Cat 2009 Quant Test 39

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Quant Test 39

1. In the figure below ABCD is an isosceles trapezium such that AD = BC. P is a point on the side AD such that PR || AB and AP:PD = DC:AB = 2:1. What is the value of  (PR)/(AB+ DC) ?

j 4/7 k l m n j 2/3 k l m n j 3/5 k l m n j 6 / 11 k l m n j 5/9 k l m n i Skip this question j k l m n

2. The length, breadth and height of a cuboid are given by unique linear functions L(x), B(x) and H(x) respectively (Here, ‘x’ is a real number). The volume of this cuboid is given by the cubic function V(x) = – x3 – 4x2 + 31x + 70. Which of the following values of ‘x’ is permissible?

j 7 k l m n j –3 k l m n j –8 k l m n j 6 k l m n j 4 k l m n i Skip this question j k l m n

3. Find the number of positive integral solutions of the equation (xy)z = 64.

j 14 k l m n j 15 k l m n j 16 k l m n j 17 k l m n j 18 k l m n i Skip this question j k l m n Directions for Questions from 4 to 7: Each Mark Mark Mark Mark Mark

question is followed by two statements, A and B. Answer each question using the following instructions: (1) if the question can be answered by using the statement A alone but not by using the statement B alone. (2) if the question can be answered by using the statement B alone but not by using the statement A alone. (3) if the question can be answered by using either of the statements alone. (4) if the question can be answered by using both the statements together but not by either of the statements alone. (5) if the question cannot be answered on the basis of the two statements.

4. If p, q and r are positive integers, then is (p2 + q2 r) an odd number? A: p – 4r = 1 – 2q. B: 3q + 2r = p2 – 9.

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

5.

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5.

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n

 

 

j 5 k l m n i Skip this question j k l m n

6. In a survey conducted on the usage of mobile phones namely Nokia, Samsung and Motorola, it was found that 50 people use Motorola and 34 people use both Nokia and Motorola. How many people are there who use both Nokia and Samsung but do not use Motorola? A: The number of people who use both Nokia and Samsung but do not use Motorola is twice the number of people using both Samsung and Motorola. The number of people using all the three mentioned mobile phones is 10 less than the number of people who use only Motorola. B: Out of the number of people surveyed, the number of people using all the three mentioned mobile phones is 3.

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

7.

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

8. Two cars A and B, 1 km apart, are travelling in the same direction with speeds of 58 km/hr and 40 km/hr respectively. What will be the distance (in m) between them 15 seconds before A collides with B?

j 25 m k l m n j 5m k l m n j 75 m k l m n j 80 m k l m n j 60 m k l m n i Skip this question j k l m n

9.  A combo pack having a bulb and a tubelight costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tubelight escalates by 50%, the  pack would cost Rs. 50. Find the price of a tubelight?  

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9.  A combo pack having a bulb and a tubelight costs Rs. 52. If the cost of the bulb drops by 20% and the cost of the tubelight escalates by 50%, the  pack would cost Rs. 50. Find the price of a tubelight?  

j Rs. 8 k l m n j Rs. 9 k l m n j Rs. 10 k l m n j Rs. 12 k l m n j Rs. 15 k l m n i Skip this question j k l m n

10.  A dice is rolled three times. Find the probability of getting a larger number than previous number each time.

j 5/54 k l m n j 7/54 k l m n j 11/54 k l m n j 13/54 k l m n j 17/54 k l m n i Skip this question j k l m n

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