Explore topic-wise MCQs in Arithmetic Ability.

This section includes 437 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

351.

A man covers the journey from station A to station B at a uniform speed of 36 kmph and returns to A with a uniform speed of 45 kmph, his average speed for the whole journey is:?

A. 40 kmph
B. 40.5 kmph
C. 41 kmph
D. 42 kmph
Answer» B. 40.5 kmph
352.

A thief seeing a policeman at a distance of 150 metres starts running at 10 kmph and the policeman gives immediate chase at 12 kmph. When the thief is overtaken the thief has traveled a distance of:?

A. 750 m
B. 900 m
C. 800 m
D. 1 km
Answer» B. 900 m
353.

Two runner start running together for a certain distance, one at 5 km/h and another at 3 km/h. The former arrives one and half an hour before the latter. The distance in Km is :?

A. 12
B. 20
C. 25
D. 36
Answer» C. 25
354.

The speed of a motor-boat is that of the current of water as 36:5. The boat goes along with the current in 5 hours 10 minutes. It will come back in:

A. 5 h 50 min.
B. 6 hours
C. 6 h 50 minutes
D. 12 h 10 minutes
Answer» D. 12 h 10 minutes
355.

A train passes two bridges of length 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is:

A. 80m
B. 90m
C. 200m
D. 150m
Answer» D. 150m
356.

Two trains started at the same time, one from A to B and other from B to A. if they arrived at B and A respectively in 4 hours and 9 hours after they passed each other, the ratio of the speeds of the two trains was:

A. 2:1
B. 3:2
C. 4:3
D. 5:4
Answer» C. 4:3
357.

Running at 5/4 of his usual speed, an athlete improves his timing by 5 minutes. The time he usually takes to run the same distance is:

A. 30 min.
B. 28 min.
C. 25 min.
D. 23 min.
Answer» D. 23 min.
358.

A, B and C start together from the same place to walk round a circular path of length 12km. A walks at the rate of 4 km/h, B 3 km/h and C 3/2 km/h. They will meet together at the starting place at the end of:

A. 10 hours
B. 12 hours
C. 15 hours
D. 24 hours
Answer» E.
359.

A man can row 15 km/h in still water and he finds that it takes him twice as much time to row up than as to row down the same distance in the river. The speed of current (in km/h) :

A. 6
B. 6.5
C. 4.5
D. 5
Answer» E.
360.

The driver of an ambulance sees a school bus 40 m ahead of him after 20 seconds, the school bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the school bus?

A. 10 kmph
B. 12 kmph
C. 15 kmph
D. 22 kmph
Answer» C. 15 kmph
361.

A 6 *6 grid is cut from an 8 *8 chessboard. In how many ways can we put two identical coins, one on the black square and one on a white square on the grid, such that they are not placed in the same row or in the same column?

A. 216
B. 324
C. 144
D. 108
Answer» B. 324
362.

A plan left 40 minutes late due to bad whether and order to reach its destination 1600 km away in time, it had increase its speed by 400 kmph from its usual speed. Find the usual speed of the plane?

A. 600
B. 400
C. 1000
D. 800
Answer» E.
363.

Two trains starting at the same time from two-stations 300 km apart and going in opposite directions, cross each other at a distance of 160 km from one of them. The ratio of their speeds is :

A. 7:9
B. 16:20
C. 8:7
D. 8:12
Answer» D. 8:12
364.

Two boats A and B start towards each other from two places, 108 km apart. Speed of the boats A and B in still water are 12 km/h and 15 km/h respectively. If A proceeds down and B up the stream, they will meet after:

A. 4.5 hours
B. 4 hours
C. 5.4 hours
D. 6 hours
Answer» C. 5.4 hours
365.

A train passes two persons walking in the same direction at a speed of 3 kmph and 5 kmph respectively in 10 seconds and 11 seconds respectively. The speed of the train is

A. 28kmph
B. 27 kmph
C. 25 kmph
D. 24 kmph
Answer» D. 24 kmph
366.

A train, 300m long, passed a man, walking along the line in the same direction at the rate of 3 kmph in 33 seconds. The speed of the train is:

A. 30 kmph
B. 32 kmph
C. 32(8/11) kmph
D. 35(8/11) kmph
Answer» E.
367.

Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearings of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed (in km/h)?

A. 24
B. 27
C. 30
D. 36
Answer» C. 30
368.

From two places, 60 km apart, A and B start towards each other at the same time and meet each other after 6 hour. If A traveled with 2/3 of his speed and B traveled with double of his speed, they would have met after 5 hours. The speed of A is:

A. 4 km/h
B. 6km/h
C. 10 km/h
D. 12 km/h
Answer» C. 10 km/h
369.

Roorkee express normally reaches its destination at 50 km/h in 30 hours. Find the speed at which it travels to reduce the time by 10 hours?

A. 38 km/h
B. 76 km/h
C. 75 km/h
D. 60 km/h
Answer» D. 60 km/h
370.

If two incorrect watches are set at 12 :00 noon at correct time, when will both watches show the correct time for the first time given that the first watch gains 1 min in one hour and second watch looses 4 min in two hours.

A. 6 PM, 25 days later
B. 12 noon, 30 later
C. 12 noon, 15 days later
D. 6 AM, 45 days later
E. None of these
Answer» C. 12 noon, 15 days later
371.

The ratio of speeds of A and B is 2:3 and therefore A takes 20 minutes less time than B. What is the ratio of time taken by A and B?

A. 2:3
B. 2:5
C. 3:2
D. 3:5
Answer» D. 3:5
372.

An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?

A. 18 hours
B. 17 hours
C. 16 hours 35 min
D. 16 hours 40 min
E. None of these
Answer» D. 16 hours 40 min
373.

A car traveled first 36 km at 6 km/h faster than the usual speed, but it returned the same distance at 6 km/h slower than usual speed. I the total time taken by car is 8 hours, for how many hours does it traveled at the faster speed ?

A. 4
B. 3
C. 2
D. 1
Answer» D. 1
374.

Sabarmati express takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is :

A. 132 m
B. 100 m
C. 80 m
D. 90 m
Answer» E.
375.

Two persons A and B started from two different places towards each other. If the ratio of their speed be 3:5, then what is the ratio of distance covered by A and B respectively till the point of meeting?

A. 1:2
B. 3:4
C. 3:5
D. 5:3
Answer» D. 5:3
376.

A monkey climbs a 60 m high pole. In first minute he climbs 6 m and slips down 3 m in the next minute. How much time is required by it to reach the top?

A. 35minutes
B. 33 minutes
C. 37 minutes
D. 40 minutes
Answer» D. 40 minutes
377.

A dog start chasing to a cat 2 hour later. It takes 2 hours to dog to catch the cat. If the speed of the dog is 30 km/h. what is the speed of cat?

A. 10 km/h
B. 12 km/h
C. 15 km/h
D. 20 km/h
Answer» D. 20 km/h
378.

A postman goes with a speed of 36 km/h what is the speed of postman in m/s?

A. 4.5 m/s
B. 6 m/s
C. 5 m/s
D. 10 m/s
Answer» E.
379.

A person X starts from Lucknow and another person Y starts from Kanpur to meet each other. Speed of X is 25 km/h, while Y is 35 km/h. If the distance between Lucknow and Kanpur be 120 km and both X and Y start their journey at the same time, when they will meet ?

A. 1 h later
B. 2 h later
C. 1/2 h later
D. 3 h later
Answer» C. 1/2 h later
380.

A man starts climbing a 11 m high wall at 5 pm. In each minute he climbs up 1 m but slips down 50 cm. At what time will he climb the wall?

A. 5:30 pm
B. 5:21 pm
C. 5:25 pm
D. 5:27 pm
Answer» C. 5:25 pm
381.

A coolie standing on a railway platform observe that a train going in one direction takes 4 second to pass him. Another train of same length going in opposite direction takes 5 seconds to pass him. The time taken (in seconds) by two train to cross each other will be:

A. 35
B. 36.5
C. 40/9
D. 36
Answer» D. 36
382.

If a 250 m long train crosses a platform of same length as that of the train in 25 seconds, then the speed of the train is:

A. 150 m/sec
B. 200 m/sec
C. 20 km/h
D. 72 km/h
Answer» E.
383.

A thief sees a jeep at a distance of 250 m, coming towards him at 36 km/h. Thief takes 5 seconds to realize that there is nothing but the police is approaching him by the jeep and start running away from police at 54 km/h. But police realise after 10 second, when the thief starts running away, that he is actually a thief and gives chase at 72 km/h. How long after thief saw police did catchup with him and what is the distance police had travel to do so?

A. 50 s, 1000m
B. 65 s, 1150m
C. 65 s, 1300m
D. 45 s, 1050m
E. None of these
Answer» C. 65 s, 1300m
384.

If A travels to his school from his house at the speed of 3 km/h, then he reaches the school 5 minutes late. If he travels at the speed of 4 km/h, he reaches the school 5 minutes earlier than school time. The distance of his school from his house is:

A. 1 km
B. 2 km
C. 3 km
D. 4 km
Answer» C. 3 km
385.

A soldier fired two bullets at an interval of 335 seconds moving at a uniform speed V1. A terrorist who was running ahead of the soldier in same direction, hears the two shots at an interval of 330 seconds. If the speed of sound is 1188 km/h, then who is the faster and how much?

A. Soldier, 22 km/h
B. Terrorist, 25 km/h
C. Soldier, 18 km/h
D. Terrorist, 20 km/h
E. None of these
Answer» D. Terrorist, 20 km/h
386.

A train 350 m long is running at the speed of 36 km/h. If it crosses a tunnel in 1 minute, the length of the tunnel in metres:

A. 200
B. 250
C. 300
D. 150
Answer» C. 300
387.

The wheel of an engine of 300 cm in circumference makes 10 revolutions in 6 seconds. What is the speed of the wheel (in km/h)?

A. 18
B. 20
C. 27
D. 36
Answer» B. 20
388.

An athlete runs 200 meters race in 24 seconds. His speed in km/h is

A. 20
B. 24
C. 28.5
D. 30
Answer» E.
389.

A man completes a certain journey by a car. If he covered 30% of the distance at the speed of 20kmph. 60% of the distance at 40km/h and the remaining of the distance at 10 kmph, his average speed is:

A. 25 km/h
B. 28 km/h
C. 30 km/h
D. 33 km/h
Answer» B. 28 km/h
390.

A girl while walking diametrically across a semicircular playground, takes 3 minutes less than if she had kept walking round the circular path from A to B. If she walks 60 metres a minute, what is diameter of the play ground?

A. 60 m
B. 48 m
C. 84 m
D. 315 m
E. None of these
Answer» E. None of these
391.

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:

A. 300 kmph
B. 360 kmph
C. 600 kmph
D. 720 kmph
Answer» E.
392.

A man takes 6 hours 15 minutes in walking a distance and riding back to starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride back both ways is:

A. 4 hours
B. 4 hours 3o min.
C. 4 hours 45 min.
D. 5 hours
Answer» D. 5 hours
393.

A dog after traveling 50 km meets a swami who counsels him to go slower. He then proceeds at 3/4 of his former speed and arrives at his destination 35 min late. Had the meeting occurred 24 km further the dog would have reached its destination 25 min late. The speed of dog is:

A. 48 kmph
B. 36 kmph
C. 54 kmph
D. 58 kmph
Answer» B. 36 kmph
394.

Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 100 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains be together:

A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
Answer» D. 275 km
395.

Two boats go downstream from point X to Y. The faster boat covers the distance from X to Y, 1.5 times as fast as slower boat. It is known that for every hour slower boat lags behinds the faster boat by 8 km. however, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water?

A. 12 kmph
B. 20 kmph
C. 24 kmph
D. 25 kmph
E. None of these
Answer» C. 24 kmph
396.

A train running at a speed of 54 km/hr crosses a platform in 30 seconds. The platform is renovated and its length is doubled. Now, the same train running at same speed crosses the platform in 46 seconds. Find the length of the train.

A. 180 metres
B. 200 metres
C. 210 metres
D. 240 metres
E. 450 meteres
Answer» D. 240 metres
397.

Waking 3/4 of his normal speed, Rabi is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and office:

A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min
Answer» B. 60 min.
398.

When do the two hands of a clock of just after 3 pm make 300 angel between them?

A. 3:15:00
B. 3:10:54
C. 3:01:59
D. 3:5:20
Answer» C. 3:01:59
399.

If a man runs at 6 kmph from his house, he misses the train at the station by 8 min. If he runs at 10 kmph, he reaches 7 min before the departure of the train. What is the distance of the station from his house? (in Km).

A. 4 3/4 km
B. 3 1/2 km
C. 4 1/4 km
D. 3 3/4 km
E. 4 1/2 km
Answer» E. 4 1/2 km
400.

Two buses start from a bus terminal with a speed of 20 km/h at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?

A. 3 km/h
B. 4 km/h
C. 5 km/h
D. 7 km/h
Answer» D. 7 km/h