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Quantitative Aptitude Quiz - Set 14

image 2017-10-11 16:51:18
Quantitative Aptitude Quiz - Set 14

Q1. A train overtakes two persons who are walking in the same direction in which the train is going at the rate of 2 km/h and 4 km/h and passes them completely in 9s and 10s respectively. The length of the train (in m) is  
(a) 72
(b) 54
(c) 50
(d) 45
(e) None of these

Q2. A motorcycle starts with the speed of 70 km/h with its speed increasing every two hours by 10 km/h. In how many hours will it cover 345 km?  
(a) 2 1/4h
(b) 4 1/2h
(c) 4 h 5 min
(d) Cannot be determined
(e) None of these

Q3. Two stations, A and B are 827 km apart from each other. One train starts from station A at 5 am and travel towards station B at 62 km/h. Another train starts from station B at 7 am and travel towards station A at 59 km/h. At what time will they meet?  
(a) 1:00 pm
(b) 11:45 am
(c) 12:48:35 pm
(d) 11:30:30 am
(e) 1: 37:45 pm

Q4. Train A crosses a pole and platform in 18 s and 39 s, respectively. The length of platform is 157.5 m. What will be the length of train B, if it is equal to the sum of half of the length of train A and twice the length of the platform?   
(a) 382.5 m
(b) 328.5 m
(c) 238.5 m
(d) 315 m
(e) None of these
             
Q5. A boat takes 35 min less to travel 28 km downstream than it takes to travel the same distance upstream. If the speed of the boat in still water is 14 km/h, what is the speed of the stream? (in km/h)  
(a) 2.5
(b) 6.5
(c) 2
(d) 9.5
(e) 10.5

Q6. A boat travels 24 km upstream in 6 h and 20 km downstream in 4h. Then, the speed of a boat in still water and the speed of current are respectively.  
(a) 4.5 km/h and 3 km/h
(b) 4.5 km/h and 0.5 km/h
(c) 4 km/h and 2 km/h
(d) 5 km/h and 2 km/h
(e) None of the above

Q7. The current of a stream runs at the rate of 4 km in an hour. A boat goes 6 km and comes back to the starting point in 2h. The speed of the boat in still water is  
(a) 6 km/h
(b) 8 km/h
(c) 7.5 km/h
(d) 6.8 km/h
(e) None of these

Q8. A person leaves a place A to place B at 6 am and reaches place B at 10 am. Another person leaves B at 7:30 am and reaches A at 11 am. They will meet each at  
(a) 7:40 am
(b) 8:20 am
(c) 8:40 am
(d) 9:20 am
(e) None of these

Q9. A man takes 6 h 15 min in walking a distance and riding back to the starting place. He could walk both ways in 7 h 45 min. The time taken by him to ride the ways is   
(a) 4 h
(b) 4 h 30 min
(c) 4 h 45 min
(d) 5 h
(e) None of the above

Q10. In a race of 1000 m, A can beat B by 100 m. In a race of 400 m, B beats C by 40 m. In a race of 500 m A will beat C by  
(a) 95 m
(b) 50 m
(c) 45 m
(d) 60 m
(e) None of the above

Solutions:

Ans1. c


Ans2. b


Ans3. c


Ans4. a


Ans5. c


Ans6. b


Ans7. b


Ans8. c


Ans9. c


Ans10. a