# 1000+ Numerical Ability Questions and Answers for Bank Exam - 1

Question: 1

A car covers a distance from Town I to Town II at the speed of 56 km/hr and from Town II to Town I at the speed of 53 km/hr. What is the average speed of the car?

(A) 53.5 km/hr

(B) 54 km/hr

(C) 54.5 km/hr

(D) 55 km/hr

Ans: C

Average speed = $$({2 × 56 × 53} / {56 + 53})$$ km/hr

= $$({5936} / {109})$$ km/hr. = 54.45 km/hr = 54.5 km/hr.

Question: 2

A bus covers a distance of 2924 km in 43 hours. What is the speed of the bus?

(A) 68 km/hr

(B) 70 km/hr

(C) 72 km/hr

(D) 74 km/hr

Ans: A

Speed = $$({2924} / {43})$$ km/hr = 68 km/hr.

Question: 3

Car A travels at the speed of 65 km/hr and reaches its destination in 8 hours. Car B travels at the speed of 70 km/hr and reaches its 4 hours. What is the ratio of the distance covered by car A and Car B respectively?

(A) 7 : 11

(B) 7 : 13

(C) 11 : 7

(D) 13 : 7

Ans: D

Required ratio = (65 × 8) : (70 × 4) = 520 : 280 = 13 : 7.

Question: 4

A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is

(A) 3 : 3

(B) 3 : 4

(C) 3 : 5

(D) 4 : 3

Ans: B

Ratio of speeds = $$({550} / {60} × {18}/{5})$$ : $$({33}/{45} × 60)$$ = 33 : 44 = 3 : 4.

Question: 5

Sound waves travel at 300 m/s. Sound produced at a point is heard by a person after 5 seconds while the same sound is heard by another person after 6 seconds. What could be the maximum and minimum distance between the two persons?

(A) 1.8 km, 0.15 km

(B) 2.2 km, 0.20 km

(C) 2.8 km, 0.25 km

(D) 3.3. km, 0.3 km

Ans: D

Clearly, the two persons would be maximum distance apart when they stand in opposite directions to the point at which sound is produced and minimum distance apart when they stand in the same direction.

∴ Maximum distance between the two persons = Distance covered by sound in (6 + 5) seconds i.e., 11 sec = (300 × 11) m = 3300 m = 3.3 km.

And, minimum distance between the two persons = Distance covered by sound in (6 - 5) sec, i.e., 1 sec = 300 m = 0.3 km.

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