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.

101.

A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is:

A. 28 : 25
B. 56 : 25
C. 25 : 28
D. 25 : 26
Answer» B. 56 : 25
102.

The two trains cross each other in 12 seconds, moving in the opposite direction, and they take 60 seconds to travel in the same direction. both trains can have speed in (m/sec).

A. 18, 40
B. 20, 30
C. 15, 30
D. 15, 45
Answer» C. 15, 30
103.

A and B are 2 cities 60 Km. apart. Two men P and Q start together to walk from A to B. Speed of P is 4 Km / hr. less than that of Q. Q reaches the city B and return back . He meets P at 12 Km away from city B. What is the speed of P?

A. 8 Km/hr
B. 12 Km/hr
C. 16 Km/hr
D. 20 Km/hr
Answer» B. 12 Km/hr
104.

Two cars travel from city A to city B at a speed of 36 and 48 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

A. 518 km
B. 648 km
C. 432 km
D. 346 km
Answer» D. 346 km
105.

The ratio between speed of boat in down stream and speed of stream is 9 : 1. If the speed of current is 3 km/hr, then find the distance travelled in upstream in 5 hours.

A. 105 km
B. 120 km
C. 110 km
D. can't be determined
E. None of these
Answer» B. 120 km
106.

A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is:

A. 25
B. 40
C. 20
D. 35
Answer» C. 20
107.

Ram travelled 1200 km by air which is formed of his trip. He travelled one-third of the trip by car and the rest by train. The distance (in km) travelled by train was

A. 480
B. 800
C. 1800
D. 1600
Answer» C. 1800
108.

The speed of a bus Excluding stoppages, is 80 kmph and including stoppages, it is 72 kmph. For how many minutes does the bus stop per hour?

A. 12
B. 18
C. 7
D. 6
Answer» E.
109.

29 boys are standing in a line such that distance between any two consecutive boys is same . A teacher takes 7 seconds to reach from first boy to 15th boy. How much more time (in seconds) will he take to reach the 22 boys?

A. 3.5
B. 4
C. 2.5
D. 3
Answer» B. 4
110.

A man cover a certain distance in 3 hours 36 minute if he walks at the rate of 5 km/hr. If he covers the same distance on cycle at the rate of 24 km/hr, then the time taken by him in minute is__

A. 40
B. 45
C. 50
D. 55
Answer» C. 50
111.

Anurag can walk a certain distance in 52 days when he rest 10 hours a day, how long will he take for twice the distance, If he walks twice as fast and rests twice as long each day?

A. 160
B. 182
C. 170
D. 180
Answer» C. 170
112.

A and B started travelling towards each other at the same time, from Place X to Y and Y to X, respectively. After crossing each other, A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the speed (in km/h) of A?

A. 10.8
B. 11.7
C. 12.6
D. 9.9
Answer» B. 11.7
113.

A bus can cover a distance of 420 km in 7 hours. How much will the speed have to be increased to cover this distance in 6 hours?

A. 7. 5 km/h
B. 8 km/h
C. 5 km/h
D. 10 km/h
Answer» E.
114.

The ratio of the speeds of the two airplanes is 11: 18. If the first airplane covers a distance of 1650 km in 3 hours, then what is the speed (m / s) of the second airplane?

A. 270
B. 200
C. 250
D. 225
Answer» D. 225
115.

Ram walks a certain distance and rides back taking a total time of 37 minutes. Ram could walk both ways in 55 minutes. How long would it take Ram to ride both ways?

A. 19.5 minute
B. 29 minute
C. 17 minute
D. 19 minute
Answer» E.
116.

Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?

A. 15 kmph
B. 35 kmph
C. 30 kmph
D. 25 kmph
E. 20 kmph
Answer» F.
117.

A passenger train leaves Calcutta at 4 PM and travels at the rate of 30 kilometres an hour. The mail train leaves Calcutta at 9 PM and travels, on a parallel line of rails, at the rate of 45 km an hour, when will the second train overtake the first?

A. 10 hrs after the first train start
B. 12 hrs after the second train starts
C. 10 hrs after the second train starts
D. 12 hrs after the first train starts
E. None of these
Answer» D. 12 hrs after the first train starts
118.

Two places P and Q are 92 km apart. A train leaves P for Q and at the same time another train leaves Q for P. Both the trains meet 4 hrs after they start moving. If the train travelling from P to Q travels 7 km/hr faster than the other train, find the speed of the two trains.

A. 15 km/hr, 8 km/hr
B. 12 km/hr, 8 km/hr
C. 12 km/hr, 9 km/hr
D. 15 km/hr, 9 km/hr
E. None of these
Answer» B. 12 km/hr, 8 km/hr
119.

A is thrice as efficient as B. A started working and after 4 days he was replaced by B. B then worked for 15 days and left. If A and B together finished 75% of the total work, in how many days B alone can finish the whole work ?

A. 27
B. 45
C. 24
D. 36
E. 42
Answer» E. 42
120.

A man travel from A to B at 20 km/Hr. and come back from B to A at 30 km/hr. Find the average speed of the whole journey.

A. 23
B. 21
C. 24
D. 25
Answer» D. 25
121.

Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 5 hours less than the first for the journey, the length of the journey is:

A. 900 km
B. 945 km
C. 990 km
D. 1350 km
Answer» D. 1350 km
122.

At an average of 80 km/hr Shatabdi Express reaches Ranchi from Kolkata in 7 hrs. Then the distance between Kolkata and Ranchi is

A. 560 km
B. 506 km
C. 560 km
D. 650 km
Answer» B. 506 km
123.

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If covers the same distance in 12 hours, what will be its speed?

A. 65 km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h
Answer» D. 80 km/h
124.

A car can finish a certain journey in 10 hours at a speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must be increased by:

A. 12
B. 15
C. 18
D. 24
Answer» D. 24
125.

Speed of boat in downstream and upstream are 32km/hr and 23km/hr. Find the speed of current ?

A. 1.45 m/s
B. 1.25 m/s
C. 1.35 m/s
D. 2 m/s
Answer» C. 1.35 m/s
126.

A train travels the distance between station P and Q at a speed of 126 km/h, while in the opposite direction it comes back at 90 km/h. Another train travels the same distance at the average speed of the first train. The time taken by the second train to travel 525 km is:

A. 5 hours
B. 4 hours 20 min
C. 5 hours 20 min
D. 4 hours
Answer» B. 4 hours 20 min
127.

A train after travelling 150 Km. meets with an accident and then proceeds with 3/5 of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 Km. farther, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

A. 840 Km
B. 960 Km
C. 870 Km
D. 1100 Km
Answer» D. 1100 Km
128.

A travels 20 km with a speed of 40 km/hr. He travels another 45 km with a speed of 15 km/hr. what is his average speed for the entire journey?

A. 16 km/hr.
B. 22 km/hr.
C. 18.5 km/hr.
D. 21.3 km/hr.
Answer» D. 21.3 km/hr.
129.

A cyclist cycles 8 km at 15 km/hr and a further 4 km at 20 km/hr. Find the average speed in km/hr.

A. 16.8
B. 16.36
C. 15.71
D. 17.50
Answer» C. 15.71
130.

A bus can travel $$ 12{2 over5}$$ Km in one hour. How much distance will it cover in $$ 2{3 over4}$$ hours?

A. 3.41 km
B. 34.1 km
C. 341 km
D. 0.341 km
Answer» C. 341 km
131.

A car travelled 80% of the distance from town A to B by traveling at T hours at an average speed of V km/h. The car travels at an average speed of S km/h for the remaining part of the trip. Which of the following expressions represents the average speed for the entire trip?

A. 12VS/(9V+S)
B. 5VS/(4S+V)
C. VT/3S
D. 9VS/(4S+V)
E. None of these
Answer» C. VT/3S
132.

A man left 9 minutes early than the scheduled time and in order to reach the destination 378 km away in time, it has to slow its speed by 6 km/h from the usual. What is the usual speed (in km/hr.) of the man?

A. 56
B. 63
C. 94.5
D. 126
Answer» E.
133.

Vaishnavi and Saurabh start moving at the same time from city A to city B, 60 km away. Vaishnavi travels 4 km/hr slower than Saurabh. Saurabh reaches city B and at once turns back meeting Vaishnavi, 12 km from city B. What is the speed of Vaishnavi ?

A. 16 km
B. 18 km
C. 8 km
D. 20 km
Answer» D. 20 km
134.

A man sets out on a journey. He traveled for a total of 16 hours. He covered the first half of the distance at a speed of 40 km per hour and the second half at a speed of 60 km per hour. How much distance did he cover?

A. 384 km
B. 768 km
C. 576 km
D. 960 km
Answer» C. 576 km
135.

In a 1500 m race, Chaitali beats Vrunali by 100 m and in 1200 m race, Vrunali beats Krutika by 75 m. If Chaitali and Krutika are compared, then for how much m Chaitali will beat Krutika in 900 m race?

A. 115 m
B. 112.5 m
C. 110 m
D. 120 m
E. 135 m
Answer» C. 110 m
136.

A person completes a journey of 30 km at a speed of 6 km / h and a journey of the remaining 40 km at a speed of 8 km / h. What is his average speed of travel for the entire journey?

A. 7 km/hour
B. $$ {6{4 over11}}{km/hour}$$
C. 8 km/hour
D. 7.5 km/hour
Answer» B. $$ {6{4 over11}}{km/hour}$$
137.

A man walking at a speed of 5 km / h crosses a bridge in 15 minutes, find the length of the bridge.

A. 600 meter
B. 750 meter
C. 1000 meter
D. 1250 meter
Answer» E.
138.

A 160-meter-long train running at a speed of 90 km/h crosses a platform is 18 s. What is the length of the platform in metre?

A. 210
B. 240
C. 290
D. 310
E. None of these
Answer» D. 310
139.

Vikram comes office 9:00 AM in office . His start his house on 8:30 Am by Bike. The Average speed of his bike is 50 Km/hours. The find the distance between office and his house.?

A. 25 Km
B. 50 km
C. 54 km
D. 20 Km
Answer» B. 50 km
140.

There are three athletes A, B and C at a same point. A starts running from a point at a speed of 40 m/min. After 5 minutes, B starts running after A with a speed of 50 m/min. Simultaneously, C also starts running after A at 60 m/min. What distance has C covered (in m) when he catches A?

A. 500/ 3
B. 1300/3
C. 700/3
D. 600
E. None of these
Answer» E. None of these
141.

Two bikers A and B start and ride at 75 km/hr and 60 km/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?

A. 60 km
B. 55 km
C. 45 km
D. 50 km
Answer» D. 50 km
142.

A plan flies a distance of 1800 km in 5 hours. What is its average speed in meters/second?

A. 200
B. 10
C. 20
D. 100
Answer» E.
143.

A man starts from his house with a speed of 60 km/hr towards a temple 45 km away from his house, but after every 10 minute he decrease his speed by 6 km/hr. Find the time required by him to reach the temple.

A. 60 min
B. 58 min
C. 56 min
D. 54 min
Answer» B. 58 min
144.

Two men start walking together to a certain destination, one at 6 km/hr and other at 7.5 km/hr. The later arrives an hour before the former. The distance is ?

A. 27 km
B. 15 km
C. 21 km
D. 30 km
E. 18 km
Answer» E. 18 km
145.

Travelling at 60 km/h, a person reaches his destination in certain time. He covers 60% of his journey in 2/5th of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time ?

A. 42
B. 40
C. 36
D. 48
Answer» C. 36