A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?

A. 3968 B. 4092 C. 4216 D. 4352 Answer: Option C
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Solution(By Apex Team)

Let x, x + 2, x + 4 and x + 6 represent numbers A, B, C and D respectively. Then, $\begin{aligned}&\Rightarrow\frac{x+(x+2)+(x+4)+(x+6)}{4}=65\\ &\Rightarrow4x+12=260\\ &\Rightarrow4x=248\\ &\Rightarrow x=62\\ &\text{So,}\ A=62,B=64,C=66,D=68\\ &\therefore A\times D=62\times68=4216\end{aligned}$

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