Question

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

Statement 2: Product of two integers with different signs 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, then one integer is positive and the other one is negative.
The product of the two integers will be negative
For example
$+3\times -3=-9$
and $-3\times +3=-9$