Subject

Mathematical Problems

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Quizzes in Mathematical Problems

The average height of 35 girls in a class was calculated as 160 cm. It was later found that the height of one of the girls in the class was wrongly written as 144 cm, whereas her actual height was 104 cm. What is the actual average height of the girls in the class? (rounded off to 2 digits after decimal)

Correct answer(s):
    • 158.86 cm

The speed of a railway engine is 42 km/hr when no compartment is attached and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 km/hr with 9 compartments attached, the maximum number of compartments that the engine can pull is?

Correct answer(s):
    • 48

A distance of 425 km separates two trains moving towards each other at a speed of 200 km/hr each. What will be the distance between them after 1 hr 30 min, if they reduce their speed by half, every half an hour?

Correct answer(s):
    • 75 km

Two boys A and B start at the same time to ride from Delhi to Meerut, 60 km away. A travels 4 km an hour slower than B, B reaches Meerut and at once turns back meeting A, 12 km from Meerut. A’s rate was?

Correct answer(s):
    • 8 km/hr

The ratio of the speeds 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 What is the average speed of the car and the train together?

Correct answer(s):
    • 84 km/hr

A flight of Jet Airways from Delhi to Mumbai has an average speed of 700 km/hr without any stoppage … What is the average stoppage time per hour of a kingfisher flight if both planes fly at the same speed?

Correct answer(s):
    • 12 min

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

Correct answer(s):
    • 100 m

The average speed of a bus is one-third of the speed of a train. The train covers 1125 km in 15 hours. How much distance will the bus cover in 36 minutes?

Correct answer(s):
    • 15 km

An airplane flies twice as fast as a train which covers 60 miles in 80 minutes. What distance will the airplane cover in 20 minutes?

Correct answer(s):
    • 30 miles

Ramesh is walking at a speed of 10 kilometers per hour. After every kilometer, he takes rests for 5 minutes. The time taken to cover a distance of 5 kilometers Ramesh is?

Correct answer(s):
    • 50 minutes

A person wishes to reach his destination 90 km away in 3 hours … His average speed for the rest of the journey should be?

Correct answer(s):
    • 1 km/min

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman chase him. The thief and the policeman run at the speed of 10 km/hr and 11 km/hr respectively. What is the distance between them after 6 minutes?

Correct answer(s):
    • 100 m

A and B start from the same point and in the same direction at 7 a.m. to walk around a rectangular field (400 m ☓ 300 m). A and B walk at the rate of 3 km/hr and 2.5 km/hr respectively. How many times shall they cross each other if they continue to walk till 12 : 30 p.m.?

Correct answer(s):
    • Once

Anna left for city A from B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hours 15 minutes. After that, the speed was reduced to 60 km/hr. if the distance between the two cities is 350 km, at what time did Anna reach city A?

Correct answer(s):
    • 10.25 a.m.

A train travels at a speed of 30 km÷hr for 12 minutes and at a speed of 45 km÷hr for the next 8 minutes. The average speed of the train for this journey is?

Correct answer(s):
    • 36 km/hr

Rani goes to school from her house in 30 minutes. Raja takes 45 minutes in covering the same distance. Find the ratio between the time taken by Rani and Raja.

Correct answer(s):
    • 2 : 3