SBI POs Quantitative Aptitued Model Questions with Key

1. A car travels a certain distance. The speed of the car for the first half is 60 kmph and for the remaining it is 90kmph. What is the
average speed of the car?
1) 75 kmph 2) 72 kmph 3) 60 kmph 4) 80 kmph 5) None of these

2. Laxman travels a certain distance. He travels for 15 minutes at the rate of 45 kmph in a car, then travels for 15 minutes in a train
at a speed of 75 and another 15 minutes in a bus at the rate of 30kmph. Find his average speed for the whole journey.
1) 43.5 kmph 2) 65 kmph 3) 50 kmph 4) 70 kmph 5) None of these

3. A man covers 220 km in 8 hours and another 300 km at an average speed of 60kmph. Find the average speed of the man for the
total distance.
1) 43.75 kmph 2) 55 kmph 3) 45 kmph 4) 40 kmph 5) None of these

4. A train crosses a bridge of length 290 metres in 27seconds. Find the length of the train if it runs at 90kmph speed.
1) 385 m 2) 270 m 3) 245 m 4) 675 m 5) None of these

5. Two trains start from two stations A and B towards each other at 8am with speed 65kmph and 80kmph respectively. If they cross each other at 4pm, what is the distance between A and B?
1) 1325 km 2)1250 km 3) 1160 km
4) Can't be determined 5) None of these

6. In what time, a 178 m long train running at 108 kmph speed, overtakes a 247 m long train running at 36 kmph rate?
1) 10.625 sec 2) 21.25 sec 3) 20.45 sec
4) 19.75 sec 5) None of these

7. A man goes from his house to office in a car. If his speed is 60 kmph, he reaches his office 3 minutes late however if his speed is
80kmph he is early by 5 minutes. Find the speed between his house and office.
1) 32 km 2) 25 km 3) 60 km 4) Can't be determined 5) None of these

8. If a car travels at 5⎯8 th of its original speed, it takes 12 minutes more time to cover a certain distance. Find the actual time it takes to cover that distance?
1) 36 min 2) 24 min 3) 18 min 4) 20 min 5) None of these

9. A man goes round a circular track 7 times in 42 minutes. If the diameter of the circle is increased to 5 times the original
diameter, what is the time required by the man to go round the new track once at the same speed?
1) 35 min 2) 30 min 3) 5 min
4) 15 min 5) None of these

10. Two trains start at the same time from two stations A and B towards B and A with speeds 64kmph and 76 kmph respectively.
By the time they meet one train covers 96km more than other train. What is the distance between A and B?
1) 512 km 2) 1024 km 3) 1120 km
4) Can't be determined 5) None of these

11. A train running at a speed of 65 kmph passes a man, who is
sitting in another train running at 38 kmph in the same direction in 18 seconds. Find the length of the faster train.
1)132 m 2)120 m 3) 180 m 4) Data Inadequate
5) None of these

12. A train crosses a bridge of length 800 m in 100 seconds and a platform of length of 400 m in 60 seconds. Find the length of the
train.
1) 80 m 2)100 m 3) 200 m 4) Can't be determined
5) None of these

13. Without stoppages a train travels a certain distance at an average speed of 60 kmph and with stoppage it covers the same distance at an average speed of 40 kmph. How many minutes per hour does the train stop in between during the journey?
1) 20 min 2) 24 min 3) 30 min 4) 18 min 5) None of these

14. A car passes a man who was walking at the rate of 2 kmph in the same direction. The man could see the car for 6 minutes and it was visible to him up to a distance of 0.6km. What was the speed of the car?
1) 16 kmph 2) 10 kmph 3) 12 kmph 4) 8 kmph 5) None of these

15. Vijay runs 200 metres in 40 seconds and Ajay runs the same distance in 50 seconds. By what distance will Vijay beat Ajay in a
race of 100 metres?
1) 20 m 2) 25 m 3) 10 m 4) 15 m 5) 40 m

16. A boat covers a distance of 44 km downstream or a distance of 28 km upstream taking 4 hours each. Find the speed of the boat in still water.
1) 4 kmph 2) 9 kmph 3) 18 kmph 4) 4.5 kmph 5) None of these

17. A boat covers 60km distance downstream or 36 km distance upstream in the same time. If the speed of the current is 3 kmph,
find the speed of the boat.
1) 48 kmph 2) 12 kmph 3) 16 kmph 4) 15 kmph 5) None of these

18. Speed of a boat in still water is 12 kmph. It goes from a place A to another place B downstream and comes back from B to A upstream in 12 hours. If the speed of the current is 2kmph, find the distance between A and B.
1) 36 km 2) 72 km 3) 70 km 4) 45 km 5) None of these

19. If a man takes 3 hours to row 21 km downstream or 9 km upstream, what is the speed of the current?
1) 2 kmph 2) 7 kmph 3) 5 kmph 4) 4 kmph 5) None of these

20. A man can row at the rate of 4.5kmph in still water. He finds that it takes him twice as long to row up as to row down a river. Find the speed of the current of the river.
1) 2.5 kmph 2) 3 kmph 3) 2 kmph 4) 1.5kmph 5) None of these

Key : 1)2 2)3 3)4 4)1 5)3 6)2 7)1 8)4 9)2 10)3 11)2 12)3 13)1 14)4
15)1 16)2 17)2 18)3 19)1 20)4.

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