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

Answer 1

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,
$(+3)\times (+3)=(+9)$
If both the integers are negative, then their product is still positive.
For example,
$(-3)\times (-3)=+9$

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,
$(+3)\times (-3)=-9$
and $(-3)\times (+3)=-9$

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