The number that results when an integer is multiplied by itself CANNOT end in which of the following digits?

(A) 1
(B) 4
(C) 5
(D) 6
(E) 8

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Choice E
Level of difficulty E M H

The integers are the set of numbers .....-3, -2, -1, 0, 1, 2, 3.....Since the square of the negative integers will give the same result as the square of the positives, we need only be concerned with the set 0, 1, 2, 3.....

If you simply begin squaring the integers starting with 0, you will soon find that you never get a number ending in 8, or choice E.

For more practice with integer problems, go to Skill Set 23: Consecutive Integer Problems.

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