Question

If the average of 4 consecutive odd numbers is 10 then find the largest odd number.

1. 7
2. 9
3. 11
4. 13

Answer 1

Correct Answer - Option 4 : 13

Given:

Average of 4 consecutive odd numbers = 10

Formula used:

Average = Sum of all the observations/Number of observations

Calculations:

Let the first odd number be n

⇒ [n + (n + 2) + (n + 4) + (n + 6)]/4 = 10

⇒ n + (n + 2) + (n + 4) + (n + 6) = 40

⇒ 4n + 12 = 40

⇒ 4n = 28

⇒ n = 7

The largest odd number = n + 6

⇒ 7 + 6

⇒ 13

∴ The largest odd number is 13