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# In a certain institute, every student studies at least one of two subj

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Math Expert
Joined: 02 Sep 2009
Posts: 54371
In a certain institute, every student studies at least one of two subj  [#permalink]

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10 Jul 2017, 04:27
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Difficulty:

65% (hard)

Question Stats:

59% (02:28) correct 41% (02:06) wrong based on 83 sessions

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In a certain institute, every student studies at least one of two subjects, Accountancy and Economics. What is the percentage of students who take only Economics?

(1) Out of every seven students taking Accountancy, three take Economics as well.
(2) For every three students taking at least one of the two courses, there is one student who takes up both.

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Director
Joined: 21 Mar 2016
Posts: 520
Re: In a certain institute, every student studies at least one of two subj  [#permalink]

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10 Jul 2017, 08:16
1
stat1 : for every seven students taking accountancy 3 take ecnomics as well..
consider the total to be 100,,hence 70 take accountancy
30 take eceonomics as well,, zero percent take only economics,, sufff

stat2 : no specific info on who is taking accountancy or economics,,not suff

ans A
Intern
Joined: 14 Nov 2012
Posts: 23
GMAT 1: 740 Q51 V38
Re: In a certain institute, every student studies at least one of two subj  [#permalink]

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04 Sep 2017, 03:00
2
Let me try with a solution (plz correct me if I'm wrong):

We have the ratio equation as below :
A-only + E-only + Both = 1

1. For every 7A, we have 3E
=> there are 4 who take A only
=> A-only ratio is 4/7
we dont know about E-only & Both ratio. Insufficient.

2."For every three students taking at least one of the two courses, there is one student who takes up both"
=> In another word, for every 3 students at the insitute, there is 1 who takes both.
=> Both ratio is 1/3
Insufficient.

(1+2) : we deduce that
E-only = 1 - 4/7 - 1/3

Posted from my mobile device

Posted from my mobile device
Re: In a certain institute, every student studies at least one of two subj   [#permalink] 04 Sep 2017, 03:00
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