### Q.

# The sum of four consecutive even numbers is 100. What is the sum of the squares of these numbers?

A
2430

B
2484

C
2520

D
2655

Answer & Explanation
Option: [C]

Let the four consecutive even numbers be (x-2), x, (x+2) and (x+4) respectively.

Then, (x-2)+x+(x+2)+(x+4) = 100

4x + 4 = 100

x = 24

Hence the numbers are 22, 24, 26 and 26

The sum of their squares

= 22^{2} + 24^{2} + 26^{2} + 28^{2}

= 2520

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