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How many of the 350 students at Glendale High School took math?

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How many of the 350 students at Glendale High School took math?  [#permalink]

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New post 25 Jan 2017, 06:29
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How many of the 350 students at Glendale High School took math?

(1) All students must take math, science, or both.
(2) The number of students taking math is one-third the number of students taking science and two times the number of students taking both.

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Re: How many of the 350 students at Glendale High School took math?  [#permalink]

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New post 25 Jan 2017, 11:15
stat 1 : not suff

stat 2 : insuff,,neither is not given..

both 1 and 2 suff
hence C
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Re: How many of the 350 students at Glendale High School took math?  [#permalink]

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New post 25 Jan 2017, 12:36
(1) Not Sufficient.
(2) Suppose:
Students took both subjects = x
then students took math = 2x
therefore students took science = 6x

Now, total number of students = students took math + students took science - students took both = 350
2x + 6x - x = 350
=> x = 50

Sufficient. Hence B
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Re: How many of the 350 students at Glendale High School took math?  [#permalink]

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New post 25 Jan 2017, 12:41
saswata4s wrote:
(1) Not Sufficient.
(2) Suppose:
Students took both subjects = x
then students took math = 2x
therefore students took science = 6x

Now, total number of students = students took math + students took science - students took both = 350
2x + 6x - x = 350
=> x = 50

Sufficient. Hence B


number of students who took neiher of the subjects not given in statement B..
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Re: How many of the 350 students at Glendale High School took math?  [#permalink]

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New post 20 Mar 2017, 22:15
Bunuel wrote:
How many of the 350 students at Glendale High School took math?

(1) All students must take math, science, or both.
(2) The number of students taking math is one-third the number of students taking science and two times the number of students taking both.


This question asks us to find how many of the 350 students at Glendale High School took math; in order to solve this question it necessary to know it some students took neither, both, or perhaps only one or the other- in knowing the answers to those questions we can apply set theory.

Statement (1) tells us the all students must take math, science or both- therefore there are three categories and no student can take neither. Yet we have no restrictions such as twice as many students took math therefore there are infinite possibilities. Insufficient.

Statement (2) tells us the relative frequency of students taking math, science, or both; however, again, if we do not know that no student can take neither then there are infinite possibilities ( e.x 60 students could be taking science, 20 could be taking math, 10 could be taking both and the rest could be taking neither. Insufficient.

Statement (1) and Statement (2) allows us to synthesize restrictions and are therefore sufficient together.
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Re: How many of the 350 students at Glendale High School took math?  [#permalink]

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New post 25 Sep 2018, 07:25
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Re: How many of the 350 students at Glendale High School took math? &nbs [#permalink] 25 Sep 2018, 07:25
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