If the A M of six numbers is 40 then how many numbers are greater than 40 A nbs...........

Math and Mental Ability Data Sufficiency

If the A.M. of six numbers is 40, then how many numbers are greater than 40?

A. Three of the six numbers are equal to 40.

B. Three of the six numbers are equal to 20.

Statement A alone is sufficient and statement B alone is not sufficient to answer the question.

Both the statements A and B together are not sufficient to answer the question.

Statements A and B together are sufficient but neither statement alone is sufficient to answer the question.

Each statement alone is sufficient to answer the question.

- The arithmetic mean (A.M.) of six numbers is 40, meaning their total sum is 240.

- Statement A: Three numbers are 40 each.

- Their total is 120, leaving three other numbers summing to 120.

- Any combination of these can be greater, equal to, or less than 40.

- Statement B: Three numbers are 20 each.

- Their total is 60, leaving three other numbers summing to 180.

- At least two of these numbers must be greater than 40.

- Combining A and B:

- Cannot specifically determine the count of numbers greater than 40 without defining the other numbers.

- Therefore, both together are not sufficient.

Option 2 is correct.

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