Quantitative Aptitude2010ECE

QUANTITATIVE APTITUDE

The following is not a triangle:(60o, 80o, 20o) B) (90o, 60o, 30o) C) (54o, 66o, 60o) D) (69o, 51o, 60o)

Ans: A (since sum of the angles in a triangle = 180o.)

The following is a planar cube (E, V, F):A) (12, 8, 6) B) (12, 6, 8) C) (6, 6, 8) D) (6, 8, 6)E - no. of edges V - no. of vertices F - no. of facesAns: A

How many B's are followed by G's which are not followed by S's in the following series:B B G M P Q B G S K O B G A S B B G D E F B G S T IAns: 4 (Another Q on the same logic was also asked.)

M(373,5) + R(3.4) + T(7.7) - R(5.8) = ___M - Modulo R - Round-off T - TruncateAns: 3 + 3 + 7 - 6 = 7(In the above, first term means the remainder obtained after dividing 373 by 5.)

5 7 11 ? 25Ans: 17

In a certain society, there are two marriage groups, Red and Brown. No marriage is permitted within a group. On marriage, males become part of their wife's group: women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden.

A Brown female could have hada grandfather born Reda grandmother born Redtwo grandfathers born Brown

I onlyII onlyI and II onlyII and III onlyI,II and III

Ans. (c)A male born into the Brown group may have

an uncle in either groupa Brown daughtera Brown sona son-in-law born into the Red groupa daughter-in-law in the Red group

Ans. (a)

Which of the following is not permitted under the rules stated?A Brown male marrying his father's sisterA Red female marrying her mother's brotherA man born Red, who is now a widower, marrying his brother's widowA widower marrying his wife's sisterA widow marrying her divorced daughter's ex-husband

Ans. (b)

If widowers and divorced males retained the group they had upon marrying, which of the following would have been permissible?(Assume no previous marriages occurred)

A woman marrying her dead sister's husband A woman marrying her divorced daughter's ex-husband.A widower marrying his brother's daughterA woman marrying her mother's brother, who is a widowerA divorced male marrying his ex-wife's divorced sister

Ans. (d)

Questions 5-8Tom wishes to enroll in Latin AA, Sanskrit A, Armenian Literature 221, and Celtic Literature 701.Latin AA meets five days a week, either from 9 to 11 A.M or from 2 to 4 P.M.Sanskrit A meets either Tuesday or Thursday from 12 noon to 3 P.M., or Monday, Wednesday, and Friday from 10 A.M to 12 noon.Armenian Literature 221 meets either Monday, Wednesday, and Friday from 12:30 to 2 P.M., or Tuesday and Thursday from 10:30 A.M to 12:30 P.MCeltic Literature 701 meets by arrangement with the instructor, the only requirement being that it meet for one four-hour session or two two-hour sessions per week, between 9A.M and 4 P.M from Monday to Friday, beginning on the hour.

Which combination is impossible for Tom?

Latin in the morning, Sanskrit on Tuesday and Thursday, and Armenian Literature on Monday, Wednesday, FridayLatin in the afternoon and Sanskrit and Armenian Literature on Monday, Wednesday, and Friday.Latin in the afternoon, Sanskrit on Monday, Wednesday, and Friday, and Armenian Literature on Tuesday and ThursdayLatin in the morning and Sanskrit and Armenian Literature on Monday, Wednesday, and FridayLatin in the afternoon, Armenian Literature on Monday, Wednesday and Friday, and Celtic Literature on Tuesday

Ans. (d)

Which of the following gives the greatest number of alternatives for scheduling Celtic Literature, assuming that all other courses?

Latin in the afternoon and Armenian Literature Monday, Wednesday and FridaySanskrit on Tuesday and Thursday and Armenian Literature on Monday, Wednesday and FridayLatin in the afternoon and Armenian Literature Tuesday and ThursdayLatin in the morning and Sanskrit on Tuesday and ThursdaySanskrit on Monday, Wednesday, and Friday. and Armenian Literature on Tuesday and Thursday

Ans. (a)

If the Celtic instructor insists on holding at least one session on Friday, in which of the following can Tom enroll?

Armenian Literature on Monday, Wednesday, and FridaySanskrit on Monday, Wednesday, and Friday

I onlyII onlyBoth I and III or II but not bothNeither I nor II

Ans. (d)

Which of the following additional courses, meeting as indicated, can Tom take?Maths--Monday, Wednesday, and Friday from 10A.M to 12 noonFrench--Monday, Wednesday, and Friday from 11A.M to 12:30 P.MEnglish--Tuesday and Thursday from 2 to 4 P.MJapanese--Tuesday and Thursday from 1 to 3 P.MOld Norse-Icelandic--Monday only from 12 to 3 P.M

Ans. (b)

Questions 9-13Ashland is north of East Liverpool and west of Coshocton Bowling Green is north of Ashland and west of FredericktownDover is south and east of AshlandEast Liverpool is north of Fredrick town and east of DoverFredrick town is north of Dover and west of AshlandCoshocton is south of Fredrick town and west of Dover

Which of the towns mentioned is furthest to the northwest?

AshlandBowling GreenCoshoctonEast LiverpoolFredericktown

Ans. (b)

Which of the following must be both north and east of Fredrick town?AshlandCoshoctonEast Liverpool

I onlyII onlyIII onlyI and III and III

Ans. (e)

Which of the following towns must be situated both south and west of at least one other town?

Ashland onlyAshland and Fredrick townDover and Fredrick townDover, Coshocton and Fredrick townDover, Coshocton and East Liverpool

Ans. (d)

Which of the following statements, if true, would make the information in the numbered statements more specific?

Coshocton is north of DoverEast Liverpool is north of DoverAshland is east of Bowling greenCoshocton is east of FredericktownBowling Green is north of Fredericktown

Ans. (a)

Which of the numbered statements gives information that can be deduced from one or more of the other statement?

(1)(2)(3)(4)(6)

Ans. (c)

Questions 14-17

Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness, and Hope

Class 1 spelunkers may not attempt cave Ewell, Fields or HopeClass 2 spelunkers may not attempt HopeClass 3 spelunkers may attempt any caveCave Caesar may be attempted only by spelunkers who have previously explored cave BennyCave Fields may be attempted only by spelunkers who have previously explored cave EwellOnly two of caves Benny, Caeser, Ewell, Fields, and Hope may be attempted by any explorer in a single tour

A class 2 spelunker who has previously explored cave Ewell may be restricted in choosing a tour by which rule(s)?

Rule (4)Rule (5)Rule (6)

I onlyII onlyI and III onlyII and III onlyI, II and III

Ans. (c)

In how many different ways may a class 1 spelunker who has never explored any of the eight caves before set up a tour of three caves, if she wishes to explore caves Abbott and Caesar?

23456

Ans. (b)

What is the maximum number of caves that a class 3 spelunker who has previously explored only cave Benny may include in a single tour?

45678

Ans. (b)

If x + y = 3 and y/x= 2 then y =?01/213/2

2Ans. (e)

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 6 ft wide?

249634561382414266

If a=2/3b , b=2/3c, and c=2/3d what part of d is b/8/274/92/375%4/3

Ans. (b)

Successive discounts of 20% and 15% are equal to a single discount of 30%32% 34% 35% 36

Ans. (b)

The petrol tank of an automobile can hold g liters.If a liters was removed when the tank was full, what part of the full tank was removed?(a)g-a(b)g/a(c) a/g(d) (g-a)/a

(g-a)/gAns. (c)

22.If x/y=4 and y is not '0' what % of x is 2x-y(a)150%(b)175%(c)200%(d)250%Ans. (b)

23.If 2x-y=4 then 6x-3y=?(a)15(b)12

(c)18(d)10Ans. (b)

24.If x=y=2z and xyz=256 then what is the value of x?(a)12(b)8(c)16(d)6Ans. (b)

25. (1/10)18 - (1/10)20 =?

99/102099/100.9None of these

Ans. (a)

26. Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank

17 1/7 mins20 mins8 minsNone of these

Ans. (a)

27. Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job?

8 hrs7 1/2 hrs7 hrs9 hrs

Ans. (b)

28. Find the smallest number in a GP whose sum is 38 and product 172812208none of these

Ans. (c)

29. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the watercurrent?

1/2 kmph

7/12 kmph5 kmphnone of these

Ans. (b)

30. A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze?

38.5 sq.m155 sq.m144 sq.m19.25 sq.m

Ans. (a)

31. 1. Value of N and! K is100, 2. N is divided by K and the integer part of the quotient is stored in I.3. N is divided by K and the reminder is stored in K I is multiplied by itself to get the new value of Iif the value of I and J are equal then N is printedadd 1 to Nif the value of N exceeds 999 then stop.go to step 2The result of the above logic is

124, 248, 369 ....b) 101 , 204, 309, .....c) 111,222, 333, ...d) none ans. (b)

32. 1. Sony =02.jimmy =13.Add jimmy to sony to get new jimmy4. add sony to jimmy to get new jimmy.5. if jimmy is equal to 34 then stop6. go to step 3What is the value of Sony when the logic terminates.

15 b) 18 c) 21 d) noneAns: d (check)

33.get the cost of the iteam (C) 1.get the no of iteams (N)2.multiply N by C to get total cost (TC)3.if Tc is above 10000 then discount (d)= 5%4. if TC is less than 10000 but more then 5000 and C is above 85 then D=4.5 %5. if Tc is less than 5000 and C>65 and N>50 then D=4% What will be te discount if 40 iteams were purchased each costing Rs 58'a)5% b) 4.5% c) 4% d)noneAns: d (check)

34. The average age of a class of 45 is 20 years. the age of the teacher is 30 years. the average age of the 45 people together is

1.j=z * l /* here * means multiplication*/2.m=j+ 303.z= 204.r=m/(l+1)5.l=45The above logic represents the solution of the given problem. The correct sequence isa)5-3-1-4-2 b)5-3-1-2-4 c)5-3-2-1-4 d)noneAns: b(check)

36.1. cost of item C= Rs 502. Total cost TC= 03. Number of iteams purchased =14. TC= TC+C5. If the reminder of N divided by 5 is 0 then reduce Rs. 10 from C6. Increase the value of N by 1using the above rule, how much money should one pay after buying 12 itemsa)480 b) 510 c)540 d) noneans..... (b) Check the answer.

37.1.R=22.J=R*R-R3.R=R+14.K=R*R-R5.print K-J6.let J=K7.if R.8 then stop8.go to 3the result of the above logic is(a)4,9,16,25.... (b)4,6,8,10.... (c)4,4,4,4.... (d)noneans (b)(check)

38. 1.T=12.T1=T*10003.T2=T+14.T3=T2*1005.T4=T2+16.T5=T4*107.T6=T4+18.T7=T1+T3+T6+T5

9.print T710.T=T+111.if T<8 then 212.stopwhich of the following value will not ptinted by abovelogic(a)6789 (b)7890 (c)7900 (d) noneans (b) 7890

39. When madam said that he was burn on 31-9-83, everybody laughed. The logical sequence of steps involved in ridiculing madam’s statement r given belowIf the day of birth is >Y(month of birth)then wrongSince 1983 is not a leap year February has 28 daysStore 31, 28, 31,…….. 31 in an array y(12)Month of birth is not less than 1 and not greater than 12; therefore month of birth is valid the right sequence of steps isa) 3-1-4-2 b) 3-2-4-1 c) 3-2-1-4 d) noneAns: b (check)

40. The logic to! Convert a 3 digit number to a word is given, Ex 123 should be written as One Two ThreeAccept the number NIf N < 100 or N > 999 go to step 1Split N into hundreds (H), Tens (T), & Units (U)Store words zero, one, two,....... in array W (10)print W(H),W(T),W(U)StopThe above logic is a) incomplete b) complete c) complete but inefficient d)noneAns: b

41. Given a number which is more than 99 but less than 1000, the logical sequence of steps to say how many hundreds, tens & units are in the given number is given below. identify the logical order.1.get the number N2.write quotient and the words 'tens'3.write the remainder and the words "units'4.write the quotient and the word "hundred"5.divide the number N by 100 and get the quotient and remainder6.divide the remainder by 10 giving the quotient and remainder(a) 1,5,6,2,3,4 (b)1,5,4,3,2,6 (c) 1,5,4,6! ,2,3 (d) noneans.c

42. 1.no of toffees in hand (TIH) =22. No of picks (NOP) = 13. Multiply TIH by 2Add 1 to NOP

If NOP is less than 4 then step 3Print TIHStopThe value of TIH at the end of execution of logic isa) 16 b) 24 c)30 d)NoneAns: a

43.the logical sequence of steps to calculate the average of N no’s is given belowLet the sum(S) of N no’s be zeroGet the value of NLet the value of A be NAdd N to SAdd 1 to AIf A is not = N then go to 4Compute average by dividing S by N the above logic is(a) Correct (b) incorrect (c) inadequate data (d) none

Ans: b(incorrect)

44. Six girls A,B,C,D,E & F have 10 marbles each. A & B take 4 marbles each from D & E respectively. C gives 3 marbles to F who in turn gives 2 marbles to D & 4 marbles to E. E takes back the marbles she had given to B and gives them to C.The equations r given belowA=A+4B=B+4D=D-4E=E-4F=F+3F=F-2F=F-4C=C-3D=D+2E=E+4B=B-4C=C+4

The above sequences of steps area) Complete b) Incomplete c) Incorrect d) noneAns: b

45.Subtract 3 from the number X. Multiply the result by 3, Add 3 & then divide this result by 3. The final result isAns: aa) X-2 b) X+2 c) X+1 d) X

46.1.values of n and k is 100.2.n is divided by k and the integer part of the quotient is stored in i.3.n is divided by k and the remainder is stored in j.4.i is multiplied by itself to get the new value of i.5.if the values of I and j are equal then n is printed.6.add 1 to n.7.if the value of n exceeds 999 then stop.8.go to step 2the result of the above logic isa. 124,248,369,�. B. 101,204,309,� c. 111,222,333,� d. noneans.B

47. 1.sony=02. jimmy =13. add jimmy to sony to get new sony4. add sony to jimmy to get new jimmy5. if jimmy is equal to 34 then stopgo to step 3 What will be the value of sony when the logic terminates

a. 15 b. 18 c. 21 d. none Ans.c

48. get cost of the item (c )1.get number of items (n)2.multiply n by c to get total cost (tc)3.if tc is above 10000 then discount (d)=5%4.if tc is less then 10000 but more than 5000 and c is above 85 then d=4.5% 5.if tc is less than 5000 and c>65 and n >50then d=4%what will be the discount if 40 items were purchased each costing Rs. 58

a. 5% b. 4.5% c. 4% d. noneans:d

49. 1.k=02. add 1 to k to get the value of z3. p= quotient of z divided by 104. m= remainder of z divided by 10 5. if m=p-1 then print z6. add 1 to k 7.if the value crosses 99then stop go to 2

the result of the above steps is

(a) 11,22,33,��. (b) 10, 21, 32,43, (c)12,23,34,��� ��.. (d) None

ans: (b)

50. A goat is tied up by a 14 m rope at a corner of a grass filled square plot having side of 15m. Calculate the amount of the square plot that he can graze and he can’t.Ans: 171m, 54m (check it)

51. 53x73=24, 61x15=56, 87x23=15, 42x24=?Ans: 26

52. Julia's is 5 more than twice the age of mahesh.Sum of their ages is 29.What is the age of mahesh?Ans: 8

53. There are 3 different posts(jobs).An interview is conducted for selecting a person in each post.3 candidates have been shortlisted for post-1 , 4 candidates for post-2 and 2 candidates for post-3 to attend the interview. Find the probability for a person in getting at least one post.Ans:2/7

54. Find the missing number?7, 26, 63, 124,_,342Ans. 215

55. The numbers A, B, C, D, E, F, G if arranged in some order we will get consecutive numbers. Their values lie in the range 0 to 10.Find the value of each of them based on the following conditions:

B is the middle of themThe value of A is 7D is 3 less than AC is greater than D F is lesser than GSum of E and G is 10

Ans: 2 3 4 5 6 7 8E F D B C A G

56. A person took 2.5 hour for a trip. He rides a car at a speed of 320 km/hr to reach the place and took 480 km/hr to come back. What is distance of the place from where he starts?Ans: 960 Km.

57. There are two clocks. One clock gains 10 minutes in an hour while other clock losses 10 minutes in an hour. Initially both the clocks set to 12'oclock.After sometime time shown by both the clocks are 6.what is the correct time now?Ans: 6' o’clock.

58. There are 3 to 5 bottles. Each bottle contains 30 to 40 gms of mushrooms. Each bottle looses 10% mushrooms. Then what the maximum possibility is of lost of mushrooms.

Ans:- 20 (take 5 bottles , each bottle contains 40 gm mushroom)

1/9, 1/3, 1, 3, ------ ans : 9

59. There are three colors of hats. Red cost Rs 6.00, blue rs3.00, white Rs0.10. he has to bye 100 hats in Rs 100.00, not more then or less then that . Then how many hats of which color he bought. Ans: 1-red,29 -blue,70- white

60. A gutter is there in the back side of a house. In each 4 feet there is a � inch inclined. If the middle of gutter is at 37 feet from one end then what is the depth of gutter? Ans: 37/(4*4)=2.312

61. A man spends � the of his life in child, 1/8 th of age in young, 1/2 as active man. And spends 11 year as old man. Then how many years he had spent as active young man. a.43 b.42 c.45 d.44Ans: d

62.1 LET T=12 LET T1=T * 10003 LET T2 = T+2 4 LET T3= T2 * 100 5 LET T4=T2+1 6 LET T5 = T4 *10 7 LET T6 = T4 +1 8 LET T7=T1+T3+T5+T6 9 PRINT T7 10 T=T+5 11 IF (T<8) THEN GOTO 2 12 STOP ENDWhich Out Put will not be printed?a)1345 b)5467 c)6900 d)all e) noneAns: b

63.1000 doors are there, 1000 peoples are there. first men opens all the opens all the doors.2nd man closes all the door of multiple of 2.3rd man opens if the door closes or close if open which are multiple 3 and so on .at last how many doors opened. a man goes 20 km/h from a to b .return 30km/h.what is the avg speed.Ans:-24km/h

64. There are two mugs, a 7ltr mug, and a 3 ltr mug. What would be the steps to fill 5ltr water in the 7 ltr jug??

fill the 3 ltr mug, pour its 3 ltrs water into7ltr mugfill the 3 ltr mug, pour its 3 ltrs water into7ltr mugfill 3 ltr mug and pour 1 ltrs water into the 7 ltr mugempty the 7 ltr mug, pour the remaining 2 ltrs water in 3ltrs jug, into the 7 ltr jug.fill the 3 ltr mug, pour its 3 ltrs water into 7ltr mug

a) abced b)acbde c)abcde d)acbedAns: abcde

65. I m chasing a thief. The thief has a head start of 10 miles over me.i have a speed 1 mile/hr greater than the thief. My dog has a speed of 10km/hr. My dog runs to and fro between me and the thief. How many miles does my dog run, before i catch the thief?a)96 miles b)124 mile c) 140 miles d) 180milesAns: 96 miles (b'cos the dog can cover a maximum of 10km/hr * 10hr=100km by the time I catch the thief. i.e., about 96 or 94 miles.

66. 2 no’s, LCM=693, GCM=11 one no: 77 find the other? Ans: 99

67. 5 children, youngest 3yrs old and no 2 children have the same age ,sum of their age is 26.Find the age of eldest.7,8,10...Ans: 8

68. Second no: is twice the first no: and first no: is thrice the third no:.Their avg is 20.Find the greatest no:Ans: 36

69. Sam, sue & sally stayed in the same road. Their house no’s are in between 1-99. They are not living in consecutive houses.Sue asked Sam "is your house no a square" and "is it greater than 50". He answered 2nd question correctly. But she thought he had answered all questions correctly, and went to a wrong address. Sally asked Sam "is your house no a cube" and "is it greater than 25". He answered 2nd question correctly. but she thought he had answered all questions correctly, and went to a wrong address.What is the house no of SAM, SUE and SALLY?

Ans: 55, Sue 81 and Sally 64

70. Camel staying across the 1000-mile desert. It grows 3000 bananas. It eats 1 banana each mile. If it has to sale these bananas. It has to cross the 1000-mile desert. It can carry 1000 bananas each time. Then how many bananas would it sale.Ans: none

71. R, T, P, R, N, P, _?ANS: L

72.6 52,51,48,43,34,27,18 this sequence is wrong. Could you tell because of which no it is going wrong.Ans: 34

73. 82, 97, 114, 133, _?Ans: 154

74. In a certain society, there are two marriage groups, Red and Brown. No marriage is permitted within a group. On marriage, males become part of their wife's group: women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden If widowers and divorced males retained the group they had upon marrying, which of the following would have been permissible?(Assume no previous marriages occurred)

A woman marrying her dead sister's husband A woman marrying her divorced daughter's ex-husband.A widower marrying his brother's daughter A woman marrying her mother's brother, who is a widower A divorced male marrying his ex-wife's divorced sister

Ans. (d)

75.12*3 =603, 15*5=507, then 13 *7=

A) 105 B) 910 C) 91 D) 109 E) none

Ans. (d)

76. A radio when sold at a certain price gives a gain of 20%. What willbe the gain percent, if sold for thrice the price?

A) 260% B) 150% C) 100% D) 50% E) None of these Ans:A

77. Four young men, Raj, Prem, Veda and Ashok are friendly with four girls Sushma, Kusum, Vimla and Poonam. Sushma and Vimla are friends. Veda’s girl friend does not like Sushma and Vimla. Kusum does not care for Veda. Prem's girl friend is friendly with Sushma. Sushma does not like Raj. Answer the following questions.With whom is Sushma friendly? A) Kusum B) Ashok C) Raj D) Prem E) None of these Ans: B

78. Find the missing number? 16415 2503 3803 377 583 879 55 89 135 203 8 13 21 31 47 1 2 3 5 7 ? A) 9 B) 11 C) 13 D) 15 E) None of these Ans: B

79. Usually when we have had an inch or more of rain in a single day,my backyard immediately has mushrooms and other forms of fungus growing in it. There are no mushrooms or fungus growing in my backyard. Which of the following would logically complete an argument with the premises given above?

Therefore, there has been no rain here in the past day. Therefore, there probably has been no rain here in the past day. Therefore, we have not had’ more than an inch of rain here in the past day. Therefore, we probably have not had more than an inch of rain here in the past day.

A) I Only B) II Only C) IV Only D) II and IV Only E) None of these Ans: C

80. A man borrowed a sum of money and agrees to payoff by paying Rs.3150 at the end of the first year and_RsA410 at the end of the second year. If the rate of compound interest is 5% p.a., find the sum borrowed. A) Rs.7, 000 B) Rs.6, 000 C) Rs.5000 D) Rs. 4000 E) None of these Ans: A

81. A group consists of equal number of men and women. Of them 10% of men and 45% of women are unemployed. If a person is randomly selected from the group. Find the probability for the selected person to be an employee.A) 29/40 B) 40/29 C)2 D) 4 E) None of these Ans:A

82. What is the smallest number which when decreased by 5 is divisible by 21, 27, 33, and 55?A. 1490 B. 10400 C. 15490 D. noneAns: B

83. There are some students in a school. The 1/2 of number of students is a whole number. The 1/6 of number of students is a whole number. The 1/5 of number of students is a whole number. The 1/7 of number of students is a whole number. Find the number of students.A. 420 B. 200 C. 390 D. 250ANS: A

84. one day a person wanted to meet a lawyer, but lawyer was busy, so he told the man to meet him 2 days after the day before the day after tomorrow .Tell what the day is ,if today is Friday.A. Monday B. Tuesday C. Wednesday D. ThursdayAns: A

85. At some diamond shop, a burglary happened. Police got hold of 3 suspects named Robbert, Davis and Andy. Each one of them pointed the other for the robbery.Robbert said �one of the other 2 has done it. I have not done that.� Latter police came to know that robber was telling lies. Tell who did that. A. Davis B. Andy C. Robert D. cant sayAns: C

86. A man fixed an appointment to meet Mr., X asked him to meet two days after the day before the after tomorrow. Today is Friday. What’s the appointed day? A. Monday B. Tuesday C. Wednesday D. Thursday Ans: B

87 .A men said he spent 1/6 of his as a child, 1/12 as salesman in a liquor shop, 1/7 and 5 years as a politician and a good husband respectively. At that time Jim was born. Jim was elected as Alderman four years back. When he was half of his age. What is his age? A. 56 B. 66 C. 76 D. 86Ans: D

88. Jack, Droug and Ann, 3 children had a race when returning from school. Ann takes 28 steps when Droug takes 24 steps, meantime Jack takes 21 steps. Jack explained that his 6 steps equal Droug’s 7 steps and Ann’s 8 steps. Who won the race?A. droug B. jack C. Ann D. none of the above Ans: A

89. 3, 6, 13, 26, 33, 66, ____A. 100 B. 83 C. 73 D.93Ans: C

90. There is a circle race going on. One of them says,�1/3 of those in front of me and � of those behind me, give the total number of children in the race�. Then the number of children took part in the race? A. 12 B. 14 C. 15 D. 13Ans: A

91. M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift?A. D/(M-3) B. MD/3 C. M/(D-3) D. 3D/(M2-3M) Ans. D

92. A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?A. 7 B. 8 C. 11 D. 12 Ans.C

93. A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together? (a) 3 days (b) 8/9 days (c) 4 days (d) can't sayAns. B

94. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses; the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary? (a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900Ans C

95. A simple interest amount of rs 5000 for six month is Rs 200. What is the annual rate of interest? a) 10% b) 6% c) 8% d) 9% Ans C

96. If a=2/3b, b=2/3c, and c=2/3d what part of d is b/(a) 8/27 (b) 4/9 (c) 2/3 (d) 75% Ans. (b)

97. Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank(a) 17 1/7 mins (b) 20 mins (c) 8 mins (d) none of theseAns. (a)

98. Thirty men take 20 days to complete a job working 9 hours a day. How many hours a day should 40 men work to complete the job?(a) 8 hrs (b) 7 1/2 hrs (c) 7 hrs (d) 9 hrs

Ans. (b)

99. A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?(a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25 sq.mAns. (a)

100. Complete the series. 3, 8, --, 24, --, 48, 63 (a).15, 36 (b) 16,35 (c)15,35 (d)11,25Ans: c

101. A certain number of bullets were shared by 3 people equally. Each of them fired 4 bullets and the sum of the remaining bullets was equal to the initial share each had got. What was the initial Number of bullets?Ans: 18... (18/3=6; 6-4=2,6-4=2,6-4=2; 2+2+2=6=ans)

102) fathers age is 5 times his son's age. 4 years back the father was 9 times older than son.find the fathers' present age. ans. 40 years

103. if a, b and c are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. what will be the fuel economy if they were used combined. ans 20%

104. a can copy 50 papers in 10 hours while both a & b can copy 70 papers in 10 hours. then for how many hours required for b to copy 26 papers? ans)13

105. if vxuplvh is written as surmise, what is shdvd ?ans. peasa (hint: in the first word, the alphabets of the jumbled one is three alphabets after the corresponding alphabet in the word surmise. s = v-3, similarly find the one for shdvd)

106. if ddmuqzm is coded as central then rbdjk can be coded as --ans. qceil (hint: write both the jumbled and the coded word as a table, find the relation between the corresponding words, i.e c= d-1, n=m+1 & so on

107. bhanu spends 30% of his income on petrol on scooter. ¼ of the remaining on house rent and the balance on food. if he spends rs.300 on petrol then what is the expenditure on house rent? a) rs.525 b) rs.1000 c) rs.675 d) rs.175

108. my flight takes of at 2am from a place at 18n 10e and landed 10 hrs later at a place with coordinates 36n70w. what is the local time when my plane landed.a) 6:00 am b) 6:40am c)7:40 d)7:00 e)8:00 (hint : every 1 deg longitude is equal to 4 minutes . if west to east add time else subtract time) ans 8:00

109. in some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?ans: 138

110. the sum of the digits of a two digit number is 8. when 18 is added to the number, the digits are reversed. find the number? ans. 35

111. low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. sum of the low tem.  and highest temp. is 100 degrees. then what is the low temp?Ans (40 deg.)

112. a person was fined for exceeding the speed limit by 10mph. another person was also fined for exceeding the same speed limit by twice the same. if the second person was traveling at a speed of 35 mph, find the speed limit.sol: let ‘x’ be the speed limitperson ‘a’ was fined for exceeding the speed limit by = 10mphperson ‘b’ was fined for exceeding the speed limit by = twice of ‘a’ = 2*10mph=20mphgiven that the second person was traveling at the speed of 35mph=> 35mph – 20mph = 15mph

113. a man, a woman, and a child can do a piece of work in 6 days. man only can do it in 24 days. woman can do it in 16 days and in how many days child can do the same work? ans 16

114. the size of the bucket is n kb. the bucket fills at the rate of 0.1 kb per millisecond. a programmer sends a program to receiver. there it waits for 10 milliseconds. and response will be back to programmer in 20 milliseconds. how much time the program takes to get a response back to the programmer, after it is sent? Ans 30milliseconds

115. NESTIN is a jumbled word. What are the first and last letters of the correct word?

116. Astronauts in stable orbits around the earth are in a state of weightlessness because (a) There is no gravitational force acting on them.

(b) The satellite and the air inside it have an acceleration equal to that of gravitational acceleration there.

(c) The gravitational force of the earth and the sun balance giving null resultant. (d) There is no atmosphere at the height at which the satellites move.

Ans. (b)

117. Which of the following statements is not true?(a) The ratio of the mean speed to the rms speed is independant of temperature

(b) Tthe square of the mean speed of the molecules is equal to the mean squared speed at a certain temperature

(c) Mean kinetic energy of the gas molecules at any given temperature is independant of the mean speed

(d) None

Ans. (b)

118. If the sum of the roots of the equation ax2 + bx + c=0 is equal to the sum of the squares of their reciprocals     then a/c, b/a, c/b are in

(a) AP(b) GP(c) HP(d) None of these

Ans. (c)

118. A man speaks the truth 3 out of 4 times. He throws a die and reports it to be a 6. What is the probability of it being a 6?

(a) 3/8(b) 5/8(c) 3/4(d) None of the above

Ans. (a)

119. If cos2A + cos2B + cos2C = 1 then ABC is a

(a) Right angle triangle(b) Equilateral triangle(c) All the angles are acute(d) None of these

Ans. (a)

120. Image of point (3,8) in the line  x + 3y = 7 is

(a) (-1,-4)(b) (-1,4)(c) (2,-4)(d) (-2,-4)

Ans. (a)

121. The mass number of a nucleus is

(a) Always less than its atomic number(b) Always more than its atomic number(c) Sometimes more than and sometimes equal to its atomic number(d) None of the above

Ans. (c)

122. How many bonds are present in CO2 molecule?

(a) 1(b) 2(c) 0(d) 4

Ans. (d)

123. Six persons A,B,C,D,E & F went to solider cinima. There are six conseutive seats. A sits in one of the seats followed by B, followed by C and soon. If a taken one of the six seats , then B should sit adjacent to A. C should sit adjacent A or B. D should sit adjacent to A, B,or C and soon. How many possibilities are there?

Ans: 32 ways.

124. In mathematica country 1,2,3,4....,8,9 are nine cities. Cities which form a no. that is divisible by 3 are connected by air planes. (e.g. cities 1 & 2 form no. 12 which divisible by 3 then 1 is connected to city 2). Find the total no. of ways you can go to 8 if you are allowed to break the journies.

Ans: 5.

125. An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating. ANS. 150.

126. Every day a cyclist meets a train at a particular crossing. The road is straignt before the crossing and both are travelling in the same direction. Cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. What is the speed of the train.Ans: 60 mph.

127. There is a 5digit no. 3 pairs of sum is eleven each.Last digit is 3 times the first one.3 rd digit is 3 less than the second. 4 th digit is 4 more than the second one.Find the digit.

ans : 25296.

128. There are five thieves, each loot a bakery one after the other such that the first one takes 1/2 of the total no. of the breads plus 1/2 of bread. Similarly 2nd, 3rd,4th and 5fth also did the same. After the fifth one no. of breads remained are 3. Initially how many breads were there?

ans : 31.

129. Two people X & Y walk on the wall of a godown in opposite direction. They meet at a point on one side and then go ahead. X after walking for some time, walks in opposite direction for 15 mtrs.Then again he turns back and walks in the original direction. What distance did Y walk before they met again, if X walks 11 mtrs by the time Y walks

8 mtrs.

130. Find a five digit number subject to following conditions:-a. It contains 2 prime no digits.b. 3rd digit is the lagest.c. 1st digit = (3 rd digit - 1).c. Sum of 4th digit and 5th digit is less than 1st digit.d. Value of the 5th digit lies between the value of 1st digit and 2nd digit, 5th digit is one half of the 4th digit.Ans: 71842

131. 1, 2 , 3, 4 digits are available. How many number of 4 digited numbers which are divisible by 4. (There should be no repetition of digits in the numbers) can be formed?

Ans: 6 numbers

132. There is one lily in the pond on 1st june. There are two in the pond on 2nd june . There are four on 3rd june and so on. The pond is full with lilies by the end of the june.

(i) On which date the pond is half full?Ans: 29th. --the june has 30 days).(ii) If we start with 2 lilies on 1st june when will be the pond be full with lilies.Ans: 29th June.

133. A lorry starts from Banglore to Mysore at 6.00 A.M, 7.00 A.M, 8.00 am.....10 pm. Similarly one another starts from Mysore to Banglore at 6.00 am,7.00 am, 8.00 am.....10.00pm. A lorry takes 9 hours to travel from Banglore to Mysore and vice versa.

(i) A lorry which has started at 6.00 am will cross how many lorries. Ans: 10.(ii) A lorry which had started at 6.00pm will cross how many lorries. Ans: 14.

134. From a vessel, 1/3rd of the liquid evaporates on the first day. On the second day 3/4th of the remaining liquid evaporates. What fraction of the volume is present at the end of the second day.

Ans: 50%.

135. There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes. What is the no of cubes which have no pointed sides?

Ans: 8.

136. Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am 38 and you are atleast 5 years older than me. Now, Sam says you are atleast 39. All the statements by the two are false. How old are they really?

Ans: Mala = 38 yrs; Sam = 41 yrs

137. A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?

Ans: 18.

138. A & B two places. C & D are two people. C started from A and D started from B. When they meet each other in the way C traveled 18 m more than D. Then C takes 13 and half a minute and D takes 24 minutes to reach the other end. What was the distance between A & B.

Ans: 126.

139. a + b + c +d = d + e + f + g = g + h + i =17.If a = 4, what are the values of d and g. Each letter taken only one of the digit from 1 to 9.Ans: a = 4 ,b = 2, c =6, d = 5, e = 3, f = 8, g = 1, h = 7, i = 9.

140. A clock showing 6 o'clock takes 30 secs to strike 6 times. How long will it take to strike 12 at midnight?

Ans: 66 seconds

141. There are 3 societies A, B amp; C having some tractors each. A Gives B and C as many tractors as they already have. After some days B gives A and C as many tractors as they have. After some days C gives A and B as many tractors as they have. Finally each has 24 tractors. What is the original No.of tractors each had in the beginning?

Ans: A - 39. B - 21. C - 12.

142. Fifty minutes ago if it was four times as many minutes past three o'clock,how many minutes is it to six o'clock?

Ans: Twenty six minutes.

143. A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.

Ans: The sixth floor.

144. . Two trains start from stations A and B spaced 50 kms apart at the same time and speed.

As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the

first train.This is repeated till the trains collide. If the speed of the trains is 25 km/h and that of the bird is 100km/h. How much did the bird travel till the collision.

Ans: 100 kms..

145. Complete the series: 5, 20, 24, 6, 2, 8, ?

Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).

146. How can 1000000000 be written as a product of two factors neither of them containing zeros

Ans: 2 power 9 x 5 power 9

147. Light glows for every 13 seconds . How many times did it glow between 1:57:58 and 3:20:47 am.

Ans : 383 + 1 = 384

148. A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.

He is left with Rs 100/- . How much did he have with him in the begining ?Ans: Rs 250/-

149. There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour. Some boxes contain only red balls and others contain only blue.One sales man sold one box out of them and then he says " I have the same number of red balls left out as that of blue ".Which box is the one he solds out ?

Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30and also 14 + 16 = 5 + 7 + 18 = 30

150. Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass.How many cows are needed to eat the grass in 96 days.?

Ans : 20g - grass at the beginningr - rate at which grass grows, per dayy - rate at which one cow eats grass, per dayn - no of cows to eat the grass in 96 daysg + 24*r = 70 * 24 * yg + 60*r = 30 * 60 * yg + 96*r = n * 96 * ySolving, n = 20.

151. There r some bees in a garden..1/5th of them went to a particular flower,1/3rd went to another flower,3 times the difference of the above two went to third flower..n one was remaining n it was roaming around..How many bees were there? (3 marks)

Ans:15

152. find wizard's age. his age is 3 times son's age, his father's age is 40 more than twice his age. total of their ages is 1240.

ans. 360

153. It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?

Answer: 30 days.

Explanation:Before:

One day work = 1 / 20One man’s one day work = 1 / ( 20 * 75)

Now:No. Of workers = 50 One day work = 50 * 1 / ( 20 * 75)

The total no. of days required to complete the work = (75 * 20) / 50 = 30

154. A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.

Answer: 0 %

Explanation:Since 3x / 2 = x / (2 / 3)

155. A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is …%.

Answer: 5.3 %Explanation:

He sells 950 grams of pulses and gains 50 grams.If he sells 100 grams of pulses then he will gain (50 / 950) *100 = 5.26

156. A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?

Answer: 250 lines of codes

157. A man was engaged on a job for 30 days on the condition that he would get a wage of Rs. 10 for the day he works, but he have to pay a fine of Rs. 2 for each day of his absence. If he gets Rs. 216 at the end, he was absent for work for ... days.

Answer: 7 days

Explanation:The equation portraying the given problem is: 10 * x – 2 * (30 – x) = 216 where x is the number of working days.

Solving this we get x = 23Number of days he was absent was 7 (30-23) days.

158. A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.

Answer: 150 men.

Explanation:One day’s work = 2 / (7 * 90)One hour’s work = 2 / (7 * 90 * 8)One man’s work = 2 / (7 * 90 * 8 * 75)

The remaining work (5/7) has to be completed within 60 days, because the total number of days allotted for the project is 150 days.

So we get the equation

(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of men working after the 90th day.

We get x = 225Since we have 75 men already, it is enough to add only 150 men.

159. what is a percent of b divided by b percent of a?(a) a (b) b (c) 1 (d) 10 (d) 100

Answer: (c) 1

Explanation: a percent of b : (a/100) * bb percent of a : (b/100) * a

a percent of b divided by b percent of a : ((a / 100 )*b) / (b/100) * a )) = 1

160 A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart.

Answer:Cost price of horse = Rs. 400 & the cost price of cart = 200.

Explanation:-Let x be the cost price of the horse and y be the cost price of the cart.In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain.

Therefore (10/100) * x = (20/100) * y

X = 2 * y -----------------(1)In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.

Therefore (5 / 100) * x = (5 / 100) * y + 10 -------(2)Substituting (1) in (2) we get

(10 / 100) * y = (5 / 100) * y + 10(5 / 100) * y = 10y = 200

From (1) 2 * 200 = x = 400

161 A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available. males - a, b and c; females – m, n, o and p. All players are of equal ability and there must be at least two males in the team. For a team of four, all players must be able to play with each other under the following restrictions:

b should not play with m,c should not play with p, anda should not play with o.

Which of the following statements must be false?1. b and p cannot be selected together2. c and o cannot be selected together3. c and n cannot be selected together.

Answer: 3.

Explanation:Since inclusion of any male player will reject a female from the team. Since there

should be four member in the team and only three males are available, the girl, n should included in the team always irrespective of others selection.

162. 6, 24, 60,120, 210

a) 336 b) 366 c) 330 d) 660

Answer : a) 336 Explanation : The series is 1.2.3, 2.3.4, 3.4.5, 4.5.6, 5.6.7, ..... ( '.' means product)

163) 1, 5, 13, 25

Answer : 41 Explanation : The series is of the form 0^2+1^2, 1^2+2^2,...

164) 0, 5, 8, 17

Answer : 24 Explanation : 1^2-1, 2^2+1, 3^2-1, 4^2+1, 5^2-1

165) 1, 8, 9, 64, 25 (Hint : Every successive terms are related)

Answer : 216 Explanation : 1^2, 2^3, 3^2, 4^3, 5^2, 6^3

166) 8,24,12,36,18,54 Answer : 27

167) 71,76,69,74,67,72 Answer : 67

168) 5,9,16,29,54 Answer : 103 Explanation : 5*2-1=9; 9*2-2=16; 16*2-3=29; 29*2-4=54; 54*2-5=103

169) 1,2,4,10,16,40,64 (Successive terms are related) Answer : 200 Explanation : The series is powers of 2 (2^0,2^1,..). All digits are less than 8. Every second number is in octal number system. 128 should follow 64. 128 base 10 = 200 base 8.

170) 3,5,7,12,13,17,19 Find the odd man out. Answer : 12 Explanation : All but 12 are odd numbers

171) 2,5,10,17,26,37,50,64 Find the odd man out. Answer : 64 Explanation : 2+3=5; 5+5=10; 10+7=17; 17+9=26; 26+11=37; 37+13=50; 50+15=65;

172) What is the number of zeros at the end of the product of the numbers from 1 to 100?Answer : 127

173) A fast typist can type some matter in 2 hours and a slow typist can type the same in 3 hours. If both type combinely, in how much time will they finish?

Answer : 1 hr 12 minExplanation : The fast typist's work done in 1 hr = 1/2

The slow typist's work done in 1 hr = 1/3 If they work combinely, work done in 1 hr = 1/2+1/3 = 5/6

So, the work will be completed in 6/5 hours. i.e., 1+1/5 hours = 1hr 12 min

174) Gavaskar's average in his first 50 innings was 50. After the 51st innings, his average was 51. How many runs did he score in his 51st innings. (supposing that he lost his wicket in his 51st innings)

Answer : 101Explanation : Total score after 50 innings = 50*50 = 2500

Total score after 51 innings = 51*51 = 2601 So, runs made in the 51st innings = 2601-2500 = 101

If he had not lost his wicket in his 51st innings, he would have scored an unbeaten 50 in his 51st innings.

175) Out of 80 coins, one is counterfeit. What is the minimum number of weighings needed to find out the counterfeit coin?

Answer : 4

176) What can you conclude from the statement : All green are blue, all blue are red. ?(i) some blue are green(ii) some red are green (iii) some green are not red(iv) all red are blue

(a) i or ii but not both (b) i & ii only(c) iii or iv but not both(d) iii & iv

Answer : (b)

177) A rectangular plate with length 8 inches, breadth 11 inches and thickness 2 inches is available. What is the length of the circular rod with diameter 8 inches and equal to the volume of the rectangular plate?

Answer : 3.5 inchesExplanation : Volume of the circular rod (cylinder) = Volume of the rectangular plate

(22/7)*4*4*h = 8*11*2h = 7/2 = 3.5

178) What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?Answer : 35392Explanation : The number closest to 100 which is greater than 100 and divisible by 14 is

112, which is the first term of the series which has to be summed. The number closest to 1000 which is less than 1000 and divisible by 14 is 994,

which is the last term of the series.112 + 126 + .... + 994 = 14(8+9+ ... + 71) = 35392

179) If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity.Answer : 4Explanation : Let x = s(12+s(12+s(12+.....

We can write x = s(12+x). i.e., x^2 = 12 + x. Solving this quadratic equation, we get x = -3 or x=4. Sum cannot be -ve and hence sum = 4.

180) A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in volume?

Answer : 16/3 inchesExplanation : Let x be the amount of increase. The volume will increase by the same

amount if the radius increased or the height is increased.So, the effect on increasing height is equal to the effect on increasing the radius.i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3Solving the quadratic equation we get the x = 0 or 16/3. The possible increase would be

by 16/3 inches.

181) With just six weights and a balance scale, you can weigh any unit number of kgs from 1 to 364. What could be the six weights?

Answer : 1, 3, 9, 27, 81, 243 (All powers of 3)

182) Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?

Answer : 84 yearsExplanation : x/6 + x/12 + x/7 + 5 + x/2 + 4 = x

183) If time at this moment is 9 P.M., what will be the time 23999999992 hours later?Answer : 1 P.M.Explanation : 24 billion hours later, it would be 9 P.M. and 8 hours before that it would

be 1 P.M.

184) How big will an angle of one and a half degree look through a glass that magnifies things three times?

Answer : 1 1/2 degreesExplanation : The magnifying glass cannot increase the magnitude of an angle.

185) Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.

Answer: 8, 12, 5, 20Explanation: a + b + c + d =45; a+2 = b-2 = 2c = d/2; a=b-4; c = (b-2)/2; d = 2(b-

2); b-4 + b + (b-2)/2 + 2(b-2) = 45;