Company: Hewitt Associates

HEWITT PAPER AUG 24th 2010
Mathematical

1. The average of 2 numbers is ab. If one number is a the other is :
1] b 2] 2b 3] ab – a 4] 2ab-a

2. During one year the population of a town increased by 10 % and during the next year it diminished by 10 %. Then he population now is ______

1] Same as in the beginning 2] greater than that in the beginning
3] less than that in the beginning 4] None of the above

3. If I get Rs. 50 by investing Rs. 5000 for a year, What rate of interest do I charge ?
1] 10 % 2] 1 % 3] 5 % 4] None of these

4. The % equivalent to 3/8th is :
1] 37.5 2] .375 3] 40 4] None of these

5. In a class of 100 students, 48 students secured 40 marks in English, 32 secured 60 marks and the rest 80. Find the average in English for the whole class.
1] 60 2] 19.42 3] 62.66 4] 54.40

6. Which number should be added to 459045 to make it exactly divisible by 27?
1] 3 2] 9 3] 0 4] None of these

7. Find the value of
(v75 – v20 – v48) / (v180 + v108)
1] v5-v3 2] 1/(v5 – v3) 3] v5 – v3 4] None of these

8. Let ‘x’ be an odd number and ‘y’ an even number, which of the following is necessarily Odd ?
i) x + y ii) x – y iii) x * y
1] (i) only
2] (i) and (ii) only
3] (iii) only
4] (i) and (iii) only

9. What decimal of a rupee is 5p ?
1] 0.5 2] 0.05 3] 0.50 4] 0.005

10. If 100 ! = 100 x 99 x 98 x … x 2 x 1, the maximum power of 20 which will divide 100 ! is
1] 21 2] 22 3] 23 4] 24

11. Rs. 3000 / 150 p = ?
1] Rs. 20 2] 2000 P 3] 2000 4] None of these

12. In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :
1) n is a perfect square 2) n is an odd number
3) n is an even number 4) n is a perfect cube.

13. 1-1/2 of 2 = ?
1] 1 2] ¾ 3] ¼ 4] none of these

14. 943 – 233 – 713 is atleast divisible by:
1] 71 and 23
2] 23 and 74
3] 71 and 94
4] 23,71 and 94

15. Real numbers are
1] Terminating decimals
2] non-terminating but recurring decimals
3] non-terminating and non recurring decimals
4] All of these.

16. Find the remainder when the polynomial 3×4 – 6×3 – 4x + 1 is divided by x-3.
1] 418 2] 69 3] 70 4] None of these

17. The value x if 5x / 12-3/8 = ½ is
1] 2 1/10, 2] 3, 3] 5 2/3, 4] 6 1/6

18. If m = -19, n = 23 find the value of v25 n2 + 40 mn + 16 m2

19. I was x years old 5 years ago. How old shall I be 7 years hence ?
1] x +5 2] x + 7 3] x + 12 4] None of these

20. Simplify (x2 – 1) (x2 – 4) (x2 + x – 2) (x2 – x – 2)
1] 0 2] 1 3] x+2 4] (x+2) / (x-1)

21. If a > 0, b>0, then:
1] ½ (a+b) > 1, 2] ½ (a+b) < 2, 3] ½ (a+b) > vab 4] ½ (a+b) > 1/ab

22. Let y2 = (x+5) (x-3) (x-1), then all the real values of x for which y has non zero real values is
1] -5 < x < 1 2] x > 15
3] -5 < x < 1 or x > 3
4] None of these
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23. Hari has a piece of cake 60 cm long. He gives Raja half of it. He then gives Gopal 1/4th of what is left. After giving a piece to Sahi, be is left with 1/10th of the original. How much did he give to Sahil ?
1] 21.5 cm 2] 16.5 cm 3] Rs. 5 4] Rs. 3

24. Five apples and 3 oranges cost Rs. 13 while an orange and four apples costs Rs. 9 Find the cost of an apple and an orange.
1] Rs. 2 2] Rs. 1 3] Rs. 5 4] Rs. 3

25. A man loses 1/3rd of his money, then wins Rs. 10 loses 1/3rd of what he has and wins Rs. 20 and finds that he has exactly what be had at the beginning. What was the amount he originally bad ?
1] 25 2] 36 3] 10 4] 48

26. What number must be subtracted from each of the numbers 17, 20 and 24 so that the results are in continued proportion ?
1] 4 2] 6 3] 38 4] 10

27. A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water becomes 3:5 How many gallons does the cask hold ?
1] 32 2] 36 3] 38 4] 40

28. Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?
1] Rs. 220 2] Rs. 235 3] Rs. 240 4] Rs. 276

29. A merchant has 100 Kg of Sugar, part of which he sells at 7 % profit and the rest at 17 % profit. He gains 10 % in the whole. How much is sold at 17 % profit ?
1] Rs. 70 2]Rs. 36 3] Rs. 27 4] Rs. 67.5

30. Rs. 252 is divided among A, B and C so that for every Rs. 2 A receives, B receive Rs. 5 and for every Rs. 3 B receives C receives Rs. 7. Find A’s share.
1] Rs. 70 2] Rs. 36 3] Rs. 27 4] Rs. 67.5

31. A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for:
1] 18 days 2] 15 days 3] 17 1/2 days 4] 16 days

32. Mohan Kumar is 8Km, a head of Ram Chand. The speeds of Mohan Kumar and Ram Chand are 4 Km/hr. and 6 Km/hr. respectively. Ram Chand will overtake Mohan Kumar in:
1] 2 hours 2] 1 hour 20 min 3] 4 hours 4] 48 minutes.

33. Two trains travel in the same direction at 56 Km/hr. and 29 Km/hr. and the faster train passes a man in the slower train in 16 secs. Find the length of the faster train.
1] 432 m, 2] 80 m, 3] 150 m, 4] 120 m.

34. At what time are the bands of a clock together between 2 and 3 ?
1] 10 10/11 mins, past 2 2] 10 10/11 mins to 3
3] 9 1/11 mins. Past 2 4] 30 mins, past 2

35. Arun’s average rate for a round trip in 48 Km/hr. One way, he travels at 40 Km/hr. His speed on his return over the same route is :
1) 56 Km/hr, 2) 60 km/hr. 3) 48 Km/hr. 4) 58 Km/hr.

Logical Reasoning

DIRECTIONS for questions 36 and 37 Refer to the information below and answer the questions. That follow.

Anil, Milind, Kiran, Shehul and Rajesh are sittings around a circular table. Kiran is immediate left to Rajesh. Anil is between Shehul and Rajesh.

36. Who is immediate left of Kiran?
1) Anil 2) Milind 3) Shehul 4) Rajesh

37. Who are Milind’s immediate neighbours ?
1) Rajesh and Kiran
2) Shehul and Kiran
3) Rajesh and Shehul
4) Can’t be determined

DIRECTIONS for questions 38 and 39: Refer to the information below and answer the questions that follow:

There are six friends Sachin: Vinay, Pratik, Ravi, Akshay and Prashant, Sachin is shorter than Vinay but taller than Ravi. Pratik is the tallest. Prashant is taller than Akshay and shorter than Ravi.

38. Who is the shortest?
1] Sachin 2] Ravi 3] Prashant 4] Akshay

39. If the seventh friend Rajan was to stand in the middle in order of their heights, then he will stand between:
1] Sachin and Vinay 2] Ravi and Akshay 3] Sachin and Ravi 4] Data inadequate.

DIRECTIONS for question 40: Refer to the following data and answer the questions that follow.

40. If in a code, Altered is written as ZOGVIVW, then in the same code, RELATED would be written as:
1] IVOZGVW 2] IVOZGWZ 3] IVOGZVW 4] VIOZGVW

Verbal Ability / Reasoning

Direction for Question 41 to 42 : Find the odd one out from the group of words

41. 1) Capsule 2) Cocoon 3) Cavaller 4) Container

42. 1) Bubble 2) Racquet 3) Basket ball 4) Moon

Directions Question 43 to 44 Fill in the blanks with the word or phrase that completes the sentence in a logical manner.

43. There was a lot of weaving back and forth, yet ____, non re-writing the sentence in a logical manner.

Directions questions 44:45 Each pair of capitalized words given is followed by four pair of words. Select the pair that DOES NOT express the relationship similar to that expressed by the capitalized pair.
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1) upright : Carriage
2) handy : shake
3) heartly : appetite

45. PRODIGAL : EXTRAVAGANT
1) baleful : menacing
2) nubile : marriageable
3) prodigious : talented
4) gauche : awkward

DIRECTIONS for questions 46 to 50 choose the diagram that best illustrates the relationship between the three objects /. Subjects.

46. Leg. Hand. Face

47. Liquids Soft-drinks, Coca-Cola

48. Sisters, Mothers, Wives.

49. Women, Humans, Living beings