Question

$(n+3{)}^2-9=y$ and $n>0$

Column A: $n^2$

Column B: $y$

• A. The quantity in Column A is greater
• B. The quantity in Column B is greater
• C. The two quantities are equal
• D. The relationship cannot be determined from the information given

Answer 1

The correct option is B The quantity in Column B is greater

Given, ${(n+3)}^2-9=y$

$\Rightarrow n^2+2n+9-9=n^2+2n=y$.

Since $n>0$, $2n$ will be positive.

Therefore $n^2$ plus some positive quantity is equal to $y$.

So, $y$ is greater than $n^2$.

Therefore the quantity in $2^{nd}$ column is greater.

So, option $B$ is correct.