Placement Paper WiproPlacement Paper – Wipro 1. 12 members were present at a board meeting. Each member shake hands with all of the other members before and after the meeting .How

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Placement Paper – Wipro

1. 12 members were present at a board meeting. Each member shake hands with all of the other members before and after the meeting .How many hand shakes were there?

Answer: 132

Explanation :

In order to have a hand shake there must be two members. Therefore to select 2 out of 12 we have 12C2.

This happens twice that is before and after the meeting

Answer = 12C2 × 2 = 132.

2. An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on return trip if the round trip travel time is to be 20 minutes?

Answer: 75 mph

Explanation :

Going trip time = t = dsds = 1050 × 601050 × 60 = 12 minutes.

Given total time = 20 minutes

Return trip time = Total time - Going trip time = 20 - 12 = 8 minutes = 860860 hours.

As the distance is 10 miles during even return trip,

The return speed = dtdt = 1086010860 = 10 × 60810 × 608 = 75 mph.

3. Mary and John can do a piece of work in 24 day; John and Vino in 30 days;Vino and Mary in 40 days. If Mary, John and Vino work together they will complete work in ?

Answer: 20 days

Explanation :

Given that

Mary and John take 24 days; i.e., (Mary + John)s 1 days work = 124124

John and Vino take 30 days; i.e., (John + Vino)s 1 days work = 130130

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Vino and Mary take 40 days; i.e., (Vino + Mary)s 1 days work = 140140

Adding above 3 equations, we get,

[(Mary + John) + (John + Vino) + (John + Vino)]s 1 days work = 124+130+140124+130+140

2((Mary + John + Vino)`s 1 days work = 124+130+140124+130+140

2(Mary + John + Vino)`s 1 days work = 5+4+31205+4+3120 = 110110

Therefore, (Mary + John + Vino)`s 1 days work = 120120

i.e., Mary, John and Vino together can complete the work in 20 days.

4. My friend collects antique stamps. She purchased two, but found that she needed to raise money urgently. So she sold them for Rs. 8000 each. On one she made 20% and on the other she lost 20%. How much did she gain or lose in the entire transaction?

Answer: She lost Rs 666.67

Explanation :

Let buying price of Ist stamp be Rs.x Then 8000 - 0.2x = x x = 8000/1.2 x = Rs.6666.67

Let buying price for IInd stamp be Rs.Y Then 8000+0.2x = y y = 8000/0.8 Y = Rs. 10000

Total money spend on purchasing the stamps = x+y = 6666.67+10000 = Rs.16666.67

Total money earned by selling the stamps = Rs.8000+8000 = Rs. 16000

Loss = Buying price - selling price = Rs. 16666.67-16000 = Rs. 666.67 (Answer)

5. If the sum of n terms of two series in A.P. are in the ratio (5n + 4) : (9n + 6) then find the ratio of their 13th terms.

Answer: None of the above

Explanation :

Formula for sum of n terms in AP = SnSn = n2(2a + (n - 1)d ]

5n + 4 => 5(n - 1) + 9 => [2(92)+(n-1)5][2(92)+(n-1)5]

Common difference (d) = 5, First term (a) = 9292

Similarly

Second series given 9n + 6 =>=> 9(n - 1) + 15 ? [2(152)+(n-1)9][2(152)+(n-1)9]

Common difference (d) = 9, First term (a) = 152152

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So

13th term for first series is = a + 12d = 12921292

13th terms for second series is = a + 12d = 23122312

Ratio = 129231

6. A team P of 20 engineers can complete work or task in 32 days. Another team Q of 16 engineers can complete same task in 30 days.Then the ratio of working capacity of 1 member of P to the 1 member of Q is

Answer: 4 : 3

Explanation :

Let the capacity of an engineer in P = x units, and in Q = y units.

Working capacity of P = x × 32 × 20

Working capacity of Q = y × 16 × 30

As the total work is same, we equate the above equations.

=> x × 32 × 20 = y × 16 × 30

=> xy = 16 × 30 × 32 × 20 = 34

7. Ravi`s salary was reduced by 25%. Percentage increase to be effected to bring salary to original level =

Answer: 33.33%

Explanation :

Let the Salary be 100.

Salary was reduced by 25%. So present salary = 75.

Percentage has to be increased in order to get Original level = 2575 × 1002575 × 100 = 33.33 %

8. An ore contains 25% of an alloy that has 90% iron. Other than this, in remaining 75% of the ore ,there is no iron. How many kgs of the ore are needed to obtain 60 kg. of pure iron.?

Answer: 266.66

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Explanation :

Let us take 100x kgs of ore. Now it contains 25x kgs of alloy and it contains 90% (25x) kgs of iron.

90% (25x) = 60 kg => x = 60 × 10090 × 12560 × 10090 × 125 = 8383

So iron ore required = 100 × 8383 = 266.66

9. Find the day of the week on 16th july, 1776.

Answer: Tuesday

Explanation :

Split the year 1775 + 16th july 1776

Till 1600 years no odd days.

1601 to 1700 = 5 odd days

1701 to 1775 = 75 + 18 = 93 = 2 odd days. (75 years has 93 odd days (=> 18 leap + 57 non leap years)

upto 15th july 1776 = 31 + 29 + 31 + 30 + 31 + 30 + 15 = 197 = 1 odd day.

Total odd days = 5 + 2 + 1 = 8 = 1 odd day.

So one day after Monday. That is Tuesday.

10. The radius of a sphere is increased by 50%. The increase in surface area of the sphere is :

Answer: 125%

Explanation :

Take radius 100. Then surface area is 4 × pp × 100 × 100.

After increase radius by 50% the radius becomes100 + 50% of 100 = 150

Then new surface area is 4 × 𝜋2 × 150 × 150

Then put the values into formula of percentage = 4 𝜋 1502 – 4 𝜋 10024 𝜋 1002 × 1004 𝜋 1502 -4 𝜋 10024 𝜋 1002 × 100 = 125%

11. On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

Answer: Friday

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Explanation :

8th Dec 2007 - 8th Dec 2006 = 52 weeks 1 day. So Dec 8th 2006 is behind one day = Friday.

12. Which one of the following option is the closest in the meaning to the word given below..MITIGATE

Answer: Diminish

Explanation :

Mitigate means to make something less severe. Divulge means reveal. Denote means indicate. Diminish means to make or to cause something to become less in size, importance etc.

13. On increasing the price of T.V. sets by 30%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?

Answer: 4% increase

Explanation :

Let the price be = Rs.100, and number of units sold = 100

Then, sale value = Rs.(100 × 100) = Rs.10000

New sale value = Rs.(130 × 80) = Rs.10400

Increase% = 4001000040010000 × 100 = 4%

14. In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is :

Answer: 40%

Explanation :

Formula n(a?b) = n(a) + n(b) - n(anb)

Fail in Hindi or English = 35 + 45 - 20 = 60

Therefore students who passed = 100 - 60 = 40.

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15. Find the angle between the minute hand and hour hand of a click when the time is 7.20?

Answer: 100 degrees

16. A contractor undertook to make 15 km of roadway in 40 weeks. In 10 weeks, 3 km was complete by 180 men working 8 hours a day. The men then agreed to work 1 hour a day overtime, And some boys were engaged to assist them, the work was finished in the stipulated time(40 weeks). How many boys were employed, if the work of 3 boys is equal to that of 2 men?

Answer: 50

Explanation :

Let the capacity of man = 3 units, and boy = 2 units per hour.

Now total work = 3 × 180 × 8 × 7 × 10 = 3 km. - - - - - - - (1)

Let k boys were recruited. Now total work = (3 × 180 + 2 × k) × 9 × 7 × 30 = 12km - - (2)

By dividing 2nd equation by 1st,

=> (540+2k) × 9 × 7 × 303 × 180 × 8 × 7 × 10

= 4(540+2k) × 9 × 7 × 303 × 180 × 8 × 7 × 10 = 4

=> k = 50.

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

Answer: Rs 225

Explanation :

Let the total work = 30 units.

Then capacity of A = 3 units, B = 2 units. Now they worked for 5 days. So they must have completed 25 units.

Rest of the work 5 units done by C in 2 days. So C capacity = 5/2 = 2.5 units.

Given that toatal wages are Rs.1500 for 30 units. So for 1 unit of work they get Rs.50. Now B and C per day

work = (2 + 2.5) = 4.5 units. So their daily wages = 4.5 × 50 = Rs.225.

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18. The average of ten numbers is 7 .If each number is multiplied by 12 , then the average of new set of numbers is ?

Answer: 84

Explanation :

If each number is multiplied by K, then the new average increases by K times. So new average = 84

19. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is ?

Answer: 40

Explanation :

Let the number of correct answers be x.

Then numbers of incorrect answers will be 75 - x

We get 4x - (75 - x) × 1 = 125

On solving the equation we get x= 40.

20. A car moves at the speed of 80 km/hr. what is the speed of the car in metres per second?

Answer: 22 × 2929 m/sec

Explanation :

For convert km/hr into m/sec multiply the speed with 518518

For convert m/sec into km/hr multiply the speed with 185185

80 × 518518 => 22 × 2929 m.sec.

21. 3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?

Answer: 2 days

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Explanation :

3 man 1 day work = 1616

3 man 2 days work = 2626

Remaining work = (1 - 2626 ) = 2/3 parts.

6 man together perform the work in 1 day is = 1616 + 1616 = 2626 parts

2626 parts completed in 1 day

2323 parts will b completed in 2 days

22. A single discount % equal to three successive discounts of 30%, 20% and 10%.

Answer: 49.6%

Explanation :

Let the initial price be 100.

30% discount on 100 is 30

(100 - 30) = 70

20% discount on the 70 is 14

(70 - 14) = 56

10%discount on the 56 is 5.6

So the answer is 30 + 14 + 5.6 = 49.6

23. If “PROMPT” is coded as QSPLOS ,then “PLAYER” should be

Answer: QMBXDQ

Explanation :

1st 3 letters are denoted by its next alphabet and the next 3 letters are denoted by its previous alphabets.

24. When an array of pointers is passed through a function, what actually is passed?

Answer: address of the starting element

Explanation : When any array is passed through a function,always the address of starting element is passed.

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25. If the operation, “ ^ ” is defined by the equation 𝑥𝑦 = 2𝑥 + 𝑦 , what is the value of ain 2𝑎 = 𝑎3

Answer: 1

Explanation :

2𝑎 = 2 × 2 + a - - - (i)

𝑎3 = 2 × a + 3 - - - (ii)

4 + a = 2a + 3

=> a = 1.

26. In a certain school, 20% of the students are below 8 yrs of age. The number of students above 8 yrs of age is (2/3) of the number of students of 8 years age which is 96. What is the total number of students in the school?

Answer: 200

Explanation :

Let total students be x.

=> 0.2x + 2323 × 96 + 96 = x

=> x = 200.

27. If there are 5,000 voters out of which 20% are not eligible to vote and there are two candidates contesting. The winning candidate won by 15% of votes. What is the total number of votes he got ?

Answer: 2300

Explanation :

Number of voters eligible for voting = 5000 × 0.8 = 4000

Number of votes extra got by the winning candidate = 4000 × 0.15 = 600

Let the number of votes won by winning candidate = x.

=> x - (4000 - x) = 600

=> x = 2300

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28. Find the set of all points (x, y) such that the area of the triangle with vertices (0, 0), (6, 4) and (x, y) is 4?

Answer: (x, y) satisfies 6y - 4x = 8

Explanation :

Area of a triangle if one of the point is (0, 0) = 12|(x1y2-x2y1)|12|(x1y2-x2y1)|

=> 12|(6 × y - 4 × x)|12|(6 × y-4 × x)| = 4 = 4

=>6y - 4x = 8

29. When not moving on the sidewalk, Maya can walk the length of the sidewalk in 7 minutes. If she stands on the sidewalk as it moves, she can travel the length in 4 minutes. If Maya walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed, and express your answer as a decimal to the nearest tenth.

Answer: 2.5

Explanation :

Assume distance of sidewalk “x”

Speed 1 (moving on sidewalk)

Speed 2 (moving off sidewalk)

Since both the movements are in same direction, we can do speed 1 + speed 2

Speed 1 = x4x4

Speed 2 = x7x7

Speed 1 + speed 2 = 11x2811x28 = = 0.39286x

Now new time while moving on sidewalk = x0.39286xx0.39286x = 2.54544

Hence, the answer is 2.5

30. The ages of Old and Young total 48. Old is twice as old as Young was when Old was half as old as Young will be when Young is three times as Old was when Old was three times as old as Young. How old is Old?

Answer: Old-30, Young-18

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Explanation :

From the options itself,we can see that option c

old = 30

young = 18

30 + 18 = 48

By reducing this years only by one

Before 6years

old = 24 (half of young)

young = 12 (twice of old)

31. If the sum of n terms of two series of A.P are in the ratio 5n+4:9n+6 .find the ratio of their 13th terms

Answer: 129/231

32. If the letters of the word “rachit” are arranged in all possible ways and these words are written out as in a dictionary, what is the rank of the word “rachit”.

Answer: 481

33. Ravi’s salary was reduced by 25%.Percentage increase to be effected to bring the salary to the original level is

Answer: 33 1/3%

34. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job

Answer: 48

35. How long will a train 100m long travelling at 72kmph take to overtake another train 200m long travelling at 54kmph

Answer: 1min

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36. ? : BGLQ : : YDIN : VAFK

Answer: EJOT

37. NLO : RPS : : ? : ZXA

Answer: VTW

38. Virtual memory size depends on

Answer: address lines

39. In 8085 microprocessor READY signal does. which of the following is incorrect statements

Answer: It sequences the instructions

40. In a processor these are 120 instructions. Bits needed to impliment this instructions

Answer: 7

41. A 12 address lines maps to the memory of

Answer: 0.5k bytes

42. Return addresses will be returned by function to

Answer: Pushes to the stack by call

43. If Jasmine started with 81 dollars, and then saved 3 dollars every day for 5 days, how many dollars did she end up with?

Answer: 96 dollars

44. Albert started with 54 marbles and added 4 more every week until he had 74 altogether. How many weeks did that take?

Answer: 3 weeks

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45. Place 39, 73, 18, 9, 56, 38, 25, 77, 13, 71 in ascending order.

Answer: 9, 13, 18, 25, 38, 39, 56, 71, 73, 77

46. Which numbers are in order from smallest to largest?

Answer: 45, 48, 54, 68, 84, 86

47. Shona has 9 fewer unread texts than Sarah. Sarah has 16 unread texts. How many unread texts does Shona have?

Answer: 7

48. n=7623 { temp=n/10; result=temp*10+ result; n=n/10 }

Answer: 3267

49. In a compiler there is 36 bit for a word and to store a character 8bits are needed. IN this to store a character two words are appended .Then for storing a K characters string, How many words are needed.

Answer: 2k/9

50. C program code int zap(int n) { if(n<=1)then zap=1; else zap=zap(n-3)+zap(n-1); } then the call zap(6) gives the values of zap

Answer: 9

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