## Some problems for IITJEE Foundation mathematics

**Problem 1.**

A cistern can be filled by two pipes in 33; if the larger pipe takes 15 minutes less than the smaller to fill the cistern, find in what time it will be filled by each pipe singly.

**Problem 2.**

By rowing half the distance and walking the other half, a man can travel 24 km. on a river in 5 hours with the stream, and in 7 hours against the stream. If there were no current, the journey would take 5 hours; find the rate of his walking, and rowing and the rate of the stream.

**Problem 3.**

Factorize:

**Problem 4:**

Find the fourth root of

**Problem 5:**

Find the sixth root of

More interesting stuff on IITJEE foundation maths later,

Nalin Pithwa

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