1000+ Ethiopian Bank Aptitude Test Questions and Answers Pdf - 1

Question: 1

Two trains 141 metres and 119 metres in length respectively are running in opposite directions, one at the rate of 30 km and the other at the rate of 42 km an hour. In what time will they be completely clear of each other from the moment they meet?

(A) 10 seconds

(B) 11 seconds

(C) 12 seconds

(D) 13 seconds

Ans: D

As the two trains are moving in opposite directions,

Their relative speed = 42 + 30 = 72 km/h = $$72 × {5}/{18}$$ = 20 m/s.

∴ Required time = $${Total length} / {Relative speed}$$ = $${141 + 119} / {20}$$ = 13 seconds.

Question: 2

A train 75 metres long overtook a person, who was walking at the rate of 6 km/hr and passed him in $$7{1}/{2}$$ seconds. Subsequently, it overtook a second person, and passed him $$6{3}/{4}$$ seconds. At what rate was the second person travelling?

(A) 1 km/h

(B) 2 km/h

(C) 3 km/h

(D) 4 km/h

Ans: B

Relative speed of train and first person
= $${75} / {15/2}$$ = 10 m/s = $$10 × {18}/{5}$$ = 36 km/h

∴ Speed of train = 36 + 6 = 42 km/h

Relative speed of train and second person = $${75}/{27/4}$$ = $${300/27}× {18/5}$$ = 40 km/h.

∴ Speed of second person = 42 - 40 = 2 km/h.

Question: 3

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

(A) 20

(B) 25

(C) 30

(D) 35

Ans: C

Let the time taken by the train to cross a walking man be t seconds.

Relative speed of train w.r.t. man = 63 - 3 = 60 km/hr = $$60 × {5}/{18}$$ m/s = $${50}/{3}$$ m/s.

Length of train = 500 m

∴ t = $${500} /{50/3}$$ = $${500 × 3} / {50}$$ = 30 sec.

Question: 4

How long does a train 180 metres long running at the rate of 36 km/h take to cross a bridge 100 metres in length?

(A) 20 seconds

(B) 28 seconds

(C) 30 seconds

(D) 32 seconds

Ans: B

Speed of train = 36 km/h = $$36 × {5}/{18}$$ = 10 m/s

Required time = $${180 + 100} / {10}$$ = 28 seconds.

Question: 5

A train travelling at 36 km/h took 15 seconds in passing a standing man. Find the length of the train.

(A) 100 m

(B) 120 m

(C) 150 m

(D) 200 m

Ans: C

Speed of train = 36 km/h = $$36 × {5}/{18}$$ = 10 m/s.

Time taken to pass the man = 15 seconds.

∴ Length of train = 10 × 15 = 150 m.

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