The average of five consecutive integers is X. If the next two numbers are added, how shall the average vary?

A It shall increase by 1

B It shall increase by 1.4

C It shall increase by 2

D It shall remain the same

Solution

Correct Answer: Option A

Let the five consecutive numbers be 5, 6, 7, 8, and 9 respectively.

So, the average is = (5 + 6 + 7 + 8 + 9)/5 = 35/5 = 7
Suppose, the average is, x = 7

If the next two numbers are added, then average is = (5 + 6 + 7 + 8 + 9 + 10 + 11)/7 = 56/7 = 8

So, the new average is, x = 7 + 1

So, the average increased by 1

Solution

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