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.

401.

Vinay and Versha run a race with their speed in the ratio of 5:3. They prefer to run on a circular track of circumference 1.5 km. What is the distance covered by Vinay when he passes Versha for the seventh time?

A. 25.25 km
B. 26.25 km
C. 13.2 km
D. 14.5 km
Answer» C. 13.2 km
402.

A person can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream?

A. 3/2 hours
B. 7 hours
C. 29/4 hours
D. 7/2 hours
Answer» E.
403.

Due to the technical snag in the signal system two trains start approaching each other on the same track from two different stations, 240 km away each other. When the train starts a bird also starts moving to and fro between the two trains at 60 kmph touching each train each time. The bird initially sitting on the top of the engine of one of the trains and it moves so till these trains collide. If these trains collide one and half hour after start, then how many kilometers bird travels till the time of collision of trains?

A. 90 km
B. 130 km
C. 120 km
D. 95 km
E. None of these
Answer» B. 130 km
404.

A man can cross a downstream river by steamer in 40 minutes and same by boat in 1 hour. If the time of crossing Upstream by streamer is 50% more than downstream time by steamer and the time required by boat to cross same river by boat in upstream is 50% more than time required by in downstream. What is the time taken for the man to cross the river downstream by steamer and then return to same place by boat half the way and by steamer the rest of the way?

A. 85 min
B. 115 min
C. 120 min
D. 125 min
E. None of these
Answer» C. 120 min
405.

Two trains start simultaneously from two stations Howrah and Delhi, respectively towards each other on the same track. The distance between the two stations is 560 km and the speeds of trains are 30 kmph and 40 kmph.Simultaneously with the trains, a sparrow sitting on the top of one of the train starts towards the other and reverses its direction on reaching the other train and so on. If the speed of sparrow is 80 kmph then the distance that the sparrow lies before being crushed between the train is :

A. 70 km
B. 560 km
C. 640 km
D. 650 km
E. None of these
Answer» D. 650 km
406.

A hunter fired two shots from the branch of a tree at an interval of 76 seconds. A tiger separating too fast hears the two shots at an interval of 83 seconds. If the velocity of the sound is 1195.2 km/h, then find the speed of the tiger.

A. 112.8 km/h
B. 100.8 km/h
C. 80.16 km/h
D. 85.16 km/h
E. None of these
Answer» C. 80.16 km/h
407.

An old man driving bike at 80 km per hour. However being sugar patient, old man could not travel continuously. He takes small breaks each of 2 minutes for every 15 minute of his drive. How much distance the old man will cover in 90 minutes?

A. 112 Km
B. 104 Km
C. 89 Km
D. 118 Km
Answer» C. 89 Km
408.

A car after traveling 18 km from a point A developed some problem in the engine and the speed became 4/5th of its original speed. As a result, the car reached point B 45 minutes late. If the engine had developed the same problem after traveling 30 km from A, then it would have reached 36 minutes late. The original speed of the car (in km/h) is:

A. 25
B. 30
C. 20
D. 35
E. None of these
Answer» D. 35
409.

A 6 cm long cigarette burns up in 15 minutes if no puff is taken.For every puff, it burns three times as fast during the duration of the puff.If the cigarette burns itself in 13 minutes, then how many puffs has the smoker taken if the average puff lasted 3 seconds?

A. 17
B. 18
C. 20
D. 22
E. None of these
Answer» D. 22
410.

A motor car does a journey in 17.5 hours, covering the first half at 30 km/h and the second half at 40 km/h. Find the distance of the journey?

A. 684 km
B. 600 km
C. 624 km
D. 584 km
Answer» C. 624 km
411.

An individual is cycling at a speed of 25 km per hour. He catches his predecessor who had started earlier in two hours. What is the speed of his predecessor who had started 3 hours earlier ?

A. 15 kmph
B. 12 kmph
C. 10 kmph
D. 8 kmph
Answer» D. 8 kmph
412.

Narayan walking at a speed of 20 km/h reaches his college 10 minutes late. Next time he increases his speed by 5 km/h, but finds that he is still late by 4 minutes. What is the distance of his college from his house?

A. 10 km
B. 6 km
C. 12 km
D. 15 km
Answer» B. 6 km
413.

A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12 of the distance AB measured from the entrance A. When the train whistles the Cat runs. If the cat moves to the exit B, the train catches the cat exactly the exit. The speed of the train is greater than the speed of the cat by what order ?

A. 1:6
B. 3:5
C. 6:1
D. 5:4
E. None of these
Answer» D. 5:4
414.

Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who is coming towards the place in a train hears the second sound after 11 minutes. Find the speed of train. (speed of sound = 330 m/s)

A. 72 kmph
B. 36 kmph
C. 81 kmph
D. 108 kmph
E. None of these
Answer» D. 108 kmph
415.

A man walking at the speed of 4 km/hr,cross a square field diagonally in 3 minutes.The area of the field is?

A. 20000 sqm
B. 25000 sqm
C. 18000 sqm
D. 19000 sqm
Answer» B. 25000 sqm
416.

Between 5 am and 5 pm of a particular day for how many times are the minute and the hour hands together?

A. 11
B. 22
C. 33
D. 44
Answer» B. 22
417.

A candle of 6 cm long burns at the rate of 5 cm in 5 hour and an another candle 8 cm long burns at the rate of 6 cm in 4h. What is the time required to each candle to remain of equal lengths after burning for some hours, when they starts to burn simultaneously with uniform rate of burning?

A. 1 h
B. 1.5 h
C. 2 h
D. 3 h
E. 4 h
Answer» F.
418.

A cyclist moving on a circular track of radius 100 meters completes one revolution in 2 minutes. What is the average speed of cyclist (approx.)?

A. 314 m/min
B. 200m/min
C. 300 m/min
D. 900 m/min
E. None of these
Answer» B. 200m/min
419.

A tiger is 50 of its own leaps behinds a deer. The tiger takes 5 leaps and per minutes to the deer's 4. If the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it caches the deer?

A. 600 m
B. 700 m
C. 800 m
D. 1000 m
E. None of these
Answer» D. 1000 m
420.

A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/h in the same direction. The pedestrian could see the car for 6 minutes and it was visible to him up to distance of 0.6 km. what was speed of the car?

A. 30kmph
B. 15kmph
C. 20kmph
D. 8kmph
E. 12kmph
Answer» E. 12kmph
421.

A man goes to the fair with his and dog. Unfortunately man misses his son which he realizes 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to son and comes back to the man to show him the direction of his son. He keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance traveled by the dog in the direction of the son?

A. 800 m
B. 1675 m
C. 848 m
D. 1000 m
E. None of these
Answer» E. None of these
422.

A plane left half an hour later than the scheduled time and in order to reach its destination 1500 kilometers away in time, it had to increase its speed by 33.33 percent over its usual speed. Find its increased speed.

A. 250kmph
B. 500kmph
C. 750kmph
D. 1000kmph
E. 1200kmph
Answer» E. 1200kmph
423.

A racetrack is in the form of a right triangle. The longer of the legs of track is 2 km more than the shorter of the legs (both these legs being on a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. find the length of the race track.

A. 14 km
B. 10 km
C. 24 km
D. 36 km
E. 30 km
Answer» B. 10 km
424.

Rohan, Shikha's boyfriend, had to pick her from her home for a live concert on her 23rd birthday. The venue of the concert and Shikha's home were in opposite directions from Rohan's office. He got late because of some work at office and realised that if he goes to pick Shikha from her home, which was a 48-minute drive from his office, they would be late for the show by 16 minutes. He asked her to start from her home towards his office in an auto-rickshaw and himself started driving towards her home. Both of them started simultaneously, he picked her as soon as they met and they managed to reach the venue just in time for the concert. If Rohan drives at an average speed of 60 km/hr, find the speed (in km/hr) of the auto-rickshaw.

A. 16
B. 20
C. 12
D. 15
E. None of these
Answer» D. 15
425.

A ship leaves on a long voyage. When it is 18 miles from shore, a sea plane, whose speed is ten times that of the ship, is sent to deliver mail. How far from the shore does the sea plane catch up with the ship?

A. 24 miles
B. 25 miles
C. 22 miles
D. 20 miles
E. None of these
Answer» E. None of these
426.

Two trains start from the same point simultaneously and in the same direction. The first train travels at 40 km /h, and the speed of the second train is 25% more than the speed of first train. Thirty minutes later, a third train starts from same point and in the same direction. It over takes the second train 90 minutes later than it overtook the first train. What is the speed of the third train?

A. 20 km/h
B. 40 km/h
C. 60 km/h
D. 50 km/h
E. 80 km/h
Answer» D. 50 km/h
427.

Two persons A and B start simultaneously from P and Q respectively. A meets B at a distance of 60m from P. After A reaches Q and B reaches P, they turn around and strt walking in opposite direction.now B meets A at a distance of 40m from Q. Find distance between P and Q?

A. 160 m
B. 100 m
C. 140 m
D. 105 m
E. None of These
Answer» D. 105 m
428.

Karan and Arjun run a 100 m race, where Karan beats Arjun by 10 m. To do a favour to Arjun, Karan starts 10 m behind the starting line in a second 100 race. They both run at their earlier speeds. Which of the following is true in connection with the race?

A. Karan and Arjun reach the fini
B. Arjun beats Karan by 1 m.
C. Arjun beats Karan by 11 m.
D. Karan beats Arjun by 1 m.
E. Cannot be said
Answer» E. Cannot be said
429.

An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than its predecessor. If the ant had covered 1 mm in the first second and 8 mm more in each successive second, then the difference between the path it would cover during the same time and actual path would be more than 6 mm but less than 30 mm. find the time for which the ant moved (in seconds).

A. 5 s
B. 4 s
C. 6 s
D. 2 s
E. None of these
Answer» C. 6 s
430.

Two cars start simultaneously from cities A and B, towards B and A respectively, on the same route. Once the two cars reach their destinations they turned around and move towards the other city without any loss of time. The two cars continue shuttling in this manner for exactly 20 hours. If the speed of the car starting from A is 60km/hr and the speed of the car starting from B is 40km/hr and the distance between the two cities is 120 km, find the number of times the two cars cross each other?

A. 8
B. 10
C. 12
D. 20
E. Can't be determined
Answer» B. 10
431.

Two boats, travelling at 5 km/h and 10 km/h, head directly towards each other. They begin at a distance of 20 km from each other. How far apart are they (in km) one minute before they collide?

A. 1/12
B. 1/6
C. 1/4
D. 1/3
E. None of these
Answer» D. 1/3
432.

Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second, and the second as kilometers as first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida?

A. 5 km
B. 15 km
C. 25 km
D. 35 km
E. 24 km
Answer» C. 25 km
433.

Page and Plant are running on a track AB of length 10 metres. They start running simultaneously from the ends A and B respectively. The moment they reach either of the ends, they turn around and continue running. Page and Plant run with constant speeds of 2m/s and 5m/s respectively. How far from A (in metres) are they, when they meet for the 23rd time?

A. 0
B. 10
C. 40
D. 60/7
E. None of these
Answer» B. 10
434.

Two ports A and B are 300 km apart. Two ships leave A for B such that the second leaves 8 hours after the first. The ships arrive at B simultaneously. Find the time the slower ship spent on the trip if the speed of one of them is 10 km/h higher than that of the other.

A. 25hours
B. 20 hours
C. 15 hours
D. 20 hours
E. 24 hours
Answer» E. 24 hours
435.

Two planes move along a circle of circumference 1.2 km with constant speeds. When they move in different directions, they meet every 15 seconds and when they move in the same direction, one plane overtakes the other every 60 seconds. Find the speed of the slower plane.

A. 0.04 km/s
B. 0.03 km/s
C. 0.05 km/s
D. 0.02 km/s
E. None of these
Answer» C. 0.05 km/s
436.

Mr A started half an hour later than usual for the market place.But by increasing his speed to 3/2 times his usual speed he reached 10 minutes earlier than usual.What is his usual time for this journey?

A. 1 hour
B. 2 hour
C. 3 hour
D. 45 minutes
E. None of these
Answer» C. 3 hour
437.

Two horses started simultaneously towards each other and meet each other 3 hr 20 mins later. How much time will it take the slower horse to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first?

A. 10 hours
B. 5 hours
C. 15 hours
D. 6 hours
E. None of these
Answer» B. 5 hours