TESTfunda - CAT Question of the Day 06-Oct-12

By Rajendar Bommidi - October 05, 2012

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06-Oct-12

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CAT Question of the Day

Let N be the smallest positive number such that N³ ends in 888. Find the sum of digits of N.

OPTIONS

	1)	12
	2)	17
	3)	8
	4)	19
	5)	None of these

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Tip of the Day

If the remainder when a polynomial f(x) is divided by binomial of the form (x – a) is R, then f(a) = R. This is also called the Polynomial Remainder Theorem.

Also, if (x – a) is a factor of f(x), then a will be a root of f(x). This is because, if (x – a) completely divides f(x) without leaving any remainder, then R = 0, and so f(a) = 0.

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Last year's Question of the day (05-Oct-11)

A number a is called automorphic if a² ends in a. Thus 5 is automorphic since 25 ends in 5. Similarly, 625² = 390625 and 625 is also automorphic.

Find the sum of all two digit numbers which are automorphic.

OPTIONS

	1)	99
	2)	100
	3)	101
	4)	111

discuss

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