NMAT 2008-Quant

NMAT 2008 Quant Section (39 Qs)

41. A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. Z spends Rs. 38 on these fruits. The number of pieapples purchased is

(A) 2 (B) 3 (C) 4 (D) Can’t say

42. The area of the shaded portion of the figure given below is

43. For a college debating team, 5 gents and 3 lady students were available. It is desired to select 2 gents and 2 ladies to form the team. In how many ways, the team can be selected?

(A) 30 (B) 60 (C) 15 (D) 12

44. In the figure given below, what is the ratio of a to b?

(A) 2/1 (B) 4/1 (C) 1/4 (D) None of the above

45. Three friends had dinner at a restaurant. When the bill was received, Roopa paid 2/3 as much as Shilpa paid and Silpa paid ½ as much as Deepa paid. What fraction of the bill did Shilpa pay?

(A) 15/24 (B) 12/31 (C) 3/11 (D) 1/3

46. A rectangle has width a and length b. If the width is decreased by 20% and the length is increased by 10%, what is the new area of the rectangle?

(A) 0.9 ab (B) 0.92 ab (C) 1.1 ab (D) None of the above

47. Shyam was to appear in four papers - English, Tamil, History and Science – each carrying a maximum of 100 marks. His father offered him a Shakespeare book as a present if he got 60% or more in both English and History, provided he got and aggregate of at least 200. He also offered him a Bharathi book as a present if he got 60% or more in both Tamil and History provided he got an aggregate of at least 200 (Shyam was eligible for both the presents). As it turned out, Shyam got the Shakespeare book but not the Bharathi book. If he scored 64 in both English and History, the minimum that he got in Science was.

(A) 36 (B) 56 (C) 22 (D) 13

48. Solve the system of equations
a + b = 2.5 (a- b);
ab = 21 given that b > a.

(A) (– 7, – 3) (B) (3, 7) (C) (– 7, 3) (D) (– 3, – 7)

49. Two boys A and B start as office attenders in two different establishments. A starts on a salary of Rs. 450 with an annual increment of Rs. 25, and B on a starting of Rs. 60 with an annual increment of Rs. 20. After how many years will A begin to draw a salary more than what B will draw?

(A) 30 (B) 31 (C) 32 (D) 29

50. 47 pens costs Rs. 1_8._7. Then what does each pen cost, where numbers at “_” are not visible or are written in illegible hand?

(A) Rs.3.23 (B) Rs. 2.44 (C) Rs. 2.31 (D) Rs. 3.21

51. A alone can finish a work in 15 days and B alone can do it in 25 days. If they work together and finish it, then out of a total wages of Rs.64, A will get:

(A) Rs.34 (B) Rs.30 (C) Rs.24 (D) Rs.40

52. The sale recorded by a dealer in a week from Monday to Saturday are as follows:
Rs. 210000 per day for the first three days
Rs. 81000 on Thursday
Rs. 45000on Friday
Rs. 156000 on Saturday
Find his average sales per day during that week.

(A) 152000 (B) 125000 (C) 135000 (D) 132000

53. A trader giving a discount of 11.11% on his product. At how many percent above the cost price does he mark his goods so that he makes a gain of 14.28%. ?

(A) 28.56% (B) 35% (C) 22.22% (D) None of these

54. Two men, Mohit and Neerej started walking towards each other, simultaneously from places P and Q respectively, which are 72 miles apart. They met after 6 hours. After their meeting, Mohit reduced his speed by 1 mile/h and Neerej increased by 1 mile/h. They arrived at Q and P respectively at the same time. Find their initial speeds :

(A) 6 ½ miles/h and 7½ miles/h
(B) 6 miles/h and 7 miles/h
(C) 6.5 miles/h and 5.5 miles/h
(D) 15 ½ miles/h and 9 miles/h

55. The weight of an empty bucket is 25% of the weight of the bucket when filled with some liquid. Some of the liquid has been removed. Then, the bucket, along with the remaining liquid, weighed three-fifth of the original weight.What fractional part of the liquid has been removed?

(A) 2/5 (B) 8/15 (C) 7/13 (D) 5/8

56. If the square of a two digit number is reduced by the square of the number formed by reversing the digits of the number, the final result is.

(A) divisible by 11 (B) divisible by 9 (C) necessarily irrational (D) (A) & (B) both

57. Mrs. Kapoor goes to the market and after hassling with the fruit vendor is able to get the price of a dozen bananas reduced by Rs.1, from the initial price. Thus she gets 1 bananas extra for every rupee saved. The initial and final prices of a dozen bananas are (in Rs.) :

(A) 9, 8 (B) 12, 11 (C) 14, 13 (D) 24, 23

58. A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?

(A) 175 days (B) 100 days (C) 90 days (D) None of these

59. A company makes toy cars at a production cost of Rs 17.50 per unit. A market survey reveals that 10% of the product will be lost, 5% will be rejected, 5% will decay and 5% will be stolen. At what unit price must the company sell it to realize 28% profit ?

(A) Rs. 29.86 (B) Rs. 28 (C) Rs. 31.70 (D) Rs. 20.5

60. Divya made a profit of 25% when selling a salwar Kameez at Rs. 6000. If she has to now pay Rs. 600 more for the same dress, what should be her new selling price in order to make the same percentage profit?

(A) 8250 (B) 7500 (C) 6750 (D) 6600

61. With an average speed of 50 km/hr a train reaches its destination in time. If it goes with an average speed of 40 km/hr, it is late by 24 minutes. The total journey is

(A) 40 km (B) 70 km (C) 30 km (D) 80 km

62. An employer reduces the number of his employees in the ratio 12 : 7 and increases their wages in the ratio 14 : 15.State whether his bill of total wages increases or decreases and in what ratio

(A) 5 : 8 (B) 8 : 5 (C) 10 : 11 (D) 9 : 8

63. A train which travels at the uniform rate of 20 m per second leaves Madras for Arconum at 6:30 a. m. At what distance from Madras will it meet a train which leaves Arconum for Madras at 7:15 a. m., and travels one-fourth faster than the former does, the distance from Madras to Arconum being 162 km?

(A) 72 km. (B) 90 km. (C) 102 km. (D) None of these

64. The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?

(A) 5 yrs (B) 6 yrs (C) 8yrs (D) 9 yrs

65. If the harmonic mean of two numbers is to their Geometric mean as 24 to 25. Find the ratio of numbers.

(A) 2/3, 3/2 (B) 4/3, 3/4 (C) 4/9, 9/4 (D) 16/9, 9/16

66. A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways in which this can be done is

(A) 216 (B) 240 (C) 600 (D) 3125

67. The entrance fee for the movie “LAJJA” in the ORIENT cinema is Rs. 50. When the price of the ticket was lowered, the number of visitors increased by 60% and the box office collection recorded an increase of 36%. Find the reduction in the ticket price.

(A) Rs. 12.50 (B) Re. 5 (C) Re. 7.50 (D) Re. 6

68. 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?

(A) 20 (B) 18 (C) 25 (D) 30

69. A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is:

(A) 24 m (B) 40 m (C) 28 m (D) 14 m

70. The value of   


(A) 2 (B) 3 (C) 2.327 (D) 2.273

Directions for questions 71 – 79:
The problems below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions. The correct answer is

A. If Statement I alone is sufficient but Statement II alone is not sufficient.
B. If Statement II alone is sufficient but Statement I atone is not sufficient.
C. If both statements I and II together are sufficient but neither of statements alone is sufficient.
D If Statement I and II together are not sufficient.

71. f 'x' is an integer, is x/2 an even integer?

I. x is multiple of 2
II. x is multiple of 4

72. s pq a prime number?

I. p is a prime number
II. q is a fraction

73. Is PQ > RP?

I. x = y
II. y = z

74. a, b, c are in geometric progression. Is the common ratio negative?

I. b is less than a
II. abc is greater than ac

75. If 5 is added to the numerator and denominator each of the fraction a/b, will the new fraction be less than the original one?

I. a =101, b = 161
II. a > b, a and b are real numbers.

76. What is the area of right angled triangle ABC?

I. The hypotenuse BC = 8
II. AC = 4

77. When a body falls from rest its distance from the starting point varies as the square of the time it has fallen. How far does it fall in 10th second?

I. it falls through 122.6 m in 5 seconds.
II. it falls through 490.4 m.

78. How many revolutions does a cycle wheel make in traveling one km?

I. It is pedalled at the speed of 3 kms an hour
II. The height of the topmost point of the wheel from the ground is 1.3 meters.

79. Is b negative?

I. ab3 is negative
II. a3b is negative

41. (C) 42. (D) 43. (A) 44. (D) 45. (C) 46. (D) 47. (D) 48. (A)
49. (C) 50. (C) 51. (D) 52. (A) 53. (A) 54. (C) 55. (B) 56. (D)
57. (B) 58. (A) 59. (A) 60. (C) 61. (D) 62. (B) 63. (C) 64. (C)
65. (D) 66. (A) 67. (C) 68. (D) 69. (D) 70. (A) 71. (B) 72. (D)
73. (A) 74. (D) 75. (A) 76. (C) 77. (A) 78. (B) 79. (D)