Question

The average of 11 results is 60. If the average of the first six results is 52 and that of the last six is 64. What is the sixth number?
1. 40
2. 36
3. 39
4. 42

Answer 1

Correct Answer - Option 2 : 36

Given:

The average of 11 results = 60

The average of the first six results = 52

The average of the last six results = 64

Formula:

6^th result = total no of first six results + total no. of last six results – total no. of 11 results

Calculations:

6^th result = Total no of first six results + total no. of last six results – total no. of 11 results

⇒ (6 × 52) + (6 × 64) – (11 × 60)

⇒ 312 + 384 - 660

⇒ 696 - 660

⇒ 36

∴ The 6^th number is 36