Problem Solving Quiz (maths) 2024 BA to Officer

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?

• 9

• 10

• 12

• 20

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

• 100 kmph

• 110 kmph

• 120 kmph

• 130 kmph

Udai travels half of his journey by train at the speed of 120 km/hr and rests half by car at 80 km/hr. What is the average speed?

• 106 kmph

• 100 kmph

• 96 kmph

• 90 kmph

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is

• 35.55 kmph

• 36 kmph

• 71 kmph

• 71.11 kmph

Shweta when increasing her speed from 24 km/hr to 30 km/hr she takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by Shweta?

• 100 km

• 110 km

• 120 km

• 130 km

A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

• 600m

• 750m

• 1000m

• 1250m

A man traveled from the village to the post-office 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 post-office from the village ?

• 40km

• 30km

• 20km

• 10km

Time is taken by two trains running in opposite directions to cross a man standing on the platform in 28 seconds and 18 seconds respectively. It took 26 seconds for the trains to cross each other. What is the ratio of their speeds?

• 2:3

• 3:2

• 1:4

• 4:1

It takes a 360 m long train 12 seconds to pass a pole. How long will it take to pass a platform 900 m long?

• 40s

• 42s

• 32s

• 50s

Two trains are moving in the same direction such that the faster train runs at 2.5 km/min and the slower train at 40 kmph, respectively. A person in the faster train observes that it takes 24 seconds to cross the slower train. The length of the slower train is......

• 567m

• 733.33m

• 724.50m

• 650m