Company : Accenture

Website : http://www.accenture.com/

Website : http://www.accenture.com/

1. A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest possible strength of the class?

a.835

b.940

c.1105

d.1220

Answer: C

Explanation:

For smallest possible class strength, we consider LCM of the given numbers. So LCM (5, 13, 17) = 1105.

2. If QUESTION = DOMESTIC what will b code for RESPONSE ?

1. OMESUCEM

2. OMESICSM

3. OMESICEM

4. OMESISCM

Answer : 3

Explanation:

Q U E S T I O N

D O M E S T I C

We can see in the word 'RESPONSE' only R and P are the letters whose code is not given, by having a look on options we can say code for R is O and code for P is S (because common in all options).

Now we can easily code the word 'RESPONSE'as 'OMESICEM'.

3. A box contains 90 bolts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5 kg., then the weight of the empty box is :

A. 10 kg

B. 10.5 kg

C. 11 kg

D. 11.5 kg

E. None of the above

Answer: B

Explanation:

Let the weight of Empty box be x

90 Ã— 0.100 + 100 Ã— 0.150 + x = 35.5

Then x = 10.5 kg.

4. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?

Answer: 40

Explanation:

Let the average of all 10 members 4 years ago was x. After 4 years, 10 members age increases by 10 Ã— 4 = 40. But there is no change in the average as a person is replaced by an younger one. Which means, the younger one age is 40 years less than the old one.

5. If the radius of a circle is increased by 20% then the area is increased by:

a) 44%

b) 120%

c) 144%

d) 40%

e) None of the above

Answer: a

Explanation:

Let say radius = Ï€r2Ï€r2 = Ï€102Ï€102 = 100Ï€100Ï€

New radius = 10 Ã— 120% = 12

New area = Ï€122Ï€122 = 144Ï€144Ï€

Increment = 144Ï€âˆ’100Ï€100Ï€Ã—100144Ï€âˆ’100Ï€100Ï€Ã—100 = 44%.

6. When Raja was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raja's brother is 6 years older than Raja and his mother is 3 years younger than his father, how old was Raja's sister when Raja was born?

Answer: 10 year

Explanation:

Raja's brother 6 year old when Raja was born.

His father's age = 32 + 6 = 38 year

His mother's age = 35 year

His sister age =35 “ 25 = 10 years.

7. A man purchased a watch for Rs.400 and sold it at a gain of 20% of the selling price. The selling price of the watch is:

Answer:

Explanation:

Cost price = 400

Gain% = 20%

Gain = 400 Ã— 2010020100 = 80

Cost price = 400 + 80 = 480 .

8. .If

1111 = r

2222 = t

3333 = e

4444 = n

5555 = ?

Answer:

Explanation:

1 + 1 + 1 + 1 = 4

Four last letter is r

Similarly

5 + 5 + 5 + 5 = 20 i.e twenty so ans is Y.

9. A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?

a) 9%

b) 10%

c) 11%

d) 13%

e) 15%

Answer:b

Explanation:

Let the cost of shower head is x. Then the cost of the toilet = 3x.

Total cost of 60 toilets and 20 shower heads = 60 Ã— 3x + 20 Ã— x = 200x

So shower heads cost as a percentage of total cost = 20x20x20x20x Ã— 100 = 10%.

10. Find the smallest number which leaves 22,35, 48 and 61 as remainders when divided by 26, 39, 52 and 65 respectively.

Answer: 776

Explanation:

LCM of (26,39,52,65) = 780

Required number= 780 “ 4 = 776.

11. If a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?

Answer: 31 minutes

Explanation:

Old model is capable of printing at a rate of 4900 per hour

New model is capable of printing at a rate of 6600 per hour

Old model time taken to print 10000 cards = 10000/4900 = 100/49

New model time taken to print 10000 cards = 10000/6600 = 100/66

Old model “ new model: 100/49 - 100/66 = 1700 /(49 Ã— 66) = 850/(49 Ã— 33) = 0.525 hrs => 31 mins

Therefore, the old model will take approximately 31 mins longer than the new model to print 10000 bills.

12. 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 5 women will do that task.

1) 5/6

2) 6/13

3) 7/9

4) 11/12

5) 11/15

6) 13/14

Answer: 6

Explanation:

3 m + 8 w = 6 m + 2 w

3 m = 6 w

1 m = 2 w

Therefore 3 m + 8 w = 14 w

4 m + 5 w =13 w

Answer is 13/14.

13. How can a cake(circular) be cut into 8 pieces by making just 3 cuts?

Explanation:

Cut the cake using three mutually perpendicular planes. It leaves 8 pieces, one each in each octant.

14. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?

Answer:

Explanation: 991

999919 = 1000000 “ 81 = 1000210002 “ 9292 = (1000 + 9)(1000 “ 9) = 1009 Ã— 991.

Since there were more mice than there were cats, 991 cats killed 1009 mice each.

15. An alloy of zinc and copper contains the metals in the ratio 5 : 3. The quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is:

A)3

B)6

C)8

D)9

Answer: C

Explanation:

In sixteen kg of alloy 10 kg of zinc and 6 kg copper is present

To make the ratio 3:1 we must add 8 kg of zinc to make it 18 kg of zinc and 6 kg copper

So answer is 8.

16. A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is

Answer: 1/50

Explanation:

The probability of selecting girl is: 25/100 = 1/4

The probability of selecting rich is: 20/100 = 1/5

The probability of selecting fair complexioned is: 40/100 = 2/5

Three are independent;probability of rich and fair complexioned girl is:

(1/4) Ã—(1/5) Ã— (2/5) = 1/50.

17. If one-third of one-fourth of a number is 15, then three-tenth of that number is:

A. 35

B. 36

C. 45

D. 54

Answer: D

Explanation:

The number is 1/3 of 1/4 is =15 then 1/3 Ã— 1/4 = 15

Number is 180 then 180 Ã— 3/10 = 54.

18. 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

Answer:A

Explanation:

C.P. of 100 orange=350

S.P. of 12 is 48 i.e, 4 of each now of 100 will be 400

So profit = 400 “ 350 = 50

profit = profitÃ—100%cpprofitÃ—100%cp i.e 100/7% gain.

19. If 3/p = 6 and 3/q = 15 then p “ q = ?

A) 1/3

B) 2/5

C) 3/10

D) 5/6

E) None of the above

Answer: C

Explanation:

3p3p = 6 , p = 3636 = 1212and

3q3q = 15 , q = 315315 = 1515 then

p “ q = 1/2 “ 1/5 = 3/10.

20. Two trains leaving from two station 50 miles away from each other with constant speed of 60 miles per hour, approaches towards each other on different tracks. if length of each train is 1/6 mile. when they meet How much time they need to pass each other totally ?

Answer: 10 seconds

Explanation:

The trains are coming towards each other so their relative speed is 60 + 60 = 120 mph

In this case the distance would be addition of lengths of trains.i.e 1/6 + 1/6 = 1/3 m

T = dsds = 1/31201/3120 = 1136011360 h.

21. There are two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?

a. 4/9

b. 1/3

c. 5/4

d. 5/9

Answer : d

Explanation:

Bag A 6 red + 3 pink

Bag B 2 red + 7 pink

Probability of picking 1 pink from bag A is 3/9

Probability of picking 1 pink from bag B is 7/9

Total = 3/9 + 7/9 = 10/9

And probability of selecting a bag is 1/2

So finally probability of choosing a pink flower = 1/2(10/9) = 5/9.

22. The sum of a number and its square is 1406. What is the number?

1) 38

2) 39

3) 37

4) 29

Answer: 3

Explanation:

By option Verification 37 + 37 Ã— 37 = 1406.

23. How many 4-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. 40

B. 400

C. 5040

D. 2520

Answer: C. 5040

Explanation:

The Word LOGARITHMS is contain 10 letters.

To find how many 4 letter word we can find from that = 10 Ã— 9 Ã— 8 Ã— 7 = 5040.

24. At 6²o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12²o clock

Answer: 66

Explanation:

For ticking 6 times, there are 5 intervals.

Each interval has time duration of 30/5 = 6 secs

At 12 o'clock, there are 11 intervals,

So total time for 11 intervals = 11 Ã— 6 = 66 secs.

25. A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village

Answer: 20 km

Explanation:

Average speed = (2 Ã—a Ã— b)/(a + b) here a = 25 b = 4

Average speed = 2 Ã— 25 Ã— 4/(25 + 4) = 200/29 kmph.

Distance covered in 5 hours 48 minutes = Speed Ã— time

Distance = (200/29) Ã— (29/5) = 40 kms

Distance covered in 5 hours 48 minutes = 40 kms

Distance of the post office from the village = (40/2) =20 km.

26. One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs. 120 and a shirt.Then find the price of the shirt.

Answer: 120

Explanation:

12 months == Rs 200 + shirt --(1)

9 months == Rs 120 + shirt --(2)

After subtracting equation (2) from (1) we get,(shirt is cancelled)

3 months = Rs 80

12 months = (80 Ã— 12)/3= 320

Hence from equation (1) we get 320 = 200 + shirt

Therefore shirt = 120 Rs/-

27. In a class there are 45 pupil, out of them 12 are in debate only and 22 in singing only. Then how many in both?

Answer: 11

Explanation:Total pupil = 45

Debate + Singing = 12 + 22 = 34

The intersection for two = 45 “ 12 “ 22 = 11 play both games.

28. Silu and Meenu were walking on the road.

Silu said, "I weigh 51 Kgs. How much do you weigh?"

Meenu replied that she wouldn't reveal her weight directly as she is overweight.

But she said, "I weigh 29 Kgs plus half of my weight."How much does Meenu weigh?

Answer: 58

Explanation:

It is given that Meenu weighs 29 Kgs plus half of her own weight.

It means that 29 Kgs is the other half. So she weighs 58 Kgs.

Solving mathematically, let's assume that her weight is A Kgs.

A = 29 + A/2

2 Ã— A = 58 + A

A = 58 Kgs.

29. What is the 56743 rd term in the series 1234567891011121314¦¦.?

a) 1

b) 3

c) 7

d) 5

Answer: C

Explanation:

1 to 9 = 9 no.s 1 digit each no.

9 to 99 = 90 no.s 2 digit each,Total digit = 90 Ã— 2 = 180 terms

99 to 999 = 900 no.s 3 digit each,total digit = 900 Ã— 3 = 2700

999 to 9999 = 9000 no.s 4 digit each,total digit = 9000 Ã— 4 = 36,000

Till Now 999,we have = 9 + 180 + 2700 = 2889 digits

Upto 9999 we have = 2889 + 36000 = 38889 digits

56743 “ 38889 = 17854

After 9999 each no. has 5 digit

So 17584/5= 3570 with remainder 4.

3570th no after 9999 =9999+3570=13569

Next term=13570.

4th digit =7 so answer=7.

30. A cycled from P to Q at 10 kmph and returned at the rate of 9 kmph. B cycled both ways at 12 kmph. In the whole journey B took 10 minutes less than A. Find the distance between P and Q.

Answer: 3.75 km

Explanation:

Let the distance between P and Q = d km

A - time = d/10 + d/9 = 19 d/90 hours

B - time = 2 d/12 = d/6 hours

10 minutes = 1/6 hours

Thus 19 d/90 “ d/6 = 1/6

(19 d “ 15 d)/90 = 1/6

4 d/90 = 1/6

thus d = 15/4 km = 3.75 km.

31. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

A. 18

B. 24

C. 42

D. 81

Answer:

Explanation:

Just go in reverse order.

Check the options with th subtracting 18 from each option for getting reverse number.

42 “ 18 = 24 (which is in reverse).

So answer is 42.