview: HR interview tests your interest and enthusiasm to work

for their company. Interviewers put normal questions but they expects

answer which shows your interest on work.

o Introduction Round: Some companies conduct their Introduction Round

separately. "Introduce yourself" is the basic question faced by every

interviewee in their interviews. This is the time where you need to tell

yourself. Speak about those which you have not covered in your resume.

o Accent Round: This round is conducted because it is important what

people sound like for the services they provide. People who call these

companies need to be able to understand the person they are talking to

on the phone and neutrality of accent so that what is said comes across

clearly to those listening. In interviews for such positions the interviewer

is likely to try and find out what the interviewee's voice is like.


4

Every company assesses the capability, intelligence, personality trait, performance

through a number of rounds given as below

S. no

Name Of Company Aptitude Technical Essay/Case Study

GD HR Introduction Accent

1 Accenture Y Y Y Y

2 Aspiring Minds Y Y Y Y

3 Birla Soft Y Y Y Y

4 Blue Star Y Y Y

5 Convergys Y Y Y

6 Alcatel Lucent Y Y Y

7 Amdocs Y Y Y

8 Aricent Y Y Y

9 Ashok Leyland Y Y Y

10 Bajaj Y Y Y Y

11 Capgemini Y Y Y

12 Crompton Greaves Y Y Y Y

13 Dell Y Y Y Y Y

14 Delloite Y Y Y Y

15 Ericsson Y Y Y Y

16 Essar Y Y Y

17 HoneyWell Y Y Y

18 HP Y Y Y

19 Huawei Y Y Y

20 IBM Y Y Y Y

21 iGate Patni Y Y Y

22 Indian Air Force Y Y SSB

23 Infosys Y Y Y

24 L&T ECC Y Y Y

25 L&T Infotech Y Y Y Y Y

26 LG Soft Y Y Y

27 Nokia Siemens Y Y Y

28 Samsung Y Y Y

29 Sapient Y Y Y

30 Sony Y Y Y

31 TCS Y Y Y

32 Tech Mahindra Y Y Y

33 Verifone Y Y Y

34 Wipro Y Y Y Y Y

35 Zensar Y Y Y

36 Elitmus Y Y Y

37 Sona Group Y Y Y

38 Syntel Y Y Y

39 HCL Y Y Y

40 Hitachi Y Y Y Y

41 SMS Siemag Y Y Y

42 Punj Lloyd Y Y Y Y

43 NIIT Y Y Y

44 NewGen Y Y Y

45 JBM Group Y Y Y

46 Libsys Y Y Y


5

Contents PREFACE ........................................................................................................................................................ 1

ACKNOWLEDGEMENT .................................................................................................................................... 2

BOATS AND STREAMS .................................................................................................................................... 6

LOGARITHMS ............................................................................................................................................... 10

PARTNERSHIP............................................................................................................................................... 13

PROBLEMS ON NUMBERS ............................................................................................................................ 17

PROBLEMS ON AGES .................................................................................................................................... 21

AVERAGE ..................................................................................................................................................... 25

RATIO AND PROPORTION ............................................................................................................................. 28

HCF AND LCM OF NUMBERS ........................................................................................................................ 32

DECIMAL FRACTIONS ................................................................................................................................... 36

SIMPLIFICATION ........................................................................................................................................... 38

TIME AND DISTANCE .................................................................................................................................... 40

PERCENTAGE................................................................................................................................................ 43

VOLUME AND SURFACE AREAS .................................................................................................................... 46

PROFIT AND LOSS ........................................................................................................................................ 50

ALLIGATION OF MIXTURES ........................................................................................................................... 53

NUMBER SYSTEM ........................................................................................................................................ 56

TIME AND WORK ......................................................................................................................................... 59

SIMPLE INTEREST ......................................................................................................................................... 61

COMPOUND INTEREST ................................................................................................................................. 64

PROBABILITY ................................................................................................................................................ 66

PERMUTATIONS AND COMBINATION ........................................................................................................... 68

MISCELLANEOUS QUESTIONS (AREA) ........................................................................................................... 71

ANSWERS: ....................................................................................................................................................74


6

BOATS AND STREAMS 1. A man's speed with the current is 15 km/hr. and the speed of the current is 2.5 km/hr. The man's speed against the current is:

A. 8.5 km/hr. B. 9 km/hr. C. 10 km/hr. D. 12.5 km/hr.

2. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A. 2 : 1 B. 3 : 2 C. 8 : 3 D. Cannot be determined

3. A motorboat, whose speed in 15 km/hr. in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr.) is:

A. 4 B. 5 C. 6 D. 10

4. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

A. 4 km/hr. B. 6 km/hr. C. 8 km/hr. D. Data inadequate

5. The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

A. 1.2 km B. 1.8 km C. 2.4 km D. 3.6 km

6. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

A. 2 mph B. 2.5 mph C. 3 mph D. 4 mph


7

7. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

A. 2.4 km B. 2.5 km C. 3 km D. 3.6 km

8. A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hour. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

A. 12 kmph B. 13 kmph C. 14 kmph D. 15 kmph

9. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

A. 40 minutes B. 1 hour C. 1 hr 15 min D. 1 hr 30 min

10. A man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes. The speed (in km/hr.) of the man in still water is:

A. 2 B. 3 C. 4 D. 5

11. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

A. 16 hours B. 18 hours C. 20 hours D. 24 hours

12. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

A. 2 : 1 B. 3 : 1 C. 3 : 2 D. 4 : 3

13. A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

A. 1 km/hr. B. 1.5 km/hr. C. 2 km/hr. D. 2.5 km/hr.


8

14. A swimmer covers a distance of 28 km against the current and 40 km in the directions of the current. If in each case he takes 4 hours, then the speed of the current is:

A. 2.5 B. 3.5 C. 1.5

D. None of these 15. A man can row 7.5 Kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.

A. 2 B. 3 C. 2.5 D. 4

16. A boat takes 19 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?

A. 160 B. 180 C. 200 D. 220

17. At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for his 24-mile round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hour?

A. 4/3 B. 5/3 C. 7/3 D. 8/3

18. Two pipes A and B can fill a tank in 20 hrs and 30 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?

A. 12 B. 1/12 C. 13 D. 1/13

19. A Cistern is filled by pipe A in 9 hrs and the full Cistern can be leaked out by an exhaust pipe B in 10 hrs. If both the pipes are opened in what time the Cistern is full?

A. 45 B. 1/10 C. 90 D. 1/90

20. The current of a stream runs at the rate of 2 km per hr. A motor boat goes 10 km upstream and back again to the starting point in 55 min. Find the speed of the motor boat in still water?

A. 22 B. 23 C. 25 D. 24


9

21.. Tap 'A' can fill the tank completely in 4 hrs while tap 'B' can empty it by 8 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the tapes, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?

A. 2 B. 3 C. 1/2 D. ¼


10

LOGARITHMS 22. Which of the following statements is not correct?

A. A.log10 10 = 1 B. B.log (2 + 3) =log (2 x 3) C. C.log10 1 = 0 D. D.log (1 + 2 + 3) = log 1 + log 2 + log 3

23. If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

A. A.2.870 B. B.2.967 C. C.3.876 D. D.3.912

24. If log 27 = 1.431, then the value of log 9 is:

A. A.0.934 B. B.0.945 C. C.0.954 D. D.0.958

25. If log a/b +log b/a = log (a + b), then:

A. a + b = 1 B. a - b = 1 C. a = b D. a2 - b2 = 1

26. If log10 7 = a, then log10 (1/70) is equal to:

A. -(1 + a) B. (1 + a)-1 C. a/10 D. 1/10a

27.If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

A. 1 B. 3 C. 5 D. 10

28.The value of log3(1/60) + log4(1/60) + log5(1/60) is:

A. 0 B. 1 C. 5 D. 6

29. If logx y = 100 and log2 x = 10, then the value of y is:

A. 210 B. 2100 C. 21000 D. 210000


11

30. If log2 [log3 (log2 x)] = 1, then x is equal to: A. 0 B. 125 C. 128 D. 512

31. If logx 9/16=-1/2, then x is equal to:

A. -3/4 B. 3/4 C. 81/256 D. 256/81

32. The value of (log3 4) (log4 5) (log5 6) (log6 7) (log7 8) (log8 9) is :

A. 2 B. 7 C. 8 D. 33

33. If log10000 x = 1

4

, then x is equal to :

A. 1/10 B. 1/100 C. 1/1000 D. 1/10000

34. If log4 x + log2 x = 6, then x is equal to:

A. 2 B. 4 C. 8 D. 16

35. If log 3 = 0.477 and (1000)x = 3, then x equals :

A. 0.0159 B. 0.0447 C. 0.159 D. 10

36. log a2

bc

+ log b2

ac

+ log c2

ab

is equal to :

A. 0 B. 1 C. 2 D. abc


12

37. If log x + log y = log (x + y), then: A. x=y B. xy=1 C. y=x-i/x D. y=x/x-1

38. If log 2 = 0.30103, the number of digits in 450 is:

A. 30 B. 31 C. 100 D. 200

39.The value 1

3

log10 125-2log10 4+ log1032 is:

A. 0 B. 4/5 C. 1 D. 2

40. If log5 (x2 + x) - log5 (x + 1) = 2, then the value of x is:

A. 5 B. 10 C. 25 D. 32


13

PARTNERSHIP

41. A and B invest in a business in the ratio 3: 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

A. Rs.1425 B. Rs.1500 C. Rs.1537.50 D. Rs.1576

42. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.6500 for 6 months, B, Rs.8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate the share of B in the profit.

A. Rs.1900 B. Rs.2660 C. Rs.2800 D. Rs.2840

43. A, B and C enter into a partnership in the ratio 7/2:4/3:6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs.21,600, then B's share in the profit is:

A. Rs.2100 B. Rs.2400 C. Rs.3600 D. Rs.4000

44. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

A. 5 : 7 : 8 B. 20 : 49 : 64 C. 38 : 28 : 21 D. None of these

45. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

A. Rs.7500 B. Rs.8000 C. Rs.8500 D .Rs.9000

46. A and B entered into partnership with capitals in the ratio 4: 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

A. Rs.330 B. Rs.360 C. Rs.380 D. Rs.430


14

47. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A. Rs.45 B. Rs.50 C. Rs.55 D. Rs.60

48.A began a business with Rs.85,000. He was joined afterwards by B with Rs.42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

A. 4 months B. 5 months C. 6 months D. 8 months

49. Arun, Kamal and Vinay invested Rs.8000, Rs.4000 and Rs.8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs.4005, then what will be the share of Kamal?

A. Rs.890 B. Rs.1335 C. Rs.1602 D. Rs.1780

50. Simran started a software business by investing Rs.50,000. After six months, Nanda joined her with a capital of Rs.80,000. After 3 years, they earned a profit of Rs.24,500. What was Simran's share in the profit?

A. Rs.9,423 B. Rs.10,250 C. Rs.12,500 D. Rs.10,500

51.If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs.4650, C will receive:

A. 465 B. 900 C. 1550 D. 2250

52. A and B start a business jointly A invests Rs.16,000 for 8 months and B remains in the business for 4 months. out of total profit, B claims 2/7.how much money was contributed by B?

A. 10500 B. 11900 C. 12800 D. 13600

53.A, B and C enter into a partnership. They invest Rs.40,000, Rs.80,000 and Rs.1,20,000 respectively. At the end of the first year, B withdraws Rs.40,000, while at the end of the second year, C withdraws Rs.80,000. In what ratio will the profit be shared at the end of years?

A. 2:3:5 B. 3:4:7 C. 4:5:9 D. none of these


15

54. A and B entered into partnership with capitals in the ratio 4: 5. After 3 months, A Withdraw 1/4 of his capital and B withdraw 1/5 of his capital. The gain at the end of 10 months was Rs.760. A's share in this profit is :

A. Rs.330 B. Rs.360 C. Rs.380 D. Rs.430

55. A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27,000, C’s share is

A. Rs.8265 B. Rs.9000 C. Rs.10800

D. Rs.11250 56. A, B and C enter into a partnership. A initially invests Rs.25 lakhs and adds another Rs.10 lakhs after one year. B initially invests Rs.35 lakhs and withdraws Rs.10 lakhs after 2 years C invests Rs.30 lakhs. In what ratio should the profits be divided at the end 3 years?


57. A and B started a business with initial investments in the ratio 14: 15 and their annual profits were in the ratio 7: 6. If A invested the money for 10 months, for how many months did B invest his money?

A. 6 B. 7 C. 8 D. 9

58. A, B, C hired a car for Rs.520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:

A. 140 B. 160 C. 180 D. 220

59. A and B start a business with investments of Rs.5000 and Rs.4500 respectively. After 4 months, A takes out half of his capital. After two more months, B takes out one-third of his capital while C joins them with a capital of Rs.7000. At the end of a year, they earn a profit of Rs.5080. Find the share of each member in the profit.

A. A - Rs.1400, B - Rs.1900, C - Rs.1780 B. A - Rs.1600, B - Rs.1800, C - Rs.1680 C. A - Rs.1800, B - Rs.1500, C - Rs.1780 D. A - Rs.1680, B - Rs.16000, C - Rs.1800


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60. Shekhar started a business investing Rs.25, 000 in 1999, In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev’s share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?

A. RS 45000 B. RS 50000 C. RS 70000

D. none of these 61. Three partners A, B, C start business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16,500 at the end of the year. B’s share is:

A. RS 4000 B. RS 6000 C. RS 7500 D. RS 6600

62. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.6500 for 6 months, B, Rs.8400 for 5 months and C, Rs.10,000 for 3 months. A wants to be the working member for which he was to receive 5% of the profits. The profit earned was Rs.7400 Calculate the share of B in the profit.

A. RS 1900 B. RS 2660 C. RS 2800 D. RS 2840

63. A, B and C enter into a partnership and their shares are in 1/2:1/3:1/4 ratio, After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B’s share?

A. Rs.129 B. Rs.144 C. Rs.156 D. Rs.168

64.In a partnership, A invests 1/6 of capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C the rest of the capital for rest of the whole time. The total profit is RS 4600,B’s share is:

A. Rs.650 B. Rs.800 C. Rs.960 D. Rs.1000


17

PROBLEMS ON NUMBERS

65. The difference between the squares of two consecutive odd integers is always divisible by: A. 3 B. 6 C. 7 D. 8

66. What largest number of five digits is divisible by 99?

A. 99909 B. 99981 C. 99990 D. 99999

67. If x and y are the two digits of the number 653xy such that this number is divisible by 80, thenx + y is equal to :

A. 2 B. 3 C. 4 D. 6

68. What least number must be subtracted from 13294 so that the remainder is exactly divisible by 97?

A. 1 B. 3 C. 4 D. 5

69. The difference between the numerator and the denominator of a fraction is 5.If 5 is added to its denominator, the fraction is decreased by 5/4.Find the value of fraction.

A. 1/6 B. 9/4 C. 13/4 D. 6

70.In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25.What is the value of fraction A?

A. 1/5 B. 1/25 C. 2/5 D. data inadequate

71. Which of the following numbers is exactly divisible by 24?

A. 35718 B. 63810 C. 537804 D. 3125736

72.If x is a whole number, then x2 ( x2 - 1) is always divisible by :

A. 12 B. 24 C. 12-x D. multiple of 12


18

73.The least number by which 72 must be multiplied in order to produce a multiple of 112, is :

A. 6 B. 12 C. 14 D. 18

74. (856 + 167)2 + (856 - 167)2

856 x 856 + 167 x 167

is equal to :

A. 1 B. 2 C. 689 D. 1023

75. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is:

A. 214 B. 476 C. 954 D. 1908

76. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:

A. 4236 B. 4306 C. 4336. D. 5336

77. A number when divided by 119 leaves 19 as remainder. If the same number is divided by 17, the remainder obtained is :

A. 2 B. 3 C. 7 D. 10

78. The smallest number that must be added to 803642 in order to obtain a multiple of 11 is:

A. 1 B. 4 C. 7 D. 9

79. The largest natural number by which the product of three consecutive even natural numbers is always divisible is:

A. 16 B. 24 C. 48 D. 96


19

80. Find the number which is nearest to 457 and is exactly divisible by 11.

A. 450 B. 451 C. 460 D. 462

81. In doing a division of a question with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:

A. 0 B. 12 C. 13 D. 20

82. How many three-digit numbers are divisible by 6 in all?

A. 149 B. 150 C. 151 D. 166

83. A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

A. 2 B. 3 C. 4 D. 5

84. If -1 ≤ x ≤ 2 and 1 ≤ y ≤ 3, then least possible value of (2y - 3x) is:

A. 0 B. -3 C. -4 D. -5

85. A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is :

A. 1220 B. 1250 C. 22030 D. 220030

86. 469157 x 9999 =?

A. 4586970843 B. 4686970743 C. 4691100843 D. 584649125


20

87. A boy multiplies 987 by a certain number and obtains 559981 as his answer. If in the answer, both 9's are wrong but the other digits are correct, then the correct answer will be:

A. 553681 B. 555181 C. 555681 D. 556581

88. There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444 etc.). Such a number is always divisible by:

A. 7 only B. 11 only C. 13 only D. all of these

89.A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by :

A. 7 only B. 11 only C. 13 only D. 1001

90. The unit's digit in the product (3127)173 is:

A. 1 B. 3 C. 7 D. 9

91. The digit in the unit's place of the number represented by (795 – 358) is:

A. 0 B. 4 C. 6 D. 7

92. If we write all the whole numbers from 200 to 400, then how many of these contain the digit 7 once and only once?

A. 32 B. 34 C. 35 D. 36

93. The number of prime factors of (3 x 5)12 (2 x 7)10 (10)25 are:

A. 47 B. 60 C. 73 D. 94


21

PROBLEMS ON AGES 94. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

A. 2 times B. 5/2 times C. 11/4 times D. 3 times

95. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A. 4 years B. 8 years C. 10 years D. None of these

96. A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

A. 14 years B. 19 years C. 33 years D. 38 years

97. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A. 7 B. 8 C. 9 D. 10

98. Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

A. 16 years B. 18 years C. 20 years D. Cannot be determined

99. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:



22

100.Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

A. 16 years B. 18 years C. 28 years D. 24.5 year

101. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?


102. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A. 1 year B. 2 years C. 25 years D. Data inadequate

103. The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A. 5 : 2 B. 7 : 3 C. 9 : 2 D. 13 : 4

104. At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

A. 12 years B. 15 years C. 19 and half D. 21 years

105. The Average age of a class of 22 students in 21 years. The average increases by 1 when the teacher’s age also included. What is the age of the teacher?

A. 44 B. 43 C. 41 D. 40

106. The total of the ages of Jayant, Prem and Saransh is 93 years. Ten years ago, the ratio of their ages was 2: 3: 4. What is the present age of Saransh?

A. 24 Years B. 32 Years C. 34 Years D. 38 Years


23

107. Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5?


108. 15 years hence, Rohit will be just four times as old as he was 15 years ago, How old is Rohit at present?

A. 20 B. 25 C. 30 D. 35

109. If twice the son’s age in years be added to the father’s age, the sum is 70 and if twice the father’s age is added to the son’s age, the sum is 95. Father’s age is:


110. The total age of A and B is 12 year more than the total age of B and C. C is how many years younger that A?

A. 12 B. 24 C. C is elder than A D. none of these

111. Rajan got married 8 years ago. His present age is 6

times his age at the time of his

5

Marriage. Rajan’s sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is : A. 32 Years B. 36 Years C. 38 Years D. 40 Years

112. The ratio of the ages of mother to that of daughter is 7:3 today. After 5 years, this ratio would be 2:1. How many years old should the mother be at the time of birth of her daughter?

A. 18 B. 21 C. 22 D. 20

113. The average age of class of 50 students is 24 years. If the average of 10 of them is 22 years, while average of another 10 is 26 years. What is the average of the remaining 30 students?

A. 22 B. 32 C. 24 D. 38


24

114. A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?


115. Five years ago Mr. Sohanlal was thrice as old as his son and ten years hence he will be twice as old as his son. Mr. Sohanlal’s present age (in years) is

A. 35 B. 45 C. 50 D. 55

116. If Jude was 1/3rd as old as John 5 years back and Jude is 17 years old now, How old is Jude now?

A. 40 B. 41 C. 36 D. 48


25

AVERAGE 117. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

A. 6.25 B. 6.5 C. 6.75 D. 7

118. A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

A. 28 4

years 7

B.31 5

years 7

C. 32 1

years 7

D. None of these 119. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

A. 0 B. 1 C. 10 D. 19

120. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

A. 76 kg B. 76.5 kg C. 85 kg D. Data inadequate

121. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?



26

122. The average monthly income of P and Q is Rs.5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs.5200. The monthly income of P is:

A. 3500 B. 4000 C. 4050 D. 5000

123. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:


124. A car owner buys petrol at Rs.7.50, Rs.8 and Rs.8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs.4000 each year?

A. Rs.7.98 B. Rs,8 C. Rs.8.50 D. Rs.9

125. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

A. 67 kg. B. 68 kg. C. 69 kg. D. Data inadequate

126. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

A. 17 kg B. 20 kg C. 26 kg D. 31 kg

127. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

A. 47.55 kg B. 48 kg C. 48.55 kg D. 49.25 kg


27

128. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:

A. 250 B. 276 C. 280 D. 285

129. A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

A. 10 B. 20 C. 40 D. 73

130. The average of all odd numbers up to 100 is:

A. 51 B. 48.5 C. 50 D. 49.2

131. In travelling from city A to city B, John drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was his average speed for the whole trip?

A. 50 B. 53.5 C. 55 D. 56 E. 57.5


28

RATIO AND PROPORTION 132. The third proportional to 0.36 and 0.48 is:

A. 0.64 B. 0.1728 C. 0.42 D. 0.96

133. The salaries of A, B, C are in the ratio 2 : 3 : 5. if the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?


134. Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it (in kgs)?

A. 58 B. 60 C. 64 D. 70

135. The ratio of 43.5 : 25

is same as :

A. 2:1 B. 4:1 C. 7:5 D. 7:10

136. If (4x2 - 3y2) : (2x2 + 5y2) = 12 : 19, then (x : y) is :

A. 2:3 B. 1:2 C. 3:2 D. 2:1

137. Three containers have their volumes in the raito 3 : 4 : 5, They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4 : 1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is:

A. 4:1 B. 151:48 C. 157:53 D. 5:2

138. A fraction which bears the same ratio

1

27

that 3

11

does to 5

9

, is equal to:

A. 1/55 B. 1/11 C. 3/11 D. 1/27


29

139.In a bag, there are coins of 25 p. 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs.30 in all, how many 5 p coins are there?

A. 50 B. 100 C. 150 D. 200

140. The sides of a triangle are in the ratio 1

2

: 1

3

: 1

4

and its perimeter is 104 cm.

The length of the longest side is : A. 52 cm B. 48 cm C. 32 cm D. 26 cm

141. If 10% of x = 20% of y, then x : y is equal to:

A. 1:2 B. 2:1 C. 10:1 D. 20:1

142. If Rs.510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:

A. Rs.120, Rs.240, Rs.150 B. Rs.60, Rs.90, Rs.360 C. Rs.150, Rs.300, Rs.60 D. none of these

143. If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?

A. 2:1 B. 3:1 C. 3:2 D. 7:5

144. A sum of Rs.1300 is divided amongst P, Q, R and S such that

P's share

Q's share

= Q's share

R's share

= R's share

S's share

= 2

3

. Then, P's share is :

A. RS 140 B. RS 160 C. RS 240 D. RS 320

145. If 5x2 - 13xy + 6y2 = 0, then x : y is :

A. (2 : 1) only B. (3 : 5) only C. (5 : 3) or (1 : 2) D. (3:5)or(2:1)


30

146. A sum of Rs.53 is divided among A, B, C in such a way that A gets Rs.7 more than what B gets and B gets Rs.8 more than what C gets. The ratio of their shares is:

A. 16 : 9 : 18 B. 25:18:10 C. 18:25:10 D. 15:8:30

147. 20 liters of a mixture contains milk and water in the ratio 5 : 3. If 4 liters of this mixture be replaced by 4 liters of milk, the ratio of milk to water in the new mixture would be:

A. 2:1 B. 7:3 C. 8:3 D. 4:3

148. What least number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?

A. 0 B. 1 C. 2 D. 7

149. If 76 is divided into four parts proportional to 7, 5, 3, 4. Then the smallest part is:

A. 12 B. 15 C. 16 D. 19

150. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship?

A. 56 B. 70 C. 78 D. 80

151. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A. 2:5 B. 3:5 C. 4:5 D. 6:7

152 .

a

3

= b

4

= c

7

, then a + b + c

c

is equal to :

A. 7 B. 2 C. 1/7 D. ½


31

153. The lease whole number which when subtracted from both the terms of the ratio 6 : 7 gives a ratio less than 16 : 21 is:

A. 2 B. 3 C. 4 D. 6

154. The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is :

A. 2:1 B. 5:1 C. 7:15 D. 9:14

155. The speeds of three cars are in the ratio 5 : 4 : 6. The ratio between the time taken by them to travel the same distance is :

A. 5:4:6 B. 6:4:5 C. 10:12:15 D. 12:15:10

156. The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs.1800. In other months 620 units are consumed and the bill is Rs.2040. In yet another month 500 units are consumed. The bill for that month would be:

A. Rs.1560 B. Rs.168 C. Rs.1840 D. Rs.1950


32

HCF AND LCM OF NUMBERS

157. H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 24 x 35 x 52 x 72 The third number is:

A. 22 x 35 x 72 B. 22 x 53 x 72 C. 25 x 52 x 72 D. 23 x 35 x 72

158. Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:

A. 12 midnight B. 3 a.m. C. 6 a.m. D. 9 a.m.

159. The least multiple of 7, which leaves a remainder of 4. when divided by 6, 9, 15 and 18 is:

A. 74 B. 94 C. 184 D. 364

160. L.C.M. of two prime numbers x and y (x > y) is 161 The value of 3y – x is:

A. -2 B. 2 C. -1 D. 1

161. The L.C.M. of two numbers is 48. The numbers are in the ratio 2:3. the sum of the numbers is:

A. 28 B. 32 C. 40 D. 64

162. The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A. 1677 B. 1683 C. 2523 D. 3363

163. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A. 276 B. 299 C. 322 D. 345


33

164. The H.C.F. of two numbers is 12 and their difference is 12. The numbers are: A. 66, 78 B. 70, 82 C. 94, 106 D. 84, 96

165. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4 B. 7 C. 9 D. 13

166. The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is:

A. 1008 B. 1015 C. 1022 D. 1032

167. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is:

A. 504 B. 536 C. 544 D. 548

168. The H.C.F. and L.C.M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:

A. 12 B. 48 C. 84 D. 108

169. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively.

A. 3002 B. 3013 C. 3024 D. 3036

170. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

A. 26 minutes 18 seconds B. 42 minutes 36 seconds C. 45 minutes D. 46 minutes 12 seconds

171. The largest four – digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is

A. 8739 B. 9831 C. 9834 D. 9893


34

172. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.? A. 8 B. 12 C. 24 D. 35

173. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

A. 5 B. 10 C. 15 D. 16

174. The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:

A. 11115 B. 15110 C. 15120 D. 15210

175. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

A. 3 B. 13 C. 23 D. 33

176. Let the least number of six digits, which when divided by 4, 6, 10 and 15, leaves in each case the same remainder of 2, be N. The sum of the digits in N is:

A. 3 B. 4 C. 5 D. 6

177. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

A. 15 CM B. 25 CM C. 35 CM D. 42 CM

178. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9000 B. 9400 C. 9600 D. 9800

179. The least number of five digits which is exactly divisible by 12, 15 and 18, is:

A. 10010 B. 10015 C. 10050 D. 10080


35

180. The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case, is:

A. 64 B. 124 C. 156 D. 26


36

DECIMAL FRACTIONS

181. 181..Evaluate:(2.39)2 - (1.61)2 / 2.39 - 1.61

A. 20 B. 4 C. 6 D. 8

182. What decimal of an hour is a second ?

A. .0025 B. .0256 C. .00027 D. .000126

183. The value of (0.96)3 - (0.1)3

is: (0.96)2 + 0.096 + (0.1)2

A. 0.86 B. 0.95 C. 0.97 D. 1.06

184. When 0.232323..... is converted into a fraction, then the result is:

A. 1/5 B. 2/9 C. 23/99 D. 23/100

185. The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square forx equal to:

A. 0.02 B. 0.2 C. 0.04 D. 0.4

186. The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2001, the price of commodity X was Rs.4.20 and that of Y was Rs.6.30, in which year commodity X will cost 40 paisa more than the commodity Y ?

A. 2010 B. 2011 C. 2012 D. 2013

87. The rational number for recurring decimal 0.125125.... is:

A. 63/487 B. 119/993 C. 125/999 D. None of these


37

188. Which of the following is equal to 3.14 x 106 ?

A. 314 B. 3140 C. 3140000 D. None of these

189. How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?


190. The correct expression of 6.46 in the fractional form is:

A. 646/99 B. 64640/1000 C. 640/100 D. 640/99

191. 3.87 - 2.59 = ?

A. 1.20 B. 1.2 C. 1.27 D. 1.28


38

SIMPLIFICATION 192. A man has Rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?

A. 45 B. 60 C. 75 D. 90

193. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

A. 20 B. 80 C. 100 D. 200

194. If a - b = 3 and a2 + b2 = 29, find the value of ab.

A. 10 B. 12 C. 15 D. 18

195. The price of 2 sarees and 4 shirts is Rs.1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?

A. Rs.1200 B. Rs.2400 C. Rs.4800 D. Cannot be determined

196. One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs.1,50,000 as total savings, how much has he saved in Public Provident Fund ?

A. Rs.30,000 B. Rs.50,000 C. Rs.60,000 D. Rs.90,000

197. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

A. 30 birds B. 60 birds C. 72 birds D. 90 birds

198. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?

A. 10 B. 35 C. 62.5 D. Cannot be determined


39

199. Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

A. 1/7 B. 1/8 C. 1/9 D. 7/8

200. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs.2.40 per hour for regular work and Rs.3.20 per hours for overtime. If he earns Rs.432 in 4 weeks, then how many hours does he work for?

A. 160 B. 175 C. 180 D. 195

201. A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

A. 22 B. 23 C. 24 D. 26

202. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

A. 19 B. 28 C. 30 D. 37


40

TIME AND DISTANCE 203. The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and from journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is:

A. 45 km/hr. B. 47.5 km/hr. C. 52 km/hr. D. 56.25 km/hr.

204.Walking 6

7

th of his usual speed, a man is 12 minutes too late. The usual time taken by him

to cover that distance is: A. 1 hour B. 1 hr 12 min C. 1 hr 15 min D. 1 hr 20 min

205. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:


206. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 9 B. 10 C. 12 D. 20

207. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hour B. 2 hours C. 3 hours D. 4 hours

208. A man completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

A. 220 km B. 224 km C. 230 km D. 234 km


41

209. A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

A. 35.55 km/hr B. 36 km/hr C. 71.11 km/hr D. 71 km/hr

210. A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

A. 17 6/7km/hr (mixed fractions) B. 25 km/hr C. 30 km/hr D. 35 km/hr

211. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?


212. A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is: A.35

B. 36 2

3

C. 37 1

2 D. 40 213. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

A. 2 : 3 B. 3 : 2 C. 3 : 4 D. 4 : 3

214. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hr B. 2 hr C. 3 hr D. 4 hr


42

215. A car travels from P to Q at a constant speed. If its speed were increased by 10 km/hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities?

A. 420 km B. 540 km C. 600 km D. 650 km

216. Mary jogs 9 km at speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?

A. 9 km/hr B. 10 km/hr C. 12 km/hr D. 14 km/hr

217. Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?

A. 9:20 B. 11:9 C. 11.20 D. none of these

218. A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time, to cover the remaining distance in the remaining time, his speed (in km/hr) must be:

A. 6 B. 8 C. 12 D. 15

219. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?

A. 10am B. 10.30am C. 11am D. 11.30am

220. Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that speed travels at 330 meters per second, is:

A. 19.8 B. 58.6 C. 9.4 D. 111.80


43

221. .

PERCENTAGE 221. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

A. 45% B. 500/11% C. 600/11% D. 55%

222. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

A. 39, 30 B. 41, 32 C. 42, 33 D. 43, 34

223. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A. 588 apples B. 600 apples C. 672 apples D. 700 apples

224. What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

A. 1 B. 14 C. 20 D. 21

225. If A = x% of y and B = y% of x, then which of the following is true?

A. A is smaller than B. B. A is greater than B C. Relationship between A and B cannot be determined. D. If x is smaller than y, then A is greater than B. E. None of these

226. If 20% of a = b, then b% of 20 is the same as:

A. 4% of a B. 5% of a C. 20% of a D. None of these

227. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

A. 72 B. 80 C. 120 D. 150 E. 100


44

228. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

A. 2 : 3 B. 1 : 1 C. 3 : 4 D. 4 : 3

229. A student multiplied a number by 3/5 instead of 5/3.What is the percentage error in the calculation?

A. 34% B. 44% C. 54% D. 64%

230. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

A. 2700 B. 2900 C. 3000 D. 3100

231. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A. 57% B. 60% C. 65% D. 90%

232. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

A. Rs.200 B. Rs.250 C. Rs.300 D. None of these

233. Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A. Rs.15 B. Rs.15.70 C. Rs.19.70 D. Rs.20

234. Rajeev buys good worth Rs.6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

A. Rs.6876.10 B. Rs.6999.20 C. Rs.6654 D. Rs.7000


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235. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

A. 4.37% B. 5% C. 6% D. 8.75%


46

VOLUME AND SURFACE AREAS 236. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

A. 12 cm3 B. 15 cm3 C. 16 cm3 D. 20 cm3

237.In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A. 75 cu. m B. 750 cu. m C. 7500 cu. m D. 75000 cu. m

238. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A. 720 B. 900 C. 1200 D. 1800

239.66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in meters will be:

A. 84 B. 90 C. 168 D. 336

240. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

A. 3.6 kg B. 3.696 kg C. 36 kg D. 36.9 kg

241. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

A. 12 kg B. 60 kg C. 72 kg D. 96 kg

242.50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

A. 20 cm B. 25 cm C. 35 cm D. 50 cm


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243. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

A. 30 m2 B. 40 m2 C. 60 m2 D. 80 m2

244. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A. 49 m2 B. 50 m2 C. 53.5 m2 D. 55 m2

245. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

A. 4830 B. 5120 C. 6420 D. 8960

246. The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

A. 3 : 7 B. 7 : 3 C. 6 : 7 D. 7 : 6

247.A cistern of capacity 8000 liters measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A. 90 cm B. 1 dm C. 1 m D. 1.1 cm

248. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A. 344.35 cm2 B. 462 cm2 C. 498.35 cm2 D. None of these

249. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A. 2 : 1 B. 3 : 2 C. 25 : 18 D. 27 : 20


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250. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

A. 5600 B. 6000 C. 6400 D. 7200

251. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is :

A. 50 kg B. 60 kg C. 70 kg D. 80 kg

252. The cost of the paint is Rs.36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side?

A. Rs.850 B. Rs.860 C. Rs.876 D. Rs.886

253. A cylindrical tank of diameter 35 cm is full of water. If 11 liters of water is drawn off, the water level in the tank will drop by:

A. 1137cm B. 1127cm C. 1117cm D. 11cm

254. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8g/cm cube, then find the weight of the pipe.

A. 3.696 kg B. 3.686 kg C. 2.696 kg D. 2.686 kg

255(a).A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m cube) is:

A. 4120 m cube B. 4140 m cube C. 5140 m cube D. 5120 m cube

255(b).A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is

A. 12 kg B. 60 kg C. 72 kg D. 96 kg


49

256. The heights of a wall are six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cu .m, its width is

A. 4 m B. 4.5 m C. 5 m D. 6 m

257. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is

A. 3220 B. 4830 C. 5120 D. 6420

258. The cost of the paint is Rs.36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side?

A. Rs.692 B. Rs.768 C. Rs.876 D. Rs.972


50

PROFIT AND LOSS

259. Alfred buys an old scooter for Rs.4700 and spends Rs.800 on its repairs. If he sells the scooter for Rs.5800, his gain percent is:

A. 32/7 % B. 60/11 % C. 10% D. 12%

260. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A. 15 B. 16 C. 18 D. 25

261. If selling price is doubled, the profit triples. Find the profit percent.

A. 200/3 B. 100 C. 316/3 D. 120

262.In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A. 30% B. 70% C. 100% D. 250%

263. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%? A. 3 B. 4 C. 5 D. 6

264.The percentage profit earned by selling an article for Rs.1920 is equal to the percentage loss incurred by selling the same article for Rs.1280. At what price should the article be sold to make 25% profit?

A. Rs.2000 B. Rs.2200 C. Rs.2400 D. Data inadequate

265. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs 392, what was his profit?

A. Rs.18.20 B. Rs.70 C. Rs.72 D. Rs.88.25


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266. A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?

A. Rs.1090 B. Rs.1160 C. Rs.1190 D. Rs.1202

267. Sam purchased 20 dozens of toys at the rate of Rs.375 per dozen. He sold each one of them at the rate of Rs.33. What was his percentage profit?

A. 3.5 B. 4.5 C. 5.6 D. 6.5

268.Some articles were bought at 6 articles for Rs.5 and sold at 5 articles for Rs.6. Gain percent is:

A. 30% B. 100/3 % C. 35% D. 44%

269. On selling 17 balls at Rs.720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

A. Rs.45 B. Rs.50 C. Rs.55 D. Rs.60

270. When a plot is sold for Rs.18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A. Rs.21,000 B. Rs.22,500 C. Rs.25,300 D. Rs.25,800

271.100 oranges are bought at the rate of Rs.350 and sold at the rate of Rs.48 per dozen. The percentage of profit or loss is:

A. 100/7 % gain B. 15% gain C. 100/7 % loss D. 15 % loss

272. A shopkeeper sells one transistor for Rs.840 at a gain of 20% and another for Rs.960 at a loss of 4%. His total gain or loss percent is:

A. 100/17 % loss B. 100/17 % gain C. 20/3 % gain D. None of these


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273.A trader mixes 26 kg of rice at Rs.20 per kg with 30 kg of rice of other variety at Rs.36 per kg and sells the mixture at Rs.30 per kg. His profit percent is:

A. No profit, no loss B. 5% C. 8% D. 10%

274. Sam purchased 20 dozens of toys at the rate of Rs.375 per dozen. He sold each one of them at the rate of Rs.33. What was his percentage profit?

A. 3.5 B. 4.5 C. 5.6 D. 6.5

275. A shopkeeper gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of a radio. If the final sale price of the radio is Rs.704, then what is its labeled price?

A. Rs.844.80 B. Rs.929.28 C. Rs.1000 D. Rs.1044.80

276. A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm. instead of kilogram weight. Thus, he makes a profit of

A. 20% B. 22% C. 25% D. None of these

277.A book was sold for Rs.27.50 with a profit of 10%.If it were sold for Rs.25.75, then what would have been the percentage of profit or loss?

A. 2% B. 3% C. 4% D. 5%

278. A man sells two flats at the rate of Rs.1.995 lakhs each. On one he gains 5% and on the other, he loses 5%. His gain or loss percent in the whole transaction is

A. 0.25% loss B. 0.25% gain C. 2.5% loss D. 25%loss


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ALLIGATION OF MIXTURES

279. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A. 1/3 B. 1/4 C. 1/5 D. 1/7

280.Tea worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be:

A. Rs.169.50 B. Rs.170 C. Rs.175.50 D. Rs.180

281.A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 liters of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?

A. 10 B. 20 C. 21 D. 25

282.A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?

A. 4 litres, 8 litres B. 6 litres, 6 litres C. 5 litres, 7 litres D. 7 litres, 5 litres

283.In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs.20 per kg respectively so as to get a mixture worth Rs 16.50 kg?

A. 3 : 7 B. 5 : 7 C. 7 : 3 D. 7 : 5

284. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

A. 4% B. 6 % C. 20% D. 25%


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285. How many kilogram of sugar costing Rs.9 per kg must be mixed with 27 kg of sugar costing Rs.7 per kg so that there may be a gain of 10% by selling the mixture at Rs.9.24 per kg?

A. 36 kg B. 42 kg C. 54 kg D. 63 kg

286.A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

A. 26.34 litres B. 27.36 litres C. 28 litres D. 29.l6 litres

287.A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

A. 1/3 B. 2/3 C. 2/5 D. 3/5

288.In what ratio must water be mixed with milk to gain 16 % on selling the mixture at cost price?

A. 1 : 6 B. 6 : 1 C. 2 : 3 D. 4 : 3

289.Find the ratio in which rice at Rs.7.20 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg.

A. 1 : 3 B. 2 : 3 C. 3 : 4 D. 4 : 5

290.In what ratio must a grocer mix two varieties of tea worth Rs.60 a kg and Rs.65 a kg so that by selling the mixture at Rs.68.20 a kg he may gain 10%?

A. 3 : 2 B. 3 : 4 C. 3 : 5 D. 4 : 5

291.The cost of Type 1 rice is Rs.15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

A. Rs.18 B. Rs.18.50 C. Rs.19 D. Rs.19.50


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292.8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 81. How much wine did the cask hold originally?

A. 18 litres B. 24 litres C. 32 litres D. 42 litres

293. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A. 400 kg B. 560 kg C. 600 kg D. 640 kg

294. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A. 10 B. 20 C. 21 D. 25

295.In what ratio must be a grocer mix two varieties of tea worth Rs.60 a kg and Rs.65 a Kg so that by selling the mixture at Rs.68.20 a Kg he may gain 10% ?

A. 3 : 4 B. 3 : 2 C. 3 : 5 D. 4 : 5

296.A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohols and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced of whisky replaced is

A. 1 / 3 B. 2 / 3 C. 2 / 5 D. 3 / 5

297. The cost of Type 1 rice is Rs.15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

A. Rs.19.50 B. Rs.19 C. Rs.18 D. Rs.18.50

298. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5 ?

A. 4litres, 8litres B. 6litres, 6litres C. 5litres, 7litres D. 7litres,4litres


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NUMBER SYSTEM

299. It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

A. (216 + 1) B. (216 - 1) C. (7 x 223) D. (296 + 1)

300. What is the unit digit in {(6374)1793 x (625)317 x (341491)}? A. 0 B. 2 C. 3 D. 5

301. If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be:


302. (?) - 19657 - 33994 = 9999 A. 63650 B. 53760 C. 59640 D. 61560 E. None of these

303. 753 x 753 + 247 x 247 - 753 x 247 =? 753 x 753 x 753 + 247 x 247 x 247

A. 1/1000 B. 1/506 C. 253/500 D. None of these

304. What will be remainder when (6767 + 67) is divided by 68 ?

A. 1 B. 63 C. 66 D. 67


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305. A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

A. 10 B. 11 C. 12 D. 15

306. In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been

A. 24 B. 144 C. 292 D. 584

307. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct, then the correct answer would be:

A. 553681 B. 555181 C. 555681 D. 556581

308. Which natural number is nearest to 9217, which is completely divisible by 88?

A. 9152 B. 9240 C. 9064 D. 9184 E. None of these

309.What will be remainder when 17200 is divided by 18 ?

A. 17 B. 16 C. 1 D. 2

310. The difference between the place value and the face value of 6 in the numeral 856973 is


311. What is the unit digit in(795 - 358)?

A. 0 B. 4 C. 6 D. 7

312. What is the unit digit in (4137)754?

A. 1 B. 3 C. 7 D. 9


58

313. On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will the remainder?

A. 0 B. 1 C. 2 D. 3

314. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be

A. 1, 2 B. 2, 3 C. 3, 2 D. 4, 1

315. How many numbers between 200 and 600 are divisible by 4,5 and 6?

A. 5 B. 6 C. 7 D. 8

316. 325325 is a six digit number. It is divisible by

A. 7 only B. 11 only C. 13 only D. all 7,11,and 13


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TIME AND WORK 317. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A. 30 days B. 40 days C. 60 days D. 70 days

318. A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?


319. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in?

A. 5 days B. 7 5/6 days (mixed fraction) C. 10 days D. 15 2/3 days(mixed fraction)

320. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days. A lone can finish the remaining work?

A. 5 B. 11/2 C. 6 D. 8

321. A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

A. 30 days B. 35 days C. 40 days D. None of these

322. A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?


323. A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?

A. 1/2 B. 7 days C. 7 ½ days D. 8 days


60

324. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?


325. A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs.1500 for the whole work, the daily wages of B and C are?

A. Rs150 B. Rs225 C. Rs250 D. Rs300

326. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?

A. 15 B. 18 C. 25 D. 16

327. A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:

A. 6 B. 8 C. 9 D. 12

328. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A. Rs.375 B. Rs.400 C. Rs.600 D. Rs.800

329. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it?


330. A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for?

A. 12 days B. 12 1/4 days(mixed fraction) C. 14 days D. 241/2days(mixedfraction)


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SIMPLE INTEREST 331. An automobile financier claims to be lending money at the simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

A. 10% B. 10.25% C. 10.5% D. none

332.A lends Rs.2500 to B and a certain sum to C at the same time at 7% per annum simple interest. If after 4 years, A altogether receives Rs.1120 as interest from B and C, then the sum lent to C is:

A. Rs.700 B. Rs.1500 C. Rs.4000 D. Rs.6500

333. Rs.7500 is to be paid in 3 years at 5% C.I. in equal annual Instalments. Find the amount of each installment.

A. 2754 B. 2457 C. 2574 D. 4257

334.A sum is lent at C.I. for 2 years at 10%. It will yield Rs.500 more when the interest is received half – yearly. Find the sum lent.

A. 135270 B. 135702 C. 135720 D. 135072

335.Mr. Mani invested an amount of Rs.12000 at the simple interest rate of 10% per annum and another amount at the simple interest rate of 20% per annum. The total interest earned at the end of one year on the total amount invested became 14% per annum. Find the total amount invested.

A. Rs.20000 B. Rs.20800 C. Rs.21000 D. none

336.Nitin borrowed some money at the rate of 6% per annum for the first three years, 9% per annum for the next five years and 13% per annum for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs.8160, how much money did he borrow?

A. Rs.8000 B. Rs.12000 C. Rs.10000 D. data inadequate


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337, A certain sum in invested for T years. It amounts to Rs.400 at 10% per annum. But when invested at 4% per annum, it amounts to Rs.200. Find the time (T).

A. 41 years B. 39 years C. 50 years D. None

338. The interest on a certain deposit at 4.5% per annum is Rs.202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% per annum?

A. Rs.20.25 B. Rs.22.50 C. Rs.25 D. Rs.42.75

339.A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs.354. One-fourth of the first sum is equal to one-fifth of the second sum. The total sum invested was

A. Rs.2600 B. Rs.2700 C. Rs.2880 D. Rs.2900

340.Divide Rs.2379 into 3 parts so that their amount after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is:

A. Rs.759 B. Rs.792 C. Rs.818 D. Rs.828

341.Mr. Thomas invested an amount of Rs.13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs.3508, what was the amount invested in scheme B?

A. Rs.6400 B. Rs.6500 C. Rs.7200 D. Rs.7500

342.David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs.3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?

A. Rs.5000 B. Rs.6500 C. Rs.8000 D. cannot be determined

343. A sum of Rs.2600 is lent out in two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another at 9% for 6 years. The sum lent out at 10% is :

A. Rs.1150 B. Rs.1250 C. Rs.1350 D. Rs.1450


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344. Mr.Prakash borrowed a sum of Rs.10000 from a finance company for 6 years at 8% per annum. The amount returned by Mr.Prakash to the finance company is

A. Rs.14800 B. Rs.12600 C. Rs.13300 D. None

345. Peter invested an amount of Rs. 12,000 at the rate of 10 p.c.p.a simple interest and another amount at the rate of 20 p.c.pa simple interest. The total interest earned at the end of one year on the total amount invested became 14 p.c.p.a. Find the total amount invested A. Rs.20000 B. Rs.22000 C. Rs.24000 D. Rs.25000 346.A sum of Rs.7700 is to be divided among three brothers vikas, Vijay and Viraj in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 years, respectively remains equal. The Share of Vikas is more than that of Viraj by

A. Rs.2800 B. Rs.2500 C. Rs.3000 D. None

347. If simple interest on a certain sum of money is Rs.256 and the rate of interest per annum equals the number of years, then the rate of interest is

A. 13% B. 14% C. 16% D. None

348. A sum at Simple Interest amounts to Rs.1000 in 2 years and Rs.4000 in 5 years. Find the sum and rate of interest.

A. Rs.1300 B. Rs.1400 C. Rs.1200 D. Rs.1500

349. A sum of money is lent at S.I for 8 years. If the same amount is paid at 5% higher, Ramesh would have got Rs.100 more. Find the Principal.

A. 200 B. 240 C. 250 D. 500


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COMPOUND INTEREST 350. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs.1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

A. 120 B. 121 C. 122 D. 123

351. Simple interest on a sum at 4 % per annum for 2 years is Rs. 80. The compound interest on the same sum for the same period is

A. Rs.81.60 B. Rs.160 C. Rs.1081.60 D. None

352. Akash borrows Rs 65,000 at 10% per annum simple interest for 3 years and lends it at 10% per annum compound interest for 3 years. Find his gain after three year.

A. Rs.2015 B. Rs.1330 C. Rs.1300 D. None

353. A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to 8 times?


354. Sanjay borrowed a certain sum from Anil at a certain rate of simple interest for 2 years. He lent this sum to Ram at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs.4200 as compound interest but paid Rs.4000 only as simple interest. Find the rate of interest.

A. 15% B. 20% C. 10% D. 35%

355. What is the difference between the compound interests on Rs.5000 for 1 years at 4% per annum compounded yearly and half-yearly?

A. Rs.2.04 B. Rs.3.06 C. Rs.4.80 D. Rs.8.30


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356.The compound interest on Rs.30,000 at 7% per annum is Rs.4347. The period (in years) is: A. 2 B. 2 ½ C. 3 D. 4

357. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:

A. 6.06% B. 6.07% C. 6.08% D. 6.09%

358. The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

A. 3 B. 4 C. 5 D. 6

359. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 % .p.a.?

A. Rs.9000.30 B. Rs.9720 C. RS.10123.20 D. Rs.10483.20

360. The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is:

A. Rs.400 B. Rs.500 C. Rs.600 D. Rs.800

361. The difference between compound interest and simple interest on an amount of Rs.15,000 for 2 years is Rs.96. What is the rate of interest per annum?

A. 8 B. 10 C. 12 D. cannot be determined

362. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A. Rs.51.25 B. Rs.52 C. Rs.54.25 D. Rs.60


66

PROBABILITY

363. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is

A. 3/20 B. 29/34 C. 47/100 D. 13/102

364. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is:

A. 1/22 B. 3/22 C. 2/91 D. 2/77

365. Two dice are tossed. The probability that the total score is a prime number is:

A. 1/6 B. 5/12 C. 1/2 D. 7/9

366. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A. 1/15 B. 25/57 C. 35/256 D. 1/221

367. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A. 1/2 B. 2/5 C. 8/15 D. 9/20

368. An unbiased die is tossed. Find the probability of getting a multiple of 3.

A. 1/2 B. 2/4 C. 1/4 D. 1/3

369. Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is divisible by 4 or 6?

A. 5/18 B. 7/18 C. 9/18 D. 12/18


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370. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is

A. 4/19 B. 7/19 C. 12/19 D. 21/95

371. In a simultaneous of two dice, what is the probability of getting a total of 10 or 11?

A. 1/4 B. 1/6 C. 7/12 D. 5/36

372. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

A. 1/10 B. 2/5 C. 2/7 D. 5/7


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PERMUTATIONS AND COMBINATION 373. In how many ways can 5 man draw water from 5 taps if no tap can be used more than once?

A. 720 B. 60 C. 120 D. None

374. Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?

A. 720 B. 125 C. 120 D. 729

375. A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 8 from part P and 4 from part Q, in how many ways can he do that?

A. 6020 B. 9450 C. 1200 D. None

376.25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?

A. 600 B. 625 C. 576 D. None

377. How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?

A. 720 B. 360 C. 1420 D. 1680

378. There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?

A. 3200 B. 3600 C. 2400 D. None

379. How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once?

A. 720 B. 120 C. 24 D. None


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380. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated?

A. 20 B. 16 C. 24 D. 8

381. How many arrangements can be made out of the letters of the word ‘ENGINEERING’?

A. 924000 B. 277200 C. 182000 D. None

382. A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?

A. 64 B. 128 C. 32 D. None

383. In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?

A. 64 B. 128 C. 36 D. None

384. In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?

A. 720 B. 122 C. 420 D. None

385. How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A. 720 B. 5040 C. 420 D. None

386. There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?

A. 10420 B. 11 C. 11760 D. None


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387. In how many different ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?

A. 9800 B. 120960 C. 100020 D. None

388. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A. 1 B. 126 C. 64 D. 63

389. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A. 47200 B. 48000 C. 42000 D. 50400

390. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A. 624 B. 702 C. 756 D. 812


71

MISCELLANEOUS QUESTIONS (area)

391. An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?

A. 4.04% B. 2.02% C. 4% D. 2%

392. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?

A. 4m B. 2m C. 5m D. 3m

393. A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the percentage of decrease in area?

A. 30% B. 28% C. 32% D. 26%

394. A person walked diagonally across a square plot. Approximately, what was the percent saved by not walking along the edges?

A. 30% B. 35% C. 20% D. 25%

395. A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

A. 95 B. 92 C. 82 D. 88

396. A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?

A. 400 B. 365 C. 315 D. 385

397. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

A. 40cm B. 16cm C. 18cm D. 20cm


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398. If a square and a rhombus stand on the same base, then what is the ratio of the areas of the square and the rhombus?

A. equal to ½ B. equal to ¾ C. greater than 1 D. equal to 1

399. The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.

A. 37500 sq.m B. 40000 sq.m C. 32500 sq.m D. 30500 sq.m

400. A room 5m 44cm long and 3m 74cm broad needs to be paved with square tiles. What will be the least number of square tiles required to cover the floor?

A. 176 B. 124 C. 186 D. 224

401. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in sq. m)?

A. 142500 B. 112800 C. 142000 D. 153600

402. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A. 16 cm B. 18 cm C. 14 cm D. 20 cm

403. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

A. 814 B. 802 C. 900 D. 836

404. A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering of its walls and bottom at the rate of 75 paisa per sq. m?

A. Rs.558 B. Rs.502 C. Rs.612 D. Rs.516


73

405.It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction?

A. Rs.3500 B. Rs.4400 C. Rs.4200 D. Insufficient data


74

ANSWERS:

1. C

2. C

3. B

4. B

5. D

6. A

7. A

8. D

9. C

10. D

11. D

12. B

13. A

14. C

15. C

16. B

17. D

18. A

19. C

20. A

21. A

22. B

23. C

24. C

25. A

26. A

27. B

28. B

29. C

30. D

31. D

32. A

33. A

34. D

35. C

36. A

37. D

38. B

39. C

40. C

41. B

42. B

43. D

44. B

45. D

46. A

47. A

48. D

49. A

50. D

51. B

52. C

53. B

54. A

55. B

56. D

57. C

58. B

59. B

60. B

61. B

62. B

63. B

64. B

65. D

66. C

67. A

68. D

69. B

70. C

71. D

72. A

73. C

74. B

75. A

76. D

77. A

78. C

79. C

80. D

81. D

82. B

83. C

84. C

85. D

86. C

87. C

88. D

89. D

90. C

91. B

92. D

93. D

94. A

95. A

96. A

97. D

98. A

99. D

100. D

101. C

102. D

103. B

104. B

105. A

106. D

107. B

108. B

109. A

110. A

111. C

112. D

113. C

114. A

115. C

116. B

117. A

118. B

119. D

120. C

121. A

122. B

123. B

124. A

125. A

126. D

127. C

128. D

129. C

130. C

131. E

132. A

133. C

134. C

135. B

136. C

137. C

138. A

139. C

140. B

141. B

142. B

143. C

144. B

145. D

146. B

147. B

148. C

149. A

150. C

151. C

152. B

153. B

154. B

155. D

156. B

157. A

158. D

159. D

160. A

161. C

162. B

163. C

164. D

165. A

166. B

167. D

168. C

169. B

170. D

171. B

172. D

173. D

174. B

175. C

176. C

177. C

178. C

179. D

180. A

181. B

182. C

183. A

184. C

185. C

186. B

187. C

188. C

189. B

190. D

191. D

192. D

193. C

194. A

195. B

196. C

197. A

198. C

199. A

200. B

201. D

202. C

203. D

204. B

205. C

206. B

207. A

208. B

209. C

210. D

211. C

212. D

213. C

214. A

215. A

216. C

217. B

218. C

219. C

220. C


75

221. B

222. C

223. D

224. C

225. E

226. A

227. E

228. D

229. D

230. A

231. A

232. B

233. C

234. A

235. B

236. A

237. B

238. C

239. A

240. B

241. B

242. B

243. C

244. A

245. B

246. B

247. B

248. C

249. C

250. C

251. B

252. C

253. A

254. A

255. (a)D, (b)B

256. A

257. C

258. C

259. B

260. B

261. B

262. B

263. C

264. A

265. C

266. C

267. C

268. D

269. D

270. C

271. A

272. B

273. B

274. C

275. C

276. C

277. B

278. A

279. C

280. C

281. C

282. B

283. C

284. C

285. C

286. C

287. C

288. C

289. B

290. A

291. A

292. B

293. C

294. C

295. B

296. B

297. C

298. B

299. D

300. A

301. C

302. A

303. A

304. C

305. A

306. D

307. C

308. B

309. C

310. C

311. B

312. D

313. B

314. B

315. B

316. D

317. C

318. B

319. C

320. C

321. A

322. B

323. C

324. A

325. B

326. D

327. C

328. B

329. D

330. A

331. B

332. B

333. A

334. D

335. A

336. A

337. C

338. B

339. B

340. D

341. A

342. A

343. C

344. A

345. A

346. A

347. C

348. D

349. C

350. B

351. B

352. A

353. C

354. D

355. A

356. A

357. D

358. B

359. C

360. B

361. A

362. A

363. D

364. C

365. B

366. D

367. D

368. D

369. B

370. B

371. D

372. C

373. C

374. D

375. B

376. A

377. D

378. B

379. D

380. A

381. B

382. A

383. C

384. A

385. A

386. C

387. B

388. D

389. D

390. C

391. A

392. D

393. B

394. A

395. D

396. C

397. A

398. D

399. A

400. A

401. D

402. B

403. A

404. A

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Quantative Aptitude All Type Question and Answers

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