If x and y are two integers, which of the following is not necessarily an integer?

x + y

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x - y

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x/y

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Solution

The correct option is D x/y
When two integers are added or subtracted or multiplied, the resulting number is another integer. But when one integer is divided by another, the result need not be an integer.
For example, if x = 2 and y = 3, then
x + y = 2 + 3 = 6 (integer)
x - y = 2 - 3 = -1 (integer)
xy = 2 x 3 = 6 (integer).
But, x/y = 2/3 is not an integer.

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Question : 8

For any two integers $x a n d y$ , which of the following suggests that operation of addition is commutative ?

(a) $x + y = y + x$

(b) $x + y > x$

(d) $x y = y x$

Question : 8

For any two integers $x a n d y$ , which of the following suggests that operation of addition is commutative ?

(a) $x + y = y + x$

(b) $x + y > x$

(d) $x y = y x$

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