Jen1984 Posted November 12, 2008 Share Posted November 12, 2008 On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour? (1) on the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11. (2) the number of women on the tour was less than 30. Quote Link to comment Share on other sites More sharing options...
supersuj Posted November 12, 2008 Share Posted November 12, 2008 IMO C Given: w:c=5:2 Statement 1--> c:m=5:11 From this we can determine, w:m=25:22.......INSUFFICIENT Statement 2--> w From (1)& (2), since m & w have to be integers, m=22 Quote Link to comment Share on other sites More sharing options...
ajayav Posted November 12, 2008 Share Posted November 12, 2008 C. But i got the answer in a slightly different way. Given W:C=5:2 Statement 1. the ratio of the number of children to the number of men was 5 to 11. So C:M=5:11 Combining both ratios W:C:M=25:10:22 So the no of men could be 22, 44 etc. No unique answer. Hence insufficient. Statement 2. the number of women on the tour was less than 30. By itself the statement is insufficient. Combining 1&2, we get that the number of women on the tour is 25. Hence, men = 22 Hence, C is the answer. Quote Link to comment Share on other sites More sharing options...
vineejay Posted November 12, 2008 Share Posted November 12, 2008 guys..i feel the answer here should be E as it has not been specified in Statemt 2) the exact number of women, only that the number is less than 30. We have only obtained the ratio of Women: men : Children as 25: 22: 10 from Statemnt 1) , so both statements are insuff Quote Link to comment Share on other sites More sharing options...
ajayav Posted November 12, 2008 Share Posted November 12, 2008 guys..i feel the answer here should be E as it has not been specified in Statemt 2) the exact number of women, only that the number is less than 30. We have only obtained the ratio of Women: men : Children as 25: 22: 10 from Statemnt 1) , so both statements are insuff Well, it is a ratio and it gives the relation between the no of women, children and men. The least possible ratio is W:C:M=25:10:22 which means that there should be a minimum of 25 women for the other relations to hold good. the next possibility is 50:20:44. So even if there are 50 women the ratio still holds. you can't have ratio like 26:11:23 - just adding or subtracting no.s from the ratio wont help. Since the question mentions no of women is less than 30, the only possibility is 25. So the answer is C. I hope this helps... :) Quote Link to comment Share on other sites More sharing options...
Moma Posted November 12, 2008 Share Posted November 12, 2008 I would actually go with A because : From the stimulus, we get c=2w/5. St 1: c/m=5/11 => 11c=5m => m=11c/5 => 11/5 (2w/5) [subs c with 2w/5] => m=22/25w => m/w=22/25 given that its a ratio, we can say the ratio of the number of women to the number of men is 22 to 25. So sufficient to answer the Q. I think we can substitute c with the given info from the stimulus !! St 2: Insufficient. Quote Link to comment Share on other sites More sharing options...
genius_in_the_gene Posted November 13, 2008 Share Posted November 13, 2008 men=m, women=w children=c w/c = 5/2 2w-5c=0------------1 1)c/m=5/11 11c-5m=0----------2 Not sufficient 2)w Not suff From 1 and 2 2w-5c=0 11c-5m=0 c = 5m/11 2w-5c=0 or 2w -25m/11 = 0 22w -25m=0 22w= 25m w/m = 25/22 = 5*5/(11*2) m = w*11*2/5*5 now for m to be an int w has to be a multiple of 25. Since w ANS C Quote Link to comment Share on other sites More sharing options...
Moma Posted November 13, 2008 Share Posted November 13, 2008 Jen1984, what's the OA ? Quote Link to comment Share on other sites More sharing options...
ajayav Posted November 13, 2008 Share Posted November 13, 2008 hi moma, the ratio can be found as you said from statement 1. For the ratio W:C:M=25:10:22 you can have 25 women, 10 children and 22 men or 50 women, 20 children and 44 men or 75 women, 30 children and 66 men ..... all these fit the ratio 25:10:22. the second statement gives how many women are actually there. Since the number is below 30, the only option is 25 women and thus 22 men. Hope this helps, thanks Quote Link to comment Share on other sites More sharing options...
Jen1984 Posted November 13, 2008 Author Share Posted November 13, 2008 the OA is C. Much clearer now - thanks guys! Quote Link to comment Share on other sites More sharing options...
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