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Some of the people in Town X are lefthanded, some are tall
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27 Jan 2012, 03:20
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50% (03:03) correct 50% (03:00) wrong based on 177 sessions
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Some of the people in Town X are lefthanded, some are tall, some are both, and some are neither. In Town Y, three times as many people are lefthanded as are lefthanded in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither lefthanded nor tall? A. 23 B. 39 C. 72 D. 143 E. 199
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Re: Some of the people in Town X are lefthanded, some are tall
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27 Jan 2012, 03:37
boomtangboy wrote: Some of the people in Town X are lefthanded, some are tall, some are both, and some are neither. In Town Y, three times as many people are lefthanded as are lefthanded in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither lefthanded nor tall?
A. 23 B. 39 C. 72 D. 143 E. 199 {Total in X}={lefthanded in X}+{tall in X}{both in X}+{neither in X}; {Total in Y}=3*{lefthanded in X}+3*{tall in X}3*{both in X}+0; As the total number of people in Town X is four times as many as in the total number of people in Town Y (I think it's the intended meaning), then: {lefthanded in X}+{tall in X}{both in X}+{neither in X}=4(3*{lefthanded in X}+3*{tall in X}3*{both in X}) > {neither in X}=11({lefthanded in X}+{tall in X}{both in X}) > hence {neither in X} (the number of people in Town X who are neither lefthanded nor tall) must be a multiple of 11. The only answer which is multiple of 11 is 143=13*11. Answer: D. Hope it's clear.
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Re: Some of the people in Town X are lefthanded, some are tall
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19 Jul 2012, 06:47
Hi, I love drawing venn diagrams, but in this question it won't help much other than providing a visual information about the question. In the following diagram: For town X, a = Number of left handed people b = Number of tall people c = Number of both tall & left handed. d = Neither For town Y, 3a = Number of left handed people 3b = Number of tall people 3c = Number of both tall & left handed. Attachment:
venn..jpg [ 18.86 KiB  Viewed 9568 times ]
Now, (a+bc)+x = 4(3a+3b3c) or x = 11(a+bc) thus, we should look for the multiple of 11 in the answer. ( (a+bc) would be a positive quantity.) Answer (D) Regards,



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Re: Some of the people in Town X are lefthanded, some are tall
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21 Oct 2019, 05:21
boomtangboy wrote: Some of the people in Town X are lefthanded, some are tall, some are both, and some are neither. In Town Y, three times as many people are lefthanded as are lefthanded in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither lefthanded nor tall?
A. 23 B. 39 C. 72 D. 143 E. 199 Total = A + B  both + neither X = T + L  both + neither Y = 3T + 3L  3both X = 4Y 4(3T + 3L  3both)=T + L  both + neither 12T+12L12both=T+Lboth+neither 11T+11L11both=neither neither=11(T+Lboth) Answer (D)



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Re: Some of the people in Town X are lefthanded, some are tall
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21 Oct 2019, 18:13
If the total number of people in Town X is four times greater than the total number of people in Town Y.
I have a doubt here. When we say x is four times greater than y. then the equation is x = y+4y But when we says that four times of Y. Then the equation is x= 4y .
Please tell me my mistake to clear this doubt so that I can avert further mistakes in word problems.



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Some of the people in Town X are lefthanded, some are tall
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22 Oct 2019, 04:41
gvij2017 wrote: If the total number of people in Town X is four times greater than the total number of people in Town Y.
I have a doubt here. When we say x is four times greater than y. then the equation is x = y+4y But when we says that four times of Y. Then the equation is x= 4y .
Please tell me my mistake to clear this doubt so that I can avert further mistakes in word problems. https://gmatclub.com/forum/01ishowm ... 80239.htmlhttps://gmatclub.com/forum/atacertain ... 85632.htmlX is 4 times greater than Y: X=4Y X is 4 times as many as Y: X=4Y X is 4 times as much as Y: X=4Y X is 4 times of Y: X=4Y Think of it like this, if x=2 and y=1… then: y is half of x x is twice as many/much as y x is two times greater than y x is two times/twice of y



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Re: Some of the people in Town X are lefthanded, some are tall
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23 Oct 2019, 15:56
Thanks! I appreciate your explanation. So can you tell me how will you word x= y+4y? exc4libur wrote: gvij2017 wrote: If the total number of people in Town X is four times greater than the total number of people in Town Y.
I have a doubt here. When we say x is four times greater than y. then the equation is x = y+4y But when we says that four times of Y. Then the equation is x= 4y .
Please tell me my mistake to clear this doubt so that I can avert further mistakes in word problems. https://gmatclub.com/forum/01ishowm ... 80239.htmlhttps://gmatclub.com/forum/atacertain ... 85632.htmlX is 4 times greater than Y: X=4Y X is 4 times as many as Y: X=4Y X is 4 times as much as Y: X=4Y X is 4 times of Y: X=4Y Think of it like this, if x=2 and y=1… then: y is half of x x is twice as many/much as y x is two times greater than y x is two times/twice of y



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Some of the people in Town X are lefthanded, some are tall
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24 Oct 2019, 04:41
gvij2017 wrote: Thanks!
I appreciate your explanation. So can you tell me how will you word x= y+4y?
x is 5 times greater than y: x=5y=y+4y x is 4 times more than y: x=y+4y




Some of the people in Town X are lefthanded, some are tall
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24 Oct 2019, 04:41






