Question

$80,80,84,85,88,92,97,98$
The average (arithmetic mean) of the $8$ numbers listed above is $88$. Of the following, which pair of numbers could be removed from the list without changing the average?

• A. $80$ and $97$
• B. $80$ and $98$
• C. $84$ and $92$
• D. $84$ and $97$

Answer 1

The correct option is C $84$ and $92$

Given that we should remove a pair of numbers such that the average of remaining numbers should be $88$.

Inorder to do that, we must choose those two numbers such that the sum of those two numbers must be $88\times 2=176$.

Therefore the two numbers are $84$ and $92$.