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A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.

A jar full of whiskey contains 40 alcohol. A part of this whisky is replaced by another containing 19 alcohols and now the percentage of alcohol was found to be 26. The quantity of whisky replaced of whisky replaced is

A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled

Find the length of the longest pole that can be placed in a room 12m long 8m broad and 9m high.

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm x 15 cm, find the rise in water level.