Chapterwise Quantitative Aptitude Quiz 2017 - Time and Distance | SBI PO Prelims 2017

1. In a zoo, there was a cheetah and a tiger walking in 2 different rings of same radii. Ramu observed that when cheetah moved 3 steps, tiger moved 5 steps in the same time, but the distance traversed by cheetah in 5 steps equals to the distance traversed by tiger in 4 steps. What is the number of rounds that a cheetah made when tiger completed 100 rounds?

1) 120

2) 48

3) 75

4) 65

5) None

2. Devnath express left Ajmer for Goa. 2 hours later Gopalpur express left from Ajmer to Goa. Both trains reached Goa simultaneously. If Devnath express had started from Ajmer and Gopalpur express had started from Goa at the same time and travelled towards each other they would meet in 1 h 20 min. find the time taken by Devnath express to travel from Ajmer to Goa in hours?

1) 5

2) 2

3) 4

4) 6

5) 8

3. Ramlal, a hunter fired 2 shots from a tree top at an interval of 76 seconds. A cheetah in motion in a very fast speed hears the 2 shots at an interval of 83 seconds. If the velocity of the sound is 1327 kmph, find the speed of the cheetah?

1) 112.8 kmph

2) 111.91 kmph

3) 80.16 kmph

4) 78 kmph

5) None

4. Roy and john start from Goa and Pune respectively with uniform velocities. Roy is headed to Pune and john to Goa and both cities are 600 km distant. Roy rests while john is on the move and john rests while roy is on the move. Roy’s speed  is 25 kmph and joghn’s speed is 30kmph. If roy starts first and reaches Pune in 36 hours, then find the least time taken by john to reach Goa after Roy starts the journey?

1) 20hrs

2) 54hrs

3) 36hrs

4) 44hrs

5) 40hrs

5. Number of units of a good that can be produced by a factory is directly proportional to the square of the number of workers, square root of the number of machines and to the number of hours put in. The factory produces 200 goods when 4 people work for 8 hours each with 4 machines. When 3 people work for 12 hours each with 9 machines, how many goods will be produced?.

1) 24/31

2) 25/32

3) 51/68

4) 34/78

5) None

6. A fill pipe can fill a tank in 20 hours, an outlet can drain a tank in 30 hours. If a system of n pipes including inlet and outlet pipes can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?

(1)    32       (2)    54       (3)    29       (4)    40

1) 1 and 2 only

2) 1 and 3 only

3) 2 and 4 only

4) 2 and 3 only

5) None

7. Two boys begin together to write out note containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?

1) 356

2) 277

3) 357

4) 267

5) None