Question

If 20 sweets are to be distributed among some boys and girls such that each girl gets 2 sweets and each boy gets 3 sweets, what are the numbers of boys and girls?
1. The number of girls is not more than 5
2. If each girl gets 3 sweets and each boy get 2 sweets, the number of sweets required for the children will still be the same

• 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. EACH statement ALONE is sufficient.
• D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer 1

The correct option is B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(b)

Given that 2G+3B=20

Using statement I that number of girls is not more than 5, we have G=1, B=6 and G=4, B=4. since we cannot get a single solution from this statement it is not sufficient to answer the question

If statement II is used, 3B+2G=20, we have G=4 and B=4

Hence, statement II alone is sufficient to answer the question