IBPS CLERK 2022: MATH QUIZ

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Question 1:

How many seconds will a $500 \mathrm{~m}$ long train take to cross a man walking with a speed of $3 \mathrm{~km} / \mathrm{hr}$ in the direction of the moving train, if the speed of the train is $63 \mathrm{~km} /$ hour?

Question 2:

A train crosses a platform in 60 seconds at a speed of 45 $\mathrm{km} / \mathrm{hr}$. How much time will it take to cross an electric pole if the length of the platform is 100 metres?

Question 3:

Two stations $\mathrm{A}$ and $\mathrm{B}$ are $95 \mathrm{~km}$ apart on a straight line. $\mathrm{A}$ train starts from $\mathrm{A}$ and travels towards $\mathrm{B}$ at speed of $35 \mathrm{~km} /$ hr. Another train, starting from B 30 minutes earlier, travels towards A at speed of $40 \mathrm{~km} / \mathrm{hr}$. When will the first train meet to the second train?

Question 4:

Two stations $\mathrm{A}$ and $\mathrm{B}$ are $60 \mathrm{~km}$ apart on a straight line. A train starts from A towards B at the rate of $20 \mathrm{~km} / \mathrm{hr} .3$ hours later another train starts from $\mathrm{B}$ and travels towards $\mathrm{A}$ at the rate of $25 \mathrm{~km} / \mathrm{hr}$. When will the first train meet to the second train?

Question 5:

Two good train each $500 \mathrm{~m}$ long are running in opposite direction on parallel tracks. Their speeds are $45 \mathrm{~km} / \mathrm{hr}$ and $30 \mathrm{~km} / \mathrm{hr}$ respectively. Find the time taken by the slower train to pass the driver of the faster one

Question 6:

Two trains, 130 and 110 metres long, while going in the same direction, the faster train takes one minute to pass the other completely. If they are moving in opposite direction, they pass each other completely in 3 seconds. Find the speed of trains.

Question 7:

How long does a train $110 \mathrm{~m}$ long running at the speed of 72 $\mathrm{km} /$ hour takes in crossing a bridge $132 \mathrm{~m}$ in length?

Question 8:

Two trains $100 \mathrm{~m}$ and $120 \mathrm{~m}$ long are running in the same direction with speeds of $72 \mathrm{~km} /$ hours and $54 \mathrm{~km} /$ hours. In how much time will the first train cross the second one?

Question 9:

A train passes a platform in 36 second and a man standing on the platform in 20 seconds. If the speed of the train is 54 $\mathrm{km} /$ hour, what is the length of the platform?

Question 10:

A train travelling at $48 \mathrm{kmph}$ crosses another train having half of its length and travelling in the opposite direction at $42 \mathrm{kmph}$, in 12 seconds. It also passes a railway platform in 45 seconds. The length of railway platform is:-