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Question

Statement 1: Product of two integers with same sign is always a positive integer.

Statement 2: Product of two integers with opposite sign is always a positive integer.

Choose the correct option:


A
Both the statements are correct.
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B
Both the statements are incorrect.
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C
Statement 1 is correct but statement 2 is incorrect.
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D
Statement 1 is incorrect but statement 2 is correct.
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Solution

The correct option is C Statement 1 is correct but statement 2 is incorrect.

When the signs of two integers are same, they can both be either positive or negative.
If both the integers are positive, then their product is positive.
For example,
(+3)×(+3)=(+9)
If both the integers are negative, then their product is still positive.
For example,
(3)×(3)=+9

But when signs are different, one integer is positive and the other one is negative.
The product of these two integers will always be negative.
For example,
(+3)×(3)=9
and (3)×(+3)=9

Therefore, Statement 1 is correct but statement 2 is incorrect.


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