Quantitative Aptitude

1. A bag contains 7 blue balls and 5 yellow balls. If two balls are selected at random, what is the probability that non is yellow?                                                                      (3)

1. (1) 5/33
2. (2) 5/22
3. (3) 7/22
4. (4) 7/33
5. (5) 7/66

2. A right cylindrical vessel is full with water. How many right cones having the same diameter and height as that of the right cylinder will be needed to store that water? (take π = 22/7)                                              (3)

1. (1) 4
2. (2) 2
3. (3) 3
4. (4) 5
5. (5) None of these

3. If the simple interest on a certain sum of money for 15 months at 7 1/2% p.a. exceeds the simple interest on the same sum for 8 months at 12 1/2% p.a. by Rs 32.50. The sum is                                         (3)

1. (1) Rs. 312
2. (2) Rs. 312.50
3. (3) Rs. 3120
4. (4) Rs. 3120. 50
5. (5) None of these

4. A and B entered into a partnership, investing Rs. 16000 and Rs. 12000 respectively. After 3 months, ‘A’ withdrawRs. 5000, while B invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21,000. After an year, they obtained a profit of Rs. 26400. What is B’s share in the profit?           (4)

1. (1) Rs.10050
2. (2) Rs.11600
3. (3) Rs.10500
4. (4) Rs.10800
5. (5) None of these

5. There are 6 filling pipes each capable of filling a cistern alone in 16 minutes and 4 emptying pipes each capable of emptying a cistern alone in 20 minutes. All pipes are opened together and as a result, tank fills 28 litres of water per minute. Find the capacity of the tank.                                                                  (2)

1. (1) 145 l
2. (2) 160 l
3. (3) 240 l
4. (4) 180 l
5. (5) None of these