Explore topic-wise MCQs in Maths.

This section includes 145 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

51.

A motor car finishes a journey in 10 hours. The first half at 21 km/hr. and the rest at 24 km/hr. Find the distance?

A. 220 km
B. 224 km
C. 220 km
D. 232 km
Answer» C. 220 km
52.

A racing car going at an average speed of 108 km/ hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (in km/hr) to complete the lap in 12 minutes?

A. 24
B. 21
C. 27
D. 30
Answer» D. 30
53.

A person started his journey in the morning. At 11.a.m he covered of the journey and on the same day at 4.30 p.m. he covered of the journey. He started his journey at?

A. 6.00 a.m.
B. 3.30 a.m.
C. 7.00 a.m.
D. 6.30 a.m.
Answer» E.
54.

A 280-m-long train takes 20 sec to cross a person who is going in the same direction with the speed of 6 km/h. After crossing that person, the train can reach next station in 45 min. How long will that person take to reach the station after being crossed by train?

A. 7 hr 3 min
B. 6 hr 3 min
C. 7 hr 30 min
D. 7 hr 50 min
E. 6 hr 30 min
Answer» B. 6 hr 3 min
55.

The distance between two stations S1 and S2 is 640 km. A train J starts at 5 pm from S1 and moves towards S2 at an average speed of 80 km/h. Another train K starts from S2 at 4 : 20 pm and moves towards S1 at an average speed of 100 km/hr. How far from S1 will the two trains meet?

A. 248.18 km
B. 278.48 km
C. 276.38 km
D. 254.81 km
E. 268.18 km
Answer» E. 268.18 km
56.

Two trains are moving in the same direction at 75 km/hr. and 48 km/hr. The faster train crosses a man sitting in the slower in 14 second. Find the length of the faster train?

A. 105 m
B. 115 m
C. 125 m
D. 215 m
Answer» B. 115 m
57.

A man is walking at a speed of 12 km / h. After every kilometer he relaxes for 4 minutes. How much time (in minutes) will it take to cover a distance of 8 kilometers?

A. 64
B. 68
C. 60
D. 72
Answer» C. 60
58.

The no of revolutions a wheel of diameter 40cm makes in travelling a distance of 176m is

A. 340
B. 240
C. 140
D. 40
Answer» D. 40
59.

The bus fare between two cities is increased in the ratio 17:20. Find the increase in the fare, if the original fare is Rs. 425

A. Rs 500
B. Rs 75
C. Rs 100
D. Rs 200
Answer» C. Rs 100
60.

A missile travels at 1422 km/h. How many metres does it travel in one second?

A. 400 metres
B. 364 metres
C. 319 metres
D. 395 metres
Answer» E.
61.

A takes twice as much time as B and thrice as much as c to complete a piece of work. They together complete the work in 1 day. in what time, will A alone complete the work.

A. 9 days
B. 5 days
C. 6 days
D. 4 days
Answer» D. 4 days
62.

A person travels 600 km by train at 80 km/hr 800 km by ship at 400 km/ hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance?

A. $$ 65{5 over 123} km.hr$$
B. $$ 130{10 over 23} km.hr$$
C. $$ 60{5 over 123} km.hr$$
D. 62 km.hr
Answer» C. $$ 60{5 over 123} km.hr$$
63.

A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximate:

A. 10.4 km / hr
B. 10.8 km / hr
C. 11.0 km / hr
D. 12.2 km / hr
Answer» C. 11.0 km / hr
64.

A runner starts running from a point at 6:00 am with a speed of 8km / hr. Another racer starts from the same point at 8:30 am in the same direction with a speed of 10km / hr. At what time of the day (in P.M.) will the second racer will overtake the other runner?

A. 8 : 00
B. 4 : 00
C. 6 : 30
D. 5 : 30
Answer» D. 5 : 30
65.

In a 100 m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 kmph, then the speed of Bimal is

A. 15.4 kmph
B. 14.5 kmph
C. 14.4 kmph
D. 14 kmph
Answer» D. 14 kmph
66.

A distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is

A. 1 : 4
B. 4 : 1
C. 1 : 2
D. 2 : 1
Answer» B. 4 : 1
67.

A can give 40 meters start to B and 70 meters to C in a race of one kilometer how many meters start can B give to C in a race of one kilometer?

A. 30 meter
B. $${700 over 29} meter$$
C. $$31{1 over 4} meter$$
D. 32 meter
Answer» D. 32 meter
68.

Vipin swims in a 72 meter long pond. He travels 144 meters in one minute by swimming from one end to the other and coming back the same way, find his average speed.

A. $$ {2.4 m/sec^{2}}$$
B. $$ {2.1 m/sec^{2}}$$
C. $$ {3.4 m/sec^{2}}$$
D. $$ {2.0 m/sec^{2}}$$
Answer» B. $$ {2.1 m/sec^{2}}$$
69.

It takes 53 seconds to cross a pole at the end of a 110-meter-long train with a speed of 36 km / h. Find the initial distance of the pole from its front end.

A. 530 meter
B. 420 meter
C. 1798 meter
D. 640 meter
Answer» C. 1798 meter
70.

A train travelling at the speed of 50 kmph leaves from a station. Another train travelling at speed of 60 kmph leaves the same station after 7 hours in the same direction. They will meet after what distance?

A. 1800 km
B. 2400 km
C. 2100 km
D. 2700 km
E. None of these
Answer» D. 2700 km
71.

Two trains of length 120 m and 90 m respectively with the same speed pass a static pole in 8 seconds and 6 seconds respectively. In what time they will cross each other if they are moving in opposite directions?

A. 14 seconds
B. 6 seconds
C. 20 seconds
D. 7 seconds
E. None of these
Answer» E. None of these
72.

Ajay covers distance by car driving at 60 kmph and returns back to the starting point riding on a scooter at 45 kmph. What is his average speed?

A. 50.12 km
B. 50.6 km
C. 51.52 km
D. 51.42 km
E. None of these
Answer» E. None of these
73.

A boat running downstream covers 28 km in 7 hours, while for covering the same distance upstream it takes 14 hours. What is the speed of the boat in still water?

A. 4 kmph
B. 3 kmph
C. 4.2 kmph
D. 5 kmph
E. 6 kmph
Answer» C. 4.2 kmph
74.

Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?

A. 10 seconds
B. 12 seconds
C. 18 seconds
D. 14 seconds
E. 9 seconds
Answer» B. 12 seconds
75.

The speed of a boat in still water is 20 kmph and the rate of current is 4 kmph. The distance travelled by the boat downstream in 30 minute is

A. 10 km
B. 12 km
C. 16 km
D. 15 km
E. 8 km
Answer» C. 16 km
76.

In a kilometer race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?

A. 135 seconds
B. 120 seconds
C. 165 seconds
D. 155 seconds
Answer» B. 120 seconds
77.

A man sets out on a journey. He travelled for a total of 16 hours. He covered the first half of the distance at a speed of 40 km / h and the second half at 60 km / h. What is the total distance he travelled?

A. 384 km
B. 768 km
C. 576 km
D. 960 km
Answer» C. 576 km
78.

The ratio of the speeds of the two airplanes is 7:15. If the first airplane covers a distance of 1050 km in 3 hours, what is the speed of the second airplane?

A. 675 km/hour
B. 750 km/hour
C. 900 km/hour
D. 720 km/hour
Answer» E.
79.

An aeroplan covers a certain distance at a speed of 240 km/hour in 5 hours. To cover the same distance in $$ 1{2 over3} $$ hours it must travel at a speed of:

A. 300 km/ hr.
B. 360 km/ hr.
C. 600 km/ hr.
D. 720 km/ hr.
Answer» E.
80.

One third of a certain journey is covered at the speed of 40 km/hr, one fourth at the speed of 25 km/hr and the rest at the speed of 50 km/hr. what will be the average speed(in km/hr) for the whole journey?

A. 37.5
B. 33.5
C. 33.33
D. 38.33
Answer» B. 33.5
81.

A car running at 7/11 of its own speed reached a place in 22 hrs. How much time could be saved if the car would run at its own speed?

A. 14 hrs
B. 7 hrs
C. 8 hrs
D. 16 hrs
Answer» D. 16 hrs
82.

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. 3 hours
B. 5 hours
C. 6 hours
D. 4 hours
Answer» E.
83.

A train covers 450 km in 6 hours. The speed of bike is half of the speed of train. How much time will the bike take to cover the distance of 300 km?

A. 6 hr
B. 7.5 hr
C. 7 hr
D. 10 hr
E. 8 hr
Answer» F.
84.

Akhil after travelling 50 km meets Raju who suggests him to go slower. He then proceeds at of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further Akhil would have reached its destination 25 minutes late. What is the initial speed of Akhil?

A. 48 kmph
B. 36 kmph
C. 24 kmph
D. 20 kmph
Answer» B. 36 kmph
85.

A boat travels 10.8 km upstream in 36 minutes. If the speed of the boat is 21 kmph find how much distance the boat will travel in 28 minutes downstream.

A. 12 km
B. 11.2 km
C. 13.2 km
D. 11 km
E. None of these
Answer» C. 13.2 km
86.

Akshita is at Delhi and Rajat is at gurgaon. Started towards each other, if the ratio of their speed be 8 : 13 respectively then what is the ratio of distance covered by A and B respectively till the point of meeting?

A. 13 : 8
B. 8 : 13
C. 4 : 5
D. 13 : 4
Answer» C. 4 : 5
87.

A man travelled a distance of 60 kms in 10 hours . He travelled partly on foot at 5 kms per hour and partly on bicycle at 7 kms per hour . What is the distance travelled on foot ?

A. 20 km
B. 25 km
C. 15 km
D. 30 km
Answer» C. 15 km
88.

A man starts from his house and travelling at 30 km/h, he reaches his office late by 10 minute, and travelling at 24 km/h, he reaches his office late by 18 minutes. The distance (in km) from his house to his office is:

A. 12
B. 20
C. 16
D. 18
Answer» D. 18
89.

A is twice as fast as B and B is thrice as fast as C. The Journey covered by C in 42 minutes will be covered by A in.

A. 28 min
B. 7 min
C. 63 min
D. 14 min
Answer» C. 63 min
90.

Hema takes a total of 9 hours 55 min to walk a certain distance and then cycling back to the same place from where she had started. She could walk both ways in 12 hours 30 min. The time she will take to cycle both ways is:

A. 7 hours 20 min
B. 7 hours 15 min
C. 7 hours 45 min
D. 7 hours 35 min
Answer» B. 7 hours 15 min
91.

Vishnu travelled equal distances at speeds of 10 km/hr, 30 km/hr and 8 km/hr and took a total of 15.5 minute to complete. Find the total distance he travelled in km.

A. 2
B. 3
C. 1
D. 4
Answer» C. 1
92.

Travelling at 80km/hr, Praveen reaches his destination at a certain time. He covers 3/5th of his journey in 2/5th at the time. At what speed (in km/hr) should he travel to cover the remaining journey, so as to reach his destination on time?

A. 170/3
B. 140/3
C. 150/3
D. 160/3
Answer» E.
93.

Pranav rows upstream a distance of 56km in 8 hours and rows downstream a distance of 75 km in 3 hours. How much time he will take to row a distance of 44.8 km in still water?

A. 2.8hr
B. 2.44hr
C. 2.2hr
D. 3.2hr
Answer» B. 2.44hr
94.

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards Bat 60 km / hr. Another train starts from Bat 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?

A. 10 : 00 am
B. 10 : 30 am
C. 11 : 00 am
D. 11 : 30 am
Answer» D. 11 : 30 am
95.

Nihal walks with 12 km/h after every km, he takes the rest for 12 min after every kilometer. How much time will he take to cover 36 km distance.

A. 10 hrs
B. 7:12 hrs
C. 10 hrs 12 min
D. 3 hrs
Answer» B. 7:12 hrs
96.

Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hour and 40 km/hour respectively. By the time they met the first train had travelled 100 km more than the second. Find the distance between P and Q?

A. 500 km
B. 630 km
C. 660 km
D. 900 km
Answer» E.
97.

A train of length 212 meter is running at 45 km/h. In what time (in seconds) will it cross a platform of length 188 meter?

A. 32
B. 40
C. 42
D. 36
Answer» B. 40
98.

A man walks a certain distance and rides back in 4 hours 30 minutes. he could ride both ways in 3 hours. The time required by the man to walk both ways is

A. 5 hours
B. 6 hours
C. 4 hours 30 minutes
D. 4 hours 45 minutes
Answer» C. 4 hours 30 minutes
99.

In a 200 meter race, Ram beats Shyam by 35 meter or 7 seconds. What is Ram s time over the course?

A. 34 second
B. 33 second
C. 36 second
D. 40 second
Answer» C. 36 second
100.

A man rides his vehicle at the rate of 36 km/hr but stops for 12 minutes, to change parts at the end of every 14th km,what will be the timed taken to cover a distance of 90 km?

A. 6 hours 12 minutes
B. 2 hours 30 minutes
C. 3 hours 42 minutes
D. 5 hours 32 minutes
Answer» D. 5 hours 32 minutes