Quantitative Aptitude Quiz for RBI Assistant/ IBPS PO Mains 2020- 28th October

Table of Contents

Q1. The speed of car is 25% more than the speed of bus. The time difference between them to cover a certain distance D, is 1 hour. On particular day, driver noticed that if they are (D-40) km apart from each other then they can meet in 2 hours driving in opposite direction at their normal speed. Find 150% of the speed of bus ?
(a) 150 km/hr
(b) 90 km/hr
(c) 120 km/hr
(d) 105 km/hr
(e) None of these

Q2. Abhishek and Ayush start travelling in same direction at 8 km/hr and 13 km/hr respectively. After 4 hours, Abhishek doubled his speed and Ayush reduced his speed by 1 km/hr and reached the destination together. How long the entire journey last ?
(a) 9 hr
(b) 8 hr
(c) 4 hr
(d) 7 hr
(e) 6 hr

Q3. Two points A and B are 150 km are apart. Kunal leaves point A towards point B by bike at uniform speed of 50 kmph. After one hour, Hemant leaves point B towards point A by car at a uniform speed of 60 kmph. Each of them stops at a point 15 km from their starting point for 12 minutes. Find the distance between point A and the point where they meet?

Q4. A car covered 48 km less in T hours than a train, if speed of train is 25% more than speed of car, which is 64 km/hr and speed of an aircraft is 62½% more than the sum of speed of car and train. Find how much distance will be covered by aircraft in (T–¼) hour?
(a) 634.5 km
(b) 624.5 km
(c) 643.5 km
(d) 648.5 km
(e) 664.5 km

Q5. The distance between two places A and B are 140 km. A man can cover some distance with the speed of 6 km/hr and remaining distance with 10 km/hr if the man interchanged his speed then he covered 8 km more distance in that total time. Then find the average speed of the man when he travels with an initial speed from A to B?

Q6. Difference between downstream and upstream speed of a boat is 6 km/h. Find the total time taken by boat to cover 30 km in upstream if it takes 7 hours to cover a distance of 20 km both in downstream and upstream?

Q7. Speed of current is 10 km/hr and speed of a motor boat is 80% more than speed of current. Motor boat travels 280 km downstream with its usual speed, after that it’s increased speed by ‘s’ kmph and travelled for another 280 km then it returns and covers 560 km in upstream. If boat complete whole journey downstream to upstream in 45 hr, then find the value of ‘s’?
(a) 10 km/hr
(b) 8 km/hr
(c) 6 km/hr
(d) 12 km/hr
(e) 4 km/hr

Q8. Speed of a boat in still water is 20 km/hr and speed of current is 4 km/hr, if time taken by boat to cover a distance of (d – 40) km upstream is one hour more than the time taken by boat to cover a distance of (d – 24) km in downstream, then find time taken by boat to cover a distance of (d + 48) km in downstream and in upstream both?
(a) 16.5 hours
(b) 17 hours
(c) 18 hours
(d) 17.5 hours
(e) 18.5 hours

Directions (9–10): Ratio of upstream and downstream speed of a boat (A) is 7 : 11 and boat cover 70 km upstream in 5 hours. Boat (B) takes 10 hours to cover 120 km in upstream. (speed of stream is same for both boat)

Q9. Find total time taken by boat B to cover 80 km in downstream & same distance in upstream?

Q10.If speed of boat C in still water is 25% more than that of speed of boat B in still water, then find ratio of speed of boat A to speed of boat C in still water?
(a) 7 : 10
(b) 9 : 11
(c) 9 : 8
(d) 8 : 9
(e) 9 : 10

Q12. ‘X’ meters long train cross a pole in ‘t’ sec and a platform which is ‘L’ meters long in 20 sec. If speed of train is 72 km/hr, then what will be value of ‘t’ and ‘L’
(a) 16 & 140
(b) 12 & 200
(c) 8 & 240
(d) 8 & 200
(e) 16 & 120

Q13. Train ‘X’ takes 2 hours more than train ‘Y’ to cover certain distance ‘D’ while train ‘X’ can cover (D+160) is 8 hours. If speed of train ‘Y’ is 50% more than that of train ‘X’, then find the speed of train ‘Y’?
(a) 80 km/hr
(b) 120 km/hr
(c) 16 km/hr
(d) 40 km/hr
(e) 60 km/hr

Q14. Ratio between length of two trains is 1 : 2 and speed of two trains is 120 km/hr & 108 km/hr respectively and both trains running in same direction cross each other in 108 sec. If two compartments were added in smaller train then it can cross a platform of length of 12.5 times of length of one compartment in 14.04 sec, then find the time taken by longer train to cross that same platform, if five new compartments were added in to that train?
(a) 18 sec
(b) 22 sec
(c) 16 sec
(d) 20 sec
(e) 28 sec

Q15. Two trains A and B of length 400 m and (400+x) m respectively are moving with same speed. If train A and B crosses a pole in 16 sec and 24 secs respectively then in what time train ‘B’ will cross 400 m long platform.
(a) 32 sec
(b) 40 sec
(c) 45 sec
(d) 54 sec
(e) 24 sec

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