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08 Jan 2018, 23:35
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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.
(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.
09 Jan 2018, 08:21
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Bunuel
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.
(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
02 Nov 2019, 05:08
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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.[/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.
(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.
