If a and b are two integers, then which of the following may not be an integer?

(a) $a + b$
(b) $a - b$
(c) $a \times b$
(d) $a \div b$

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Solution

Addition, subtraction and multiplication of two or more integers is always an integer. But, division of two or more integers may or may not be an integer.
e.g. $2 \div 3 = \frac{2}{3}$ (not an integer)
$3 \div 3 = 1$ (integer)

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(c) $a \times b$
(d) $a \div b$

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