CAT Exam

Suppose half the people on a bus exit at each stop and no additional passengers board the bus. If on the Sixth stop the next to last person exits the bus, then how many people were on the bus?

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CAT Other Question

On the level ground, the angle of elevation of the top of the tower is 30degrees, on moving 20 metres nearer; the angle of elevation is 60degrees. Then the height of the tower is In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?