Question

The sum of three alternate even numbers is 24 more than their average. What will be half of the third number in the sequence?

• A. 12
• B. 16
• C. 8
• D. 14
• E. Cannot be determined

Answer 1

The correct option is C 8

Let the three numbers be = (x - 4), x and (x + 4)
It is given that x - 4 + x + x + 4 = 3x = x + 24
$\Rightarrow$ x = 12
Therefore, half of third number will be = $\frac{1}{2}$ $\times$ 16 = 8