Question

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

Statement 2: Product of two integers with different signs is always a positive integer.

• 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

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 positive.
For example: $(-3)\times (-3)=(+9)$

$\therefore$ Statement 1 is correct.

But when signs are different, i.e. one integer is positive and the other one is negative, the product of the two integers will be negative.
For example: $(+3)\times (-3)=(-9)$

$\therefore$ Statement 2 is incorrect.