 Aptitude Tests 4 Me

Basic Numeracy/Quantitative Aptitude

Detailed Solution

63. a: Choice I is correct because f(x) = 6 when x=3
Choice II is incorrect because to make f(x) = 0, x˛ would have to be 3. But 3 is not the square of an integer. Choice III is incorrect because to make f(x) = 0, x˛ would have to be –3 but squares cannot be negative. (The minimum value for x2 is zero; hence, the minimum value for f(x) = -3)

64. c: 1 < 4n + 7 < 200 n can be 0, or -1 n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1. The largest value for n will be an integer < (200 - 7) /4 193/4 = 48.25, hence 48 The number of integers between -1 and 48 inclusive is 50

65. b: Total volume of water = 12 liters = 12 x 1000 cm3 The base of the aquarium is 50 x 30 = 1500cm3 Base of tank x height of water = volume of water 1500 x height = 12000; height = 12000 / 1500 = 8

66. a: Let Ben’s age now be B Anita’s age now is A. (A - 6) = P(B - 6) But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B

67. c: The correct answer is 1/12.
You can throw thirty-six possible combinations with two dice (6x6). Three of those give a sum of at least 11: 5+6; 6+5 and 6+6. The probability of throwing at least 11 is 3/36, or 1/12.

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