Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B?

A) 200 mts B) 180 mts
C) 160 mts D) 145 mts
 
Answer & Explanation Answer: A) 200 mts

Explanation:

Length of train A = 48 x 9 x 5/18 = 120 mts

Length of train B = 48 x 24 x 5/18 - 120

=> 320 - 120 = 200 mts.

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Q:

Sabrina travelled 8 km/hr on foot and 13 km/hr on cycle. She travelled a distance of 84 km in 8 hours. Forhow many hours did she cycle?

A) 4 B) 5
C) 3 D) 2
 
Answer & Explanation Answer: A) 4

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Q:

Hema takes a total of 9 hours 55 min to walk a certain distance and then cycling back to the same place from where she had started. She could walk both ways in 12 hours 30 min. The time she will take to cycle both ways is :

A) 7 hrs 20 min B) 7 hrs 15 min
C) 7 hrs 35 min D) 7 hrs 40 min
 
Answer & Explanation Answer: A) 7 hrs 20 min

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Q:

Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 51⁄2 hours less than the first for the journey, the length of the journey is:

A) 900 km B) 940 km
C) 990 km D) 1300 km
 
Answer & Explanation Answer: C) 990 km

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Q:

A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?

A) 6:20 B) 4:40
C) 6:00 D) 5:30
 
Answer & Explanation Answer: B) 4:40

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Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

A) 20.57 B) 24
C) 28 D) 26.52
 
Answer & Explanation Answer: B) 24

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Q:

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

A) 36 B) 39
C) 42 D) 45
 
Answer & Explanation Answer: C) 42

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Q:

Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?

A) 12 B) 8
C) 15 D) 10
 
Answer & Explanation Answer: D) 10

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