Cat 2009 Quanttest 93

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Quant Test 93 Directions for Questions from 1 to 4: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.

1. 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

2.

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

3. 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

4.

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 Directions for Questions from 5 to 6: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.

5. What is the remainder when P2 is divided by 12, where ‘P’ is a prime number? A: P is of the form 4k + 3, where ‘k’ is a positive integer. B: P is of the form 2k – 1, where ‘k’ is an integer greater than 1.

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. A milkman has 25 small cans, all of which are completely filled with milk. He also has one large can which is empty. Can he transfer all the milk contained in 15 of these small cans to the large can? A: The large can has a capacity of 500 liters. B: The average capacity of any 20 of the small cans is 25 liters.

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. If log36 5 = a and log30 3 = b, log83 0 =

j 3(1 – a – b) k l m n j 1/3(1- a- b) k l m n j 3/(1- a- b) k l m n j (1− a − b)/3 k l m n j None k l m n i Skip this question j k l m n

8. Four black cows and three brown cows give as much milk in five days as three black cows and five brown cows give in four days. If a black cow gives 10 L of milk per day, then how much milk would be given by a brown cow per day under the same conditions.

j 6L k l m n j 8L k l m n j 10 L k l m n j 12 L k l m n j 16 L k l m n i Skip this question j k l m n

9. I cut a piece of paper in four equal parts. Now, I cut exactly one out of these four parts into four equal parts. Now, again if I keep on repeating the same process for infinite number of times, then which of the following can be the number of parts of paper at any instant of time?

j 2048 k l m n j 2049 k l m n j 2050 k l m n j 2051 k l m n j 2052 k l m n i Skip this question j k l m n

10. Two cyclists are travelling at a speed of 3 km/hr and 10 km/hr around a circular track. What should be the ratio of number of distinct points that they would meet on that track if they travel in the same direction first and in the opposite direction next?

j 7 : 13 k l m n j 3 : 10 k l m n j 3:7 k l m n j 30 : 13 k l m n j Cannot be determined k l m n i Skip this question j k l m n

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