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A data company recently conducted a survey to determine wh

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A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?

(1) 65% of survey respondents used only product X
(2) 10% of survey respondents used both products X and Y
[Reveal] Spoiler: OA

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New post 08 Jun 2013, 03:03
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A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?

Given: {Total} < 100 and {Neither} = 0.

{Total} = {Only X} + {Only Y} + {Both}. Notice that this formula is different from {Total} = {X} + {Y} - {Both}.

(1) 65% of survey respondents used only product X. 65%=65/100=13/20, thus {Total} must be a multiple of 20. Not sufficient.

(2) 10% of survey respondents used both products X and Y. 10%=1/10, thus {Total} must be a multiple of 20. Not sufficient.

(1)+(2) If {Total} = 20, then {Only X} = 13/20*20 = 13, thus {Y} = {Total} - {Only X} = 7 BUT {Total} = 40, then {Only X} = 13/20*40 = 26, thus {Y} = {Total} - {Only X} = 14. Not sufficient.

Answer: E.

Hope it's clear.
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Re: A data company recently conducted a survey to determine wh [#permalink]

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New post 08 Jun 2013, 18:28
emmak wrote:
A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?

(1) 65% of survey respondents used only product X
(2) 10% of survey respondents used both products X and Y


Just pick good numbers to fill in the answers , lets say 80 or 60. Each time with the given fact you will get a different answer.Hence E.
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New post 06 Aug 2013, 18:24
Given less than 100 people were surveyed
St 1. X = less than 65 Does not tell anything about Y Not-Suff
St. 2 Both = less than 10 - Not Suff

Together : Can be multiple ans for Y

Ans : E
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New post 06 Aug 2013, 21:36
GMAT40 wrote:
Given less than 100 people were surveyed
St 1. X = less than 65 Does not tell anything about Y Not-Suff
St. 2 Both = less than 10 - Not Suff

Together : Can be multiple ans for Y

Ans : E


Another way to look at this question . Total given is a range.Total can be any number from 1 to 99 ( total <100).
(1) X is 65% of Total => X can have multiple values as total is not fixed => Not Sufficient .Unable to get a single value for Y
(2)Both X & Y = 10% of Total => multiple values => Not Sufficient .Unable to get a single value for Y

(1) & (2) together also does not help to get a single value for Y.Hence answer is E
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New post 07 Aug 2013, 04:37
raj077 wrote:
GMAT40 wrote:
Given less than 100 people were surveyed
St 1. X = less than 65 Does not tell anything about Y Not-Suff
St. 2 Both = less than 10 - Not Suff

Together : Can be multiple ans for Y

Ans : E


Another way to look at this question . Total given is a range.Total can be any number from 1 to 99 ( total <100).
(1) X is 65% of Total => X can have multiple values as total is not fixed => Not Sufficient .Unable to get a single value for Y
(2)Both X & Y = 10% of Total => multiple values => Not Sufficient .Unable to get a single value for Y

(1) & (2) together also does not help to get a single value for Y.Hence answer is E



it's a one line solution problem.
we know just one thing and it's less than 100 people, 1 to 99 anything . 99cases not only double cases..
so its not possible to evaluate how many people used Y or X or anything else, just by using % .
so (E)
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Re: A data company recently conducted a survey to determine wh [#permalink]

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New post 20 Sep 2013, 18:27
I'd disagree with the suggested answer.

The answer should actually be A.

The question asks how many people use Y, not 'only' Y. So it should be the total of the # people who use only Y + the # of people who use Y and X.

If 65% of respondents used only X. And less than 100 people were surveyed, we know that the number of people who used only X must be a variable of a factor of 65 since only whole people (integers) can fit into a bucket.

Since every responder must choose one or both products and neither is not an option we know that 35% use Y.

65 and 35 are both only divisible by 5. Therefore 13 people use only X and 7 use Y or both. Therefore the answer should be A as we can determine the value is 7.

Let me know your thoughts please!
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Re: A data company recently conducted a survey to determine wh [#permalink]

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New post 21 Sep 2013, 03:33
Expert's post
thatgmat wrote:
I'd disagree with the suggested answer.

The answer should actually be A.

The question asks how many people use Y, not 'only' Y. So it should be the total of the # people who use only Y + the # of people who use Y and X.

If 65% of respondents used only X. And less than 100 people were surveyed, we know that the number of people who used only X must be a variable of a factor of 65 since only whole people (integers) can fit into a bucket.

Since every responder must choose one or both products and neither is not an option we know that 35% use Y.

65 and 35 are both only divisible by 5. Therefore 13 people use only X and 7 use Y or both. Therefore the answer should be A as we can determine the value is 7.

Let me know your thoughts please!


That's not correct. The answer is E, not A. Examples proving that are given here: a-data-company-recently-conducted-a-survey-to-determine-wh-154001.html#p1233744

Consider the following cases:
{Only X} = 13
{Only Y} = 5
{Both} = 2
{Total} = {Only X} + {Only Y} + {Both} = 20

{Only X} = 26
{Only Y} = 10
{Both} = 4
{Total} = {Only X} + {Only Y} + {Both} = 40

Hope it helps.
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Re: A data company recently conducted a survey to determine wh [#permalink]

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New post 22 Sep 2013, 13:09
Bunuel wrote:
A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?

Given: {Total} < 100 and {Neither} = 0.

{Total} = {Only X} + {Only Y} + {Both}. Notice that this formula is different from {Total} = {X} + {Y} - {Both}.


Bunuel,

what's the difference between the two formulas? when would we use the second one?
thanks
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Re: A data company recently conducted a survey to determine wh [#permalink]

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New post 22 Sep 2013, 23:44
Expert's post
LinaNY wrote:
Bunuel wrote:
A data company recently conducted a survey to determine whether people use product X or product Y. If fewer than 100 people were surveyed and each person used either one product or both, how many people used product Y?

Given: {Total} < 100 and {Neither} = 0.

{Total} = {Only X} + {Only Y} + {Both}. Notice that this formula is different from {Total} = {X} + {Y} - {Both}.


Bunuel,

what's the difference between the two formulas? when would we use the second one?
thanks


The two formulas are:

{Total} = {X} + {Y} - {Both} + {Neither}

Now, since {X} = {Only X} + {Both} and {Y} = {Only Y} + {Both}, then if you substitute you get:
{Total} = {Only X} + {Only Y} + {Both} + {Neither}

You should apply the one which best suits the question at hand.
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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.


What are GMAT Club Tests?
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Re: A data company recently conducted a survey to determine wh [#permalink]

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New post 23 Sep 2013, 04:39
Thanks, Bunuel! it's clear now.
Re: A data company recently conducted a survey to determine wh   [#permalink] 23 Sep 2013, 04:39
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