If 20 sweets are to be distributed among some boys and girls such that each gi

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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

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 . 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: Option B
:
B

(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

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