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If there are B boys and G girls in a club, can the girls be [#permalink]

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Updated on: 12 Mar 2013, 03:42

2

9

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

80% (01:27) correct 20% (01:16) wrong based on 281 sessions

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If there are B boys and G girls in a club, can the girls be divided equally among 6 teams with no girls left over?

(1) If there were 4 fewer girls then the number of girls would be twice the number of boys (2) If the number of boys were 2 less than twice the actual number of boys, then the boys could be divided equally among 6 teams with no boys left over.

Re: If there are B boys and G girls in a club, can the girls be [#permalink]

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12 Mar 2013, 03:54

10

6

If there are B boys and G girls in a club, can the girls be divided equally among 6 teams with no girls left over?

The question basically asks whether G is a multiple of 6.

(1) If there were 4 fewer girls then the number of girls would be twice the number of boys --> G-4=2B. If B=1, then G=6 and the answer is YES but if B=2, then G=8 and the answer is NO. Not sufficient.

(2) If the number of boys were 2 less than twice the actual number of boys, then the boys could be divided equally among 6 teams with no boys left over. This statement implies that 2B-2 is a multiple of 6. No info about G. Not sufficient.

(1)+(2) From (2) we have that 2B-2=6k --> B=3k+1. Thus from (1) we have that G-4=2(3k+1) --> G=6k+6=6(k+1) --> G IS a multiple of 6. Sufficient.

Re: If there are B boys and G girls in a club, can the girls be [#permalink]

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08 Jul 2018, 07:40

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