Quantitative Aptitude Quiz For ECGC PO 2021- 18th January

Table of Contents

Q1. A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late, what is the speed of the train?
(a) 50 kmph
(b) 60 kmph
(c) 45 kmph
(d) 58 kmph
(e) 65 kmph

Q2. A man can row 30 km upstream and 44 km downstream in 10 hours. It is also known that he can row 40 km upstream and 55 km downstream in 13 hours. Find the speed of the man in still water.
(a) 10 km/hr
(b) 8 km/hr
(c) 12 km/hr
(d) 14 km/hr
(e) 16 km/hr

Q3. When speed of a train is increased by 20 km/hr it can cover a distance 40 minutes earlier. If speed of train is decreased by 30 km/h it takes 70 minutes more to cover that distance. Find distance covered by train.
(a) 3000 km
(b) 2000 km
(c) 2085 km
(d) 2175 km
(e) 3850 km

Q5. If speed of boat in upstream is double than the speed of current and speed of boat in still water is 27 km/hr. Then find the time taken by boat to travel 54 km downstream? (in hour)
(a) 1.5
(b) 1.8
(c) 2.5
(d) 1.2
(e) 2

Q6. A man can row 15 kmph in still water and it takes him 75 minutes to row to a place and back if the speed of current is 3 Kmph, then how far is the place?
(a) 9 km
(b) 6 km
(c) 12 km
(d) 15 km
(e) 13.5 km

Q7. Two trains travel from Delhi to Lucknow and Lucknow to Delhi in 10 hour and 12 hours respectively. Both trains started simultaneously at 8 am and the train started from Delhi met with accident at 12 pm. Find percentage reduction in speed of train started from Delhi, if they meet each other at 2 PM, assume there is no loss of time in accident.
(a) 20%
(b) 25%
(c) 50%
(d) 100%
(e) 75%

Q8. A train can cross a platform of 100 m length completely in 12 seconds while covers a platform of double of its length in 21 seconds. Find the speed of the train? (in m/s)
(a) 12
(b)15
(c) 18
(d) 20
(e) 24

Q9. At its usual rowing rate, a boat can travel 32 km upstream in 2 hours more than it takes to cover same distance in downstream. If speed of boat in still water is reduced to half of it’s initial speed then it takes 8 hours more to cover a distance of 20 km in Upstream than in downstream. What is the reduced speed of boat in still water?
(a) 12 km/hr
(b) 8 km/hr
(c) 6 km/hr
(d) 4 km/hr
(e) 5 km/hr

Q10. Ratio between speed of boat in still water to downstream speed is 3 : 4 and boat takes 1 hour 40 minutes more to cover 80 km in still water than in downstream. Find time taken by boat to cover distance of 36 km in upstream?
(a) 4.5 hours
(b) 5.5 hours
(c) 3.5 hours
(d) 2.5 hours
(e) 1.5 hours

Q11. A man can row the boat in downstream from point A to C in 16 hours. But he return from point B, which is exactly mid-point of A and C to upstream in 12 hours. Find the ratio of speed of stream to the speed of man in still water ?
(a) 1 : 5
(b) 2 : 3
(c) 3 : 2
(d) 4 : 3
(e) 5 : 3

Q12. Walking at three-fourth of his usual speed, Ram cover certain distance in 2 hours more than the time he take to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ?
(a) 4.5 hr
(b) 5.5 hr
(c) 6 hr
(d) 5 hr
(e) 4 hr

Q13. If I go to my office by bike, I reach my office 30 min early. If I go to my office by metro, I reach 15 min late. The distance between my home to office be 60 km then what is the actual office time If I left home for office at 8:30 AM? (In each case distance remains same and Ratio between speed of bike to metro = 3 : 2)
(a) 9 : 30 AM
(b) 10 : 30 AM
(c) 11 : 30 AM
(d) 9 : 00 AM
(e) 10 : 00 AM

Q15. A train of length 180 meter cross a platform in 15 seconds with a speed of 60 km/h. A man crosses the same platform in 4 minutes find the speed of man?
(a) 1.05 km/h
(b) 3 km/h
(c) 2.05 km/h
(d) 2.1 km/h
(e) 2 km/h

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