Explore topic-wise MCQs in Arithmetic.

This section includes 44 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic knowledge and support exam preparation. Choose a topic below to get started.

1.

A person travels a certain distance at 3 km/hr and reaches 15 min late. If he travels at 4 km/hr, he reaches 15 min earlier. The distance he has to travel is

A. 4.5 km
B. 6 km
C. 7.2 km
D. 12 km
Answer» C. 7.2 km
2.

A car is travelling at a constant rate of 45 km/h. The distance travelled by car from 10:40 am to 1:00 pm is

A. 165 km
B. 150 km
C. 120 km
D. 105 km
Answer» E.
3.

A man can walk uphill at the rate of 2.5 km/h and downhill at the rate of 3.25 km/h. If the total time required walking a certain distance up the hill and return to the starting position is 4 h 36 min, what is the distance he walked up the hill?

A. 3.5 km
B. 4.5 km
C. 5.5 km
D. 6.5 km
Answer» E.
4.

A student goes to school at the rate of 2 1 km/hr and reaches 6 minutes late. If hetravels at the speed of 3 km/hr 2 he is 10 minutes early. What is the distance to the school?

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

Walking 2/3 times of his usual speed a man gets late by 20 minutes. The usual time taken by him to cover that distance:

A. 1 hour
B. 30 minutes
C. 40 minutes
D. 1 hr 20 min
Answer» D. 1 hr 20 min
6.

Raj and Prem walk in opposite direction at the rate of 3 km and 2 km per hour respectively. How far will they be from each other after 2 hrs?

A. 6 km
B. 8 km
C. 10 km
D. 2 km
Answer» D. 2 km
7.

Two buses start at the same time from Delhi and Agra, which are 300 km. apart, towards each other. After what time will they cross each other if their speeds are 38 km per hour and 37 km per hour?

A. 4 hours
B. 3 hours
C. 5 hours
D. 6 hours
Answer» B. 3 hours
8.

Walking at 3 km/hr . Pintu reaches his school 5 minutes late. If he walks at 4 km per hour he will be 5 minutes early. The distance of Pintu’s from his house is

A. 1 1 km 2
B. 2 km
C. 2 1 km 2
D. 5 km
Answer» C. 2 1 km 2
9.

A man rides at the rate of 18 km/hr, but stops for 6 minutes to change horses at the end of every 7th km. The time that he will take to cover a distance of 90 km is

A. 6 hrs
B. 6 hrs. 12 min.
C. 6 hrs. 18 min.
D. 6 hrs. 24 min.
Answer» C. 6 hrs. 18 min.
10.

A motor-cycle covers 40 km with a speed of 20 km/hr. find the speed of the motor-cycle for the next 40 km journey so that the average speed of the whole journey willbe 30 km/hr.

A. 70 km/hr
B. 52.5 km/hr
C. 60 km/hr
D. 60.5 km/hr
Answer» D. 60.5 km/hr
11.

A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr. How far the thief will have run before he is overtaken?

A. 100 m
B. 150 m
C. 200 m
D. 400 m
Answer» E.
12.

A boy travelled from the home to the college at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, Find the distance of the college from the home.

A. 5 km
B. 10 km
C. 15 km
D. 20 km
Answer» E.
13.

While covering a distance of 24 km, a man noticed that after walking for 1 hour and40 minutes, thedistance covered by him was 5/7 of the remaining distance. What was his speed in meters per second?

A. 2 4 m/sec 3
B. 2 4 m/sec 7
C. 1 2 m/sec 3
D. 2 4 m/sec 7
Answer» D. 2 4 m/sec 7
14.

A Jackal takes 4 leaps for every 5 leaps of goat but 3 leaps of a Jackal are equal to 4 leaps of the goat. compare their speeds

A. 12 : 10
B. 7 : 5
C. 1 : 4
D. 16 : 15
Answer» E.
15.

A cyclist covers a distance of 750 m in 2 min 30 sec. what is the speed in km /hr of the cyclist ?

A. 12 km/hr
B. 15 km/hr
C. 18 km / hr
D. 20 km / hr
Answer» D. 20 km / hr
16.

How many minutes does Mayank take to cover a distance of 400 m, If he runs at speed of 20 km/hr?

A. 1 1 min 5
B. 1 2 min 5
C. 2 2 min 5
D. 2 3 min 5
Answer» B. 1 2 min 5
17.

A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?

A. 2 1 hours 4
B. 4 1 hours 2
C. 4 hours 5 minutes
D. Can't be determined
E. None of these
Answer» C. 4 hours 5 minutes
18.

A and B start at the same time with speeds of 40 km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is

A. 46 km
B. 48 km
C. 50 km
D. 52 km
E. None of these
Answer» D. 52 km
19.

A man takes 5 hours 45 minutes to walk to a certain place and ride back. He would have saved 2 hours had he ridden both ways. The time he would take to walk both ways is

A. 3 hours 45 minutes
B. 7 hours 30 minutes
C. 7 hours 45 minutes
D. 11 hours 45 minutes
E. None of these
Answer» D. 11 hours 45 minutes
20.

The distance between two places A and B is 370 km. the 1st car departs from place A to B, at a speed of 80 kmph at 10 am and 2nd car departs from place B to A at a speed of 50 kmph at 1 pm. At what time both cars meet each other?

A. 2 : 30 pm
B. 2 : 00 pm
C. 2 : 10 pm
D. 2 : 20 pm
E. None of these
Answer» C. 2 : 10 pm
21.

The speeds of the Shaan and Rohan are 50 km/h and 30 km/h respectively. Initially Shaan is at a place N and Rohan is at a place M. The distance between M and N is 710 km. Shaan started his journey 3 hours earlier than Rohan to meet each other. If they meet each other at a place R somewhere between M and N. then the distance between R and N is

A. 210 km
B. 500 km
C. 430 km
D. 620 km
E. None of these
Answer» C. 430 km
22.

Rahul travels every day from Powai to Juhu and back to Powai by train which takes 70 minutes for each journey. At a particular day the train starts 14 minutes late from Powai but reaches Juhu on time, while on return travel from Juhu due to some problem train reaches Powai 20 minutes late. If the average speed of the train on this particular day was 56km/h what is the general average speed of the train?

A. 62 km/hr
B. 58.4 km/hr
C. 56 km/hr
D. 55.4 km/hr
E. None of these
Answer» C. 56 km/hr
23.

Pankaj was travelling to point B from point A with speed of 45 km/hr. After 1 hour, Pratik also started to travel from point A to point B. Pratik reached the point B 30 minutes before Pankaj. If Pratik would have decreased his speed by 6 km/hr then both would have reached point B at the same time. Find the original speed of Pratik.

A. 55 km/hr
B. 60 km/hr
C. 54 km/hr
D. 64 km/hr
E. 65 km/hr
Answer» C. 54 km/hr
24.

Ashok and Bimal runs on a 450 m long circular track at a speed of 12 m/s and 18 m/s respectively. They start at same time but run in opposite direction. Find the number of times, they would have met when Bimal covers 3240 meters.

A. 12
B. 10
C. 14
D. 16
E. 18
Answer» B. 10
25.

Amit, Anil and Ajit ride from home to their common office with speeds in the ratio 5 : 4 : 3. If in total they take 94 minutes (sum of the individual time taken) to cover the individual distance(which is same for all), then find the time taken by 'Anil' to cover his distance.

A. 30 min.
B. 48 min.
C. 24 min.
D. 40 min.
E. None of these
Answer» B. 48 min.
26.

Divya started from her house at 6:30 AM and travelled some distance till 7:30 AM. After covering 75% of that distance further, she found that she had covered 75% of total distance. Find the fraction of the total distance travelled by her by 8:30 AM. (Given: She travels total distance with a constant speed)

A. 3 7
B. 4 7
C. 6 7
D. 2 3
E. 5 9
Answer» D. 2 3
27.

Mohit and Anuj took a part in a race. Mohit runs 300m in 50 second and Anuj takes 1 minute to cover the same distance. By what distance will Mohit beat Anuj in 300 m race?

A. 25 m
B. 55 m
C. 60 m
D. 50 m
E. None of these
Answer» E. None of these
28.

Ranvir goes to his office from his house at a speed of 16 km/hr and returns to his home from his office at a speed of 20 km/hr and he takes 4 hour 30 minutes in all. If the distance of his friend's house from his office is 20% more than the distance of his house from his office, find the distance of his house to his friend's house.(assuming the office lies between Ranvir's house and his friend's house)

A. 80 km
B. 60 km
C. 92 km
D. 70 km
E. 88 km
Answer» F.
29.

The respective ratio between the speed of a car, a train, and a bus is 5 : 9 : 4.The average speed of the car , the bus and the train is 72 km/hr together. What is the average speed of the car and the train together?

A. 82 km/h
B. 72 km/h
C. 84 km/h
D. 67 km/h
E. None of these
Answer» D. 67 km/h
30.

In the school, Mohan and Govind took a part in the race and the ratio between their speeds is 5 : 7. Mohan losses the race by 360m then what is the length of the track (in km)?

A. 1.26 km
B. 1.2 km
C. 2 km
D. 0.9 km
E. None of these
Answer» B. 1.2 km
31.

A man starts from a place P and reaches the place Q in 7 hours. He travels 1/4 th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance, in kilometer, between P and Q is:

A. 70 km
B. 72 km
C. 80 km
D. 90 km
E. None of these
Answer» D. 90 km
32.

A Volvo tourist bus with only the driver inside has a speed of 80 kmph. Its maximum speed reduces by a quantity which is directly proportional to the number of passengers (excluding the driver) seated inside. The maximum speed of the bus reduces by 20 kmph, if there are 5 passengers. A maximum of how many passengers should be seated so that the bus can move?

A. 20
B. 19
C. 25
D. 17
E. None of these
Answer» C. 25
33.

The taxi charges in a city consist of fixed charges and additional charges per kilometer. The fixed charges are for a distance of up to 5 km and additional charges are applicable per kilometer thereafter. The charge for a distance of 10 km is Rs. 350 and for 25 km is Rs. 800. The charge for a distance of 30 km is-

A. Rs. 800
B. Rs. 750
C. Rs. 900
D. Rs. 950
E. None of these
Answer» E. None of these
34.

A driver of a auto rickshaw sees a lorry 60 meters ahead of him. After 30 seconds the lorry is 90 meters behind. If the speed of the auto rickshaw is 38 kmph, then what is the speed of the lorry?

A. 23 kmph
B. 25 kmph
C. 20 kmph
D. 18 kmph
E. None of these
Answer» D. 18 kmph
35.

The distance between Kanpur and Bangalore by flight is 1800 km. An aircraft was slowed down due to bad weather. The time of journey of Bangalore from Kanpur is increased by 30 minutes and the average speed for the journey was reduced by 300 km/h. What is the usual duration of the flight if there is no bad weather?

A. 3 hours 2
B. 4 hours 5
C. 6 hours 5
D. 2 hours 3
E. None of these
Answer» B. 4 hours 5
36.

P, Q and R start running around a circular field having circumference 88 metre at the same time from the same point. Speeds of P, Q and R are 4 m/minute, 8 m/minute and 11 m/minute. Find after how much time, they will meet again at the same point for the first time.

A. 88 minutes
B. 44 minutes
C. 40 minutes
D. 60 minutes
E. None of these
Answer» B. 44 minutes
37.

There is a race of 1 km among Hiten, Vikash and Priyank. Hiten and Vikash run 1 km and Hiten wins by 10 seconds. Hiten and Priyank run 1 km and Hiten wins by 125 mt. When Vikash and Priyank run a km, Vikash wins by 15 seconds. What is the ratio of time taken by Hiten and Vikash to run a km?

A. 38 : 31
B. 33 : 35
C. 35 : 37
D. 13 : 47
E. None of these
Answer» D. 13 : 47
38.

A beats B by 15 sec in a 200 m race, B beats C by 25 sec in a 500 m race, C beats D by 32 sec in 800 m race and D beats E by 35 sec in a 1 km race. What must be the speed of A in order to beat E by 800 m in a 2 km race?

A. 2.5 m/s
B. 3.33 m/s
C. 5 m/s
D. 6.66 m/s
E. None of these
Answer» C. 5 m/s
39.

Shivam travels 20% distance of the total journey by car and 50% of the remaining by train and taxi in the respective ratio of 5:3 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by Taxi is 126 km, then find the total distance which Shivam travels during his journey?

A. 360 km
B. 640 km
C. 420 km
D. 400 km
E. 210 km
Answer» B. 640 km
40.

A and B are two stations 1200 km apart. Train X starts from station A towards station B at 60 kmph 2 hours before train Y starts from station B towards station A. If they meet at a point 360 km from station B, What is the speed of Train Y?

A. 45 kmph
B. 90 kmph
C. 60 kmph
D. 30 kmph
E. None of these
Answer» E. None of these
41.

A motor car does a journey in 16 hours, covering the first half at 30 Km/hr and the second half at 50 Km/hr. What is the distance covered?

A. 480 km
B. 540 km
C. 500 km
D. 400 km
E. None of these
Answer» F.
42.

A car drove from Agra to Delhi without stopping. It covered the first 50 miles of its journey at an average speed of 25 mph. What was the car’s average speed (in mph), for the remaining 130 miles if its overall average speed was 45 mph?

A. 28
B. 40
C. 50
D. 65
E. None of these
Answer» E. None of these
43.

A person travelled 132 km by auto, 852 km by train and 248 km by bike. It took 21 hours in all. If the speed of train is 6 times the speed of auto and 1.5 times speed of bike, what is the speed of train?

A. 78 kmh-1
B. 104 kmh-1
C. 96 kmh-1
D. 88 kmh-1
E. None of these
Answer» D. 88 kmh-1
44.

A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5 km less in that time. Find the total distance covered by him.

A. 60 km.
B. 85 km.
C. 75 km.
D. 52 km.
E. None of these
Answer» D. 52 km.