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Mathematics Mcqs

If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________?

Mathematics Mcqs, Problems on Numbers /
If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________?

A. 9
B. 12
C. 15
D. 18
Let the numbers be x and y.
Then, x + y = 33     …(i)
and x – y = 15     …(ii)
Solving (i) and (ii), we get : x = 24, y = 9.
∴ Smaller number = 9.

If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________? Read More »

Mathematics Mcqs, Problems on Numbers

A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?

Mathematics Mcqs, Time & Distance Mcqs /
A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?

A. 3 km
B. 4 km
C. 5 km
D. 6 km

A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office? Read More »

Mathematics Mcqs, Time & Distance Mcqs

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

Mathematics Mcqs, Time & Distance Mcqs /
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

A. 121 km
B. 242 km
C. 224 km
D. 112 km

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km. Read More »

Mathematics Mcqs, Time & Distance Mcqs

A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking.

Mathematics Mcqs, Time & Distance Mcqs /
A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking.

A. 10 km
B. 8 km
C. 12 km
D. 9 km

Let the distance covered by walking be x km
the distance covered by running be (20-x) km Time for walking + time for running = 3.5 hours (x/4)+[(20-x)/10]=3.5 Solving,
5x+40-2x = 70
3x=30
x=10km

A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking. Read More »

Mathematics Mcqs, Time & Distance Mcqs

Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?

Mathematics Mcqs, Time & Distance Mcqs /
Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?

A. 17:13
B. 17:30
C. 13:30
D. None of these

Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds? Read More »

Mathematics Mcqs, Time & Distance Mcqs

Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

Mathematics Mcqs, Time & Distance Mcqs /
Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

A. 1 hr 42 min
B. 1 hr
C. 2 hr
D. 1 hr 12 min
New speed = 6/7 of usual speed
Speed and time are inversely proportional.
Hence new time = 7/6 of usual time
Hence, 7/6 of usual time – usual time = 12 minutes
=> 1/6 of usual time = 12 minutes
=> usual time = 12 x 6 = 72 minutes
= 1 hour 12 minutes

Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance? Read More »

Mathematics Mcqs, Time & Distance Mcqs

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

Mathematics Mcqs, Time & Distance Mcqs /
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 12
B. 11
C. 10
D. 9
speed of the bus excluding stoppages = 54 kmph
speed of the bus including stoppages = 45 kmph
Loss in speed when including stoppages = 54 – 45 = 9kmph
=> In 1 hour, bus covers 9 km less due to stoppages
Hence, time that the bus stop per hour = time taken to cover 9 km
=distance/speed=9/54 hour=1/6 hour = 60/6 min=10 min

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Read More »

Mathematics Mcqs, Time & Distance Mcqs

There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole?

Mathematics Mcqs, Time & Distance Mcqs /
There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole?

A. 39 seconds
B. 40 seconds
C. 39.38 seconds
D. 39.5 seconds
The first pole is crossed at the zeroth second. The timer starts after the car crosses the first pole. Let the distance between each pole be x m. To reach the 16th pole, the distance travelled by the car is 15x. The speed of the car is 15x/30 = x/2 m/s To reach the 21st pole, it has to travel a distance of 20x. Time taken
= 20x÷(x/2)
= 40 seconds

There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole? Read More »

Mathematics Mcqs, Time & Distance Mcqs