ABC26GN1565 · Average
Subject: General Aptitude · Chapter: Average · Exam: 2007 · Marks: · Difficulty:
$A, B, C$ 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
(e)None of these
Answer
Explanation
Let $x, x+2, x+4$ and $x+6$ represent numbers $A, B, C$ and $D$ respectively. Then, $\frac{x+(x+2)+(x+4)+(x+6)}{4}=65$ $$\begin{aligned} & \Rightarrow \quad 4 x+12=260 \\ & \Rightarrow \quad 4 x=248 \Rightarrow x=62 . \end{aligned}$$ So, $A=62, B=64, C=66, D=68$. $$\therefore \quad A \times D=62 \times 68=4216 \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.
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