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# On a certain sightseeing tour the ratio of the number of

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Director
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On a certain sightseeing tour the ratio of the number of [#permalink]

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14 May 2006, 13:37
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On a certain sightseeing tour the ratio of the number of women to children was 5 to 2. What was the number of men in the sightseeing tour?

1. on the tour ratio of children to men was 5 to 11

2. the number of women was less than 30

Senior Manager
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14 May 2006, 14:06
1) 22 & 44 both satisfy , so insuff.
2) obviously insuff.

however , (1) and (2) together are sufficient since 22 is the only possibility that left

C it is
Director
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14 May 2006, 14:09
deowl wrote:
1) 22 & 44 both satisfy , so insuff.
2) obviously insuff.

however , (1) and (2) together are sufficient since 22 is the only possibility that left

C it is

Hi deowl, can you please explain in detail how 22 & 44 both satisfy?
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14 May 2006, 16:01
gmatmba wrote:
On a certain sightseeing tour the ratio of the number of women to children was 5 to 2. What was the number of men in the sightseeing tour?

1. on the tour ratio of children to men was 5 to 11

2. the number of women was less than 30

1.
Ratio of Women : Children
5 : 2
or 25 : 10

Ratio of Children : Men
5 : 11
or 10 : 22

Therefore ratio of Women : Men
25 : 22

As we are not given any other info, hence 1 is insufficient.

2. women < 30

As 2 does not have any info on the no. of men, hence it is insufficient.

1 & 2 => The only possibility for women to be less than 30 and still maintain the ratios given in the question, is when women = 25, for which men=22.

Thus C.
Re: DS: Sightseeing   [#permalink] 14 May 2006, 16:01
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