The Question Bank on Quantitative Ability prepared for CMAT will help you test your knowledge on the subject matter thoroughly.

**Quantitative Ability **

**Directions for questions (1 to 18) : Answer the question independently of each other ****1. In the X- Y plane, the area of the region bounded by the graph |x + y| + |x - y| = 4 is **

(a) 8

(b) 12

(c) 16

(d) 20

(a) 5

(b) 3

(c) 2

(d) 6

(a) 2r(1 + √3)

(b) 2r(2 + √3)

(c) r(1 + √5)

(d) 2r + √3

1. 1000 < n < 1200

2. every digit of n is odd

(a) 9

(b) 10

(c) 11

(d) 12

(a) 3

(b) (√13 - 1/2)

(c) (√13 + 1/2)

(d) √13

(a) 15

(b) 14

(c) 12

(d) 10

(a) 5

(b) 10

(c) 9

(d) 15

(a) 10

(b) 12

(c) 14

(d) 16

(a) 10

(b) 0

(c) 7

(d) 1

(a) 780

(b) 800

(c) 820

(d) 741

(a) 100 < A < 299

(b) 106 < A < 305

(c) 112 < A < 311

(d) 118 < A < 317

(a) 3

(b) 3

(c) 3

(d) 3

(a) 228

(b) 216

(c) 294

(d) 192

(a) 1

(b) 3

(c) 7

(d) 9

(a) 3√2

(b) 1 + π

(c) 4π / 3

(d) 5

(a) -1

(b) -0.5

(c) 0

(d) 1

(a) 81

(b) 16

(c) 18

(d) 9

(a) 4

(b) 5

(c) 6

(d) 7

(a) 10 a.m.

(b) 10 : 10a.m.

(c) 10 : 20 a.m.

(d) l0 : 30a.m.

(a) 10 : 20a.m.

(b) 10 : 30 a.m.

(c) 10 : 40a.m.

(d) 10 : 50a.m.

(a) June 30

(b) May 21

(c) April 11

(d) May 20

(e) April 10

(a) -105

(b) -119

(c) -159

(d) -110

(e) -180

(a) Between 0 and 45

(b) Between 0 and 90

(c) Between 0 and 30

(d) Between 0 and 60

(e) Between 0 and 75

(a) 1/2 (n

(b) n - 3

(c) 1/2 (n

(d) 2n - 7

(e) 1/2 (n

(a) 1/2 (n

(b) 1/2 (n

(c) 2n - 6

(d) 1/2n (n - 3)

(e) n - 2

Option A: Invest in a public sector bank. It promises a return of +0.10%.

Option B: Invest in mutual funds of ABC Ltd. A rise in the stock market will result in a return of +5%, while a fall will entail a return of -3%,

Option C: Invest in mutual funds of CBALtd. Arise in the stock market will result in a return of-2.5%, while a fall will entail a return of +2%.

26. The maximum guaranteed return to Shabnam is

(a) 0.30%

(b) 0.25%

(c) 0.10%

(d) 0.20%

(e) 0.15%

(a) 30% in option A, 32% in option B and 38% in option C

(b) 100% in option A

(c) 36% in option B and 64% in option C

(d) 64% in option B and 36% in option C

(e) 1/3 in each of the three options

Departure |
Arrival |
||
---|---|---|---|

City |
Time |
City |
Time |

B | 8:00 AM | A | 3:00 PM |

A | 4:00 PM | B | 8:00 PM |

**Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at 50 km per hour. **

(a) 1 hour

(b) 1 hour and 30 minutes

(c) 2 hours

(d) 2 hours and 30 minutes

(e) Cannot be determined

(a) 500

(b) 700

(c) 550

(d) 600

(e) Cannot be determined.

(a) 1

(b) 3

(c) 2

(d) 4

(e) 0

(a) (n-1) (k-1)

(b) n (k-1)

(c) k (n-1)

(d) n (k-2)

(e) k (n-2)

**Directions for questions (32 & 33) : Answer these questions on the basis of the information given below. **

32. Which of the following best describes an + bn for even n?

(a) q(pq)

(b) q(pq)

(c) qp

(d) q

(e) q

(a) 15

(b) 7

(c) 13

(d) 11

(e) 9

(a) if the question can be answered using A alone but not using B alone.

(b) if the question can be answered using B alone but not using A alone.

(c) if the question can be answered using A and B together, but not using either A or B alone.

(d) if the question cannot be answered even using A and B together.

A: W

B: Moving Deepak from Section II to I (without any move from I to II) makes the average weights of the two sections equal.

35. Consider integers x, y and z. What is the minimum possible value of x

A: x + y + z = 89

B: Among x, y, z two are equal.

A: The length of OM is twice that of OL.,

B: The length of OM is 4 cm,

A: The inner diameter of the tank is at least 8 meters.

B: The tank weights 30,000 kg when empty, and is made of a material with density of 3gm/cc.

(a) 19

(b) 17

(c) 16

(d) 18

(e) 15

(a) 3

(b) 6

(c) 4

(d) 7

(e) 5

(a) Over Rupees 4 but less than Rupees 5

(b) Over Rupees 13 but less than Rupees 14

(c) Over Rupees 7 but less than Rupees 8

(d) Over Rupees 22 but less than Rupees 23

(e) Over Rupees 18 but less than Rupees 19

(a) 2008

(b) 0

(c) I

(d) 1/2n

(e) n + 1/2n

(a) 24 years

(b) 23 years

(c) 22 years

(d) 21 years

(e) 25 years

(a) 120

(b) 80

(c) 240

(d) 200

(e) 100

(a) 2mn/x

(b) 2mn/x

(c) 2mn/x

(d) 2mn/x

(a) 38

(b) 56

(c) 54

(d) None of the above

(a) √q/p + √p/q + √l/n = 0

(b) √p/q + √q/p + √n/l = 0

(c) √q/p + √p/q + √l/n = 0

(d) √p/q + √q/p + √n/l =0

(a) 6 years

(b) 7 years

(c) 8 years

(d) 9 years .

(a) 25000

(b) 33000

(c) 35000

(d) 40000

(a) 64cm.

(b) 120cm.

(c) 128 em.

(d) 132cm.

**50. If f (x + y/8, x - y/8) = xy, then f (m, n) + f (n, m) = 0 **

(a) only when m = n

(b) only when m ≠ n

(c) only when m = - n

(d) for all m and n

(a) Rs. 15600

(b) Rs. 16500

(c) Rs. 17280

(d) None of these

(a) 6:40pm

(b) 7:00pm

(c) 7:20pm

(d) 8:00pm

(a) 5.5km/h

(b) 6.5km/h

(c) 7.5km/h

(d) 8.5km/h

(a) 20mins

(b) 15mins

(c) 10mins

(d) 5mins

(a) 8 seconds

(b) 1 minute

(c) 52 seconds

(d) Data inadequate

(a) 25m

(b) 12.5m

(c) 16.5m

(d) 20.5m

(a) p

(b) p

(c) p(4p - 3)

(d) p

(a) Rs 7, Rs 4

(b) Rs 6, Rs 5

(c) Rs 4, Rs 7

(d) Rs 5, Rs 6

(a) rs = t

(b) r + t = 2t - s

(c) r + s = t - 2

(d) r + t = 2s

(a) 5

(b) 7

(c) 9

(d) 11

I adjacent angles are complementary

II adjacent angles are supplementary

III opposite angles are equal

IV opposite angles are supplementary

Of these statements:

(a) (I) and (III) are correct

(b) (II) and (III) are correct

(c) (I) and (IV) are correct

(d) (II) and (IV) are correct

(a) 8 metres

(b) 8.25 metres

(c) 5 metres

(d) None these

(a) b = a/5

(b) b = a/4

(c) b = 2a/3

(d) b = a/2

(a) 4

(b) 2

(c) 3

(d) None of these

I If a

II If P = a

III If x

Of these statements:

(a) I and II are correct

(b) II and III are correct

(c) Only I is correct

(d) All I , II and III are correct

(a) |a + b| < |a| + |b|

(b) |a - b| < |a| + |b|

(c) |a - b| < |a| - |b|

(d) |a - c| < |a - b| + |b - c|

2 + 5x + 9x

(a) 2 - x/(1 - x)

(b) 2 - x/(1 + x)

(c) 2 + x/(1 - x)

(d) 2 + x/(1 + x)

**68. ABCD is a rectangle. The points p and Q lie on AD and AB respectively. If the triangles PAQ, QBC and PCD all have the same areas and BQ = 2, then AQ =**

(a) 1 + √5

(b) 1 - √5

(c) √7

(d) 2√7

**69. For which value of k does the following pair of equations yield a unique solution for x such that the solution is positive?** x

(x - k)

(a) 2

(b) 0

(c) √2

(d) -√2

**70. In an examination, the average marks obtained by students who passed was x %, while the average of those who failed was y %. The average marks of all students taking the exam was z %. Find in terms of x, y and z, the percentage of students taking the exam who failed. **

(a) (z - x) / (y - x)

(b) (x - z) / (y - z)

(c) (y - x) / (z - y)

(d) (y - z) / (x - z)

Answers |
|||
---|---|---|---|

1. |
(c) | 36. |
(b) |

2. |
(d) | 37. |
(b) |

3. |
(a) | 38. |
(d) |

4. |
(a) |
39. |
(a) |

5. |
(c) | 40. |
(e) |

6. |
(d) | 41. |
(c) |

7. |
(c) | 42. |
(a) |

8. |
(b) | 43. |
(b) |

9. |
(d) | 44. |
(a) |

10. |
(a) | 45. |
(c) |

11. |
(b) | 46. |
(b) |

12. |
(c) | 47. |
(d) |

13. |
(b) | 48. |
(a) |

14. |
(a) | 49. |
(c) |

15. |
(b) | 50. |
(d) |

16. |
(d) | 51. |
(a) |

17. |
(d) | 52. |
(d) |

18. |
(c) | 53. |
(a) |

19. |
(b) | 54. |
(c) |

20. |
(b) | 55. |
(c) |

21. |
(d) | 56. |
(b) |

22. |
(c) | 57 |
(a) |

23. |
(d) | 58. |
(b) |

24. |
(e) | 59. |
(d) |

25. |
(e) | 60. |
(c) |

26. |
(d) | 61. |
(b) |

27. |
(c) | 62. |
(c) |

28. |
(a) | 63. |
(c) |

29. |
(c) | 64. |
(a) |

30. |
(a) | 65. |
(d) |

31. |
(b) | 66. |
(c) |

32. |
(b) | 67. |
(a) |

33. |
(e) | 68. |
(a) |

34. |
(c) | 69. |
(c) |

35. |
(a) | 70. |
(a) |

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