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# At the elite university, 500 students study Computer Science

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Intern
Joined: 04 Jun 2013
Posts: 2
At the elite university, 500 students study Computer Science  [#permalink]

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Updated on: 05 Aug 2013, 06:59
1
9
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:42) correct 34% (01:41) wrong based on 217 sessions

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At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?

(1) Of the 500 students, 90 do not study Computer Science.
(2) A total of 410 of the students study Computer Science.

Originally posted by manasishah on 05 Aug 2013, 06:47.
Last edited by Zarrolou on 05 Aug 2013, 06:59, edited 1 time in total.
Edited the question, renamed the topic and added OA.
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Re: At the elite university, 500 students study Computer Science  [#permalink]

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05 Aug 2013, 06:59
At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?

Let ONLY Computer Science students be $$a$$, ONLY Electrical Engineering students be $$c$$ and students of BOTH be $$b$$.
$$a+b+c=500$$ the text says $$a=100$$ (students do not study Electrical Engineering, so study ONLY CS). We have to find $$b$$.

(1) Of the 500 students, 90 do not study Computer Science.
So the students of ONLY EE are $$90=c$$.
$$100+b+90=500$$, $$b=310$$.
Sufficient

(2) A total of 410 of the students study Computer Science.
$$a+b=410$$, $$100+b=410$$, $$b=310$$.
Sufficient
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Re: At the elite university, 500 students study Computer Science  [#permalink]

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05 Aug 2013, 07:11
manasishah wrote:
At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?

(1) Of the 500 students, 90 do not study Computer Science.
(2) A total of 410 of the students study Computer Science.

GIVEN
CS only + EE only + B =500 (500 students study Computer Science or Electrical Engineering or both).....1
CS only = 100 (100 of these students do not study Electrical Engineering).....2

STMNT 1: Of the 500 students, 90 do not study Computer Science.
EE only = 90
puting the values in eqn 1
100 + 90 + B =500
HENCE B=310
SUFFICIENT

STMNT 2:
A total of 410 of the students study Computer Science.
MEANS 90 STUDY ONLY EE
SAME INFORMATION AS STMNT 1
HENCE SUFFICIENT

SO D
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Re: At the elite university, 500 students study Computer Science  [#permalink]

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05 Aug 2013, 07:14
manasishah wrote:
At the elite university, 500 students study Computer Science or Electrical Engineering or both. If 100 of these students do not study Electrical Engineering, how many of these students study both Computer Science and Electrical Engineering?

(1) Of the 500 students, 90 do not study Computer Science.
(2) A total of 410 of the students study Computer Science.

Rephrasing the question information in a matrix visual. The value of the cell ?? is asked to be found.

Computer Science Not Computer Science Total
-----------------------------------------------------------------------------------------------------------------------
Electrical Engineering ?? 400
-----------------------------------------------------------------------------------------------------------------------
Not Electrical Engineering 100 0 100
------------------------------------------------------------------------------------------------------------------------
Total 500
-----------------------------------------------------------------------------------------------------------------------

From stmt 1, the matrix is updated as follows. Hence sufficient.

Computer Science Not Computer Science Total
-----------------------------------------------------------------------------------------------------------------------
Electrical Engineering ? = 310 90 400
-----------------------------------------------------------------------------------------------------------------------
Not Electrical Engineering 100 0 100
------------------------------------------------------------------------------------------------------------------------
Total 500
-----------------------------------------------------------------------------------------------------------------------

From stmt 2, the matrix is updated as follows. Hence sufficient.

Computer Science Not Computer Science Total
-----------------------------------------------------------------------------------------------------------------------
Electrical Engineering ? = 310 400
-----------------------------------------------------------------------------------------------------------------------
Not Electrical Engineering 100 0 100
------------------------------------------------------------------------------------------------------------------------
Total 410 500
-----------------------------------------------------------------------------------------------------------------------

Hope this helps
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Re: At the elite university, 500 students study Computer Science  [#permalink]

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09 Oct 2018, 06:08
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Re: At the elite university, 500 students study Computer Science   [#permalink] 09 Oct 2018, 06:08
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