If the average of 5 consecutive odd integers in increasing…

If the average of 5 consecutive odd integers in increasing order is 11, then the average of the last 3 of them is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 13

Let 5 consecutive odd numbers be x, x + 2, x + 4, x + 6, x + 8

ATQ

$\dfrac{x + x + 2 + x + 4 + x + 6 + x + 8}{5}$ = 11

5x + 20 = 55

5x = 35

x = 7

The last three numbers are = 7 + 4, 7 + 6, 7 + 8

=11, 13, 15

Average = $\dfrac{11 + 13 + 15}{3}$

= 13

SSC GD 2021 PYQ — Question 53