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# On a particular tour at the zoo, the ratio of the number of men to the

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On a particular tour at the zoo, the ratio of the number of men to the  [#permalink]

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08 Jan 2018, 22:35
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35% (medium)

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66% (01:26) correct 34% (01:35) wrong based on 104 sessions

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On a particular tour at the zoo, the ratio of the number of men to the number of children was 4 to 3. What was the number of women on the tour?

(1) The number of women on the tour was less than 40.
(2) On the tour, the ratio of number of the number of children to the number of women was 4 to 11.

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09 Jan 2018, 07:21
1
Bunuel wrote:
On a particular tour at the zoo, the ratio of the number of men to the number of children was 4 to 3. What was the number of women on the tour?

(1) The number of women on the tour was less than 40.
(2) On the tour, the ratio of number of the number of children to the number of women was 4 to 11.

Given $$m:c=4:3$$ we need number of women?

Statement 1: number of women can be any number less than $$40$$. Insufficient

Statement 2: we have $$c:w=4:11$$ and $$m:c=4:3$$ , $$c$$ is common in both the ratios, hence to combine the ratios we need a common value of $$c$$ in both the ratios

$$=> m:c:w=16:12:33$$. but we have no value here. Insufficient

Combining 1 & 2: we know number of women is a multiple of $$33$$ and less then $$40$$. so number of $$women=33$$. Sufficient

Option C
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Re: On a particular tour at the zoo, the ratio of the number of men to the  [#permalink]

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02 Nov 2019, 04:08
On a particular tour at the zoo, the ratio of the number of men to the number of children was 4 to 3. What was the number of women on the tour?

(1) The number of women on the tour was less than 40.
(2) On the tour, the ratio of number of the number of children to the number of women was 4 to 11.[/quote]

M:C =4:3 & C:W=4:11 . Thus M:C:W=16:12:33. Let k be constant.

So, Men = 16K
Children = 12K
Women = 33K

Bunuel : Can you explain, why C is correct.

Without knowing total population, how can we consider number of women as 33 ?

Considering value of K =1/3 , women population also can be 11 which is less than 40.

So (1) + (2) may not be correct. Please let me know, where am I getting wrong.
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On a particular tour at the zoo, the ratio of the number of men to the  [#permalink]

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27 Nov 2019, 15:33
Quote:

M:C =4:3 & C:W=4:11 . Thus M:C:W=16:12:33. Let k be constant.

So, Men = 16K
Children = 12K
Women = 33K

Bunuel : Can you explain, why C is correct.

Without knowing total population, how can we consider number of women as 33 ?

Considering value of K =1/3 , women population also can be 11 which is less than 40.

So (1) + (2) may not be correct. Please let me know, where am I getting wrong.

[/quote]
merajul
K=1/3
Men = 16K=5.33 ??
Children = 12K=4
Women = 33K=11

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Re: On a particular tour at the zoo, the ratio of the number of men to the  [#permalink]

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27 Nov 2019, 22:16
TheNightKing wrote:
Quote:

M:C =4:3 & C:W=4:11 . Thus M:C:W=16:12:33. Let k be constant.

So, Men = 16K
Children = 12K
Women = 33K

Bunuel : Can you explain, why C is correct.

Without knowing total population, how can we consider number of women as 33 ?

Considering value of K =1/3 , women population also can be 11 which is less than 40.

So (1) + (2) may not be correct. Please let me know, where am I getting wrong.

merajul
K=1/3
Men = 16K=5.33 ??
Children = 12K=4
Women = 33K=11

I got it now. You are Awesome TheNightKing
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Re: On a particular tour at the zoo, the ratio of the number of men to the   [#permalink] 27 Nov 2019, 22:16