EgmatQuantExpert wrote:

Solve any Mean and Standard deviation question under a minute- Exercise Question #22- The average of 6 numbers is 8. One new number is now added to the set of 6 numbers and the arithmetic mean of the 7 numbers is now calculated.

Is the arithmetic mean of 7 numbers greater than 10?

1. The additional number is at least 23.

2. The additional number is a multiple of 4.

Options A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statement (1) and (2) TOGETHER are NOT sufficient.

Given Avg. of Six numbers is 8 i.e sum of 6 numbers is 48. Now, the avg of 7 numbers to be greater than 10, their sum must be at least 70.

Option A: new number is at least 23 i.e sum=48+23=71

SufficientOption B: new number is multiple of 4, it can be 4,8,12,16,20,24 etc

Not sufficientIMO Option A is correct