Question

If $a,b,c,d$ are non-zero integers such that $a<b<c<d$ and mean and median of $a,b,c,d$ are both equal to zero, then which one of the following is correct?

• A. $b=-c$
• B. $a=-d$
• C. both $\left(a\right)$ and $\left(b\right)$
• D. none of these

Answer 1

The correct option is C both $\left(a\right)$ and $\left(b\right)$

It is given that both the mean and the median of given data are zero.

$\therefore \frac{a+b+c+d}{4}=0$ and $\frac{b+c}{2}=0$

$\Rightarrow a+b+c+d=0$ and $b+c=0$

$\Rightarrow a=-d$ and $b=-c$