Question

If $p+q=k,p-q=n$ and $k>n$, then $q$ is ________ .

• A. positive
• B. negative
• C. $0$
• D. none of the above

Answer 1

The correct option is A positive

$p+q=k$ ------- (1)
$p-q=n$ ------- (2)
Subtracting (2) from (1),
$2q=(k-n)$
Since $k>n$,
$(k-n)$ is positive, therefore, $q=\frac{k-n}{2}$, which is positive