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MATH Ability

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Q.1 : A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
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Q.2 : Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
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Q.3 : The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
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Q.4 : A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
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Q.5 : A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
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Q.6 : A train running at the speed of 90 km/hr crosses a vertical pole having height 10 meter in 6 seconds. What is the length of the train?
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Q.7 : P is four times as good as workman as Q and therefore is able to finish a job in 40 days less than Q. Working together, they can do it in:
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Q.8 : P, Q and R can do a piece of work in 40, 60 and 120 days respectively. In how many days can P do the work if he is assisted by Q and R on every fourth day?
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Q.9 : P can lay railway track between two given stations in 20 days and Q can do the same job in 15 days. With help of R, they did the job in 6 days only. Then how much time is taken by R alone to do this job?
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Q.10 : P can do a work in 30 days and Q in 40 days. If they work on it together for 8 days, then the fraction of the work that is left is :
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