Correct Answer - Option 1 : 60
Given
Average of five consecutive even numbers = 56
Formula used
Average = (sum of all observation)/Number of observation
Calculation
Let the five even numbers are x, x + 2, x + 4, x + 6 and x + 8
Average = (x + x + 2 + x + 4 + x + 6 + x + 8)/5
⇒ 56 = (5x + 20)/5
⇒ 280 = 5x + 20
⇒ 280 - 20 = 5x
⇒ 260 = 5x
⇒ 260/5 = x
⇒ 52 = x
∴ Largest number is 60[i.e (52 + 8)]