# CAT 2000 | Question: 73

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$\text{A, B, C}$ are three numbers.
Let $@ \text{(A, B)} =$ average of $\text{A}$ and $\text{B}$,
$/ \text{(A, B)} =$ product of $\text{A}$ and $\text{B}$, and
$\text{X(A, B)} =$ the result of dividing $\text{A}$ by $\text{B}$

The sum of $\text{A}$ and $\text{B}$ is given by

1. $/(@\text{(A, B)}, 2)$
2. $X(@\text{(A, B)}, 2)$
3. $@(/\text{(A, B)}, 2)$
4. $@(X\text{(A, B)}, 2)$

## 2 Answers

$@(A,B)=\frac{A+B}{2}$

$/(@\text{(A, B)}, 2)=\frac{A+B}{2}*2=A+B$

Option $(A)$ is correct.

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