(Paper) Latest Bank Exams Numerical Ability Paper (2009)

1. Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank

Answer is: 17 1/7 mins

2. If 2x-y=4 then 6x-3y=?

Answer is: 12

3. Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job?

Answer is: 7 1/2 hrs

4. If x=y=2z and xyz=256 then what is the value of x?

Answer is: 8

5. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

Answer is: AE = 10.

6. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?

Answer is: BC = 4 cm

7. Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

Answer is: 64/2210

8. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?

Answer is: 991

9. A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze?

Answer is: 38.5 sq.m

10. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current?

Answer is: 7/12 kmph

11. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

Answer is: 46 steps

12. Find the smallest number in a GP whose sum is 38 and product 1728

Answer is: 8

13. A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?

Answer is: 18 hours

14. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

Answer is: 40 years

15. Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.?

Answers is:  45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins