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Some of the people in Town X are lefthanded, some are tall
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27 Jan 2012, 02:20
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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, 02:37
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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17 Jul 2012, 14:02
The question says "total number of people in Town X is four times greater than the total number of people in Town Y" . doesn't that means 5 times ?



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Re: Some of the people in Town X are lefthanded, some are tall
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18 Jul 2012, 01:33



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Re: Some of the people in Town X are lefthanded, some are tall
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19 Jul 2012, 03:33
Is there any way to solve this question by Venn diagram method?? I tried but couldnt comeup with any...



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Re: Some of the people in Town X are lefthanded, some are tall
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19 Jul 2012, 05:47
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 7753 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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13 Aug 2012, 03:05
little problems with the wording of the question, but managed to solve it.However, i took more than 3 minutes for this problem, any shortcuts? I used the table method but drawing the table and logging the values in the table itself took 2 minutes
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Re: Some of the people in Town X are lefthanded, some are tall
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22 Aug 2012, 08:15
Good Question  Simple question but lengthy. Kudos given
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Re: Some of the people in Town X are lefthanded, some are tall
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16 Jul 2013, 23:33



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Some of the people in Town X are lefthanded, some are tall, some are
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01 Sep 2014, 09:37
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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01 Sep 2014, 09:48
AmoyV 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 Merging topics. Please refer to the discussion above. Can you please try searching before posting? Thank you.
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Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
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Re: Some of the people in Town X are lefthanded, some are tall
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29 Dec 2018, 00:35
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Re: Some of the people in Town X are lefthanded, some are tall &nbs
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