Of the 200 students at College T majoring in one or more of

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Of the 200 students at College T majoring in one or more of [#permalink]

29 Dec 2012, 06:57

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Question Stats:

63% (02:35) correct

36% (01:50) wrong

based on 4 sessions

Of the 200 students at College T majoring in one or more of the sciences, 130 are majoring in chemistry and 150 are majoring in biology. If at least 30 of the students are not majoring in either chemistry or biology, then the number of students majoring in both chemistry and biology could be any number from

(A) 20 to 50
(B) 40 to 70
(C) 50 to 130
(D) 110 to 130
(E) 110 to 150

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Re: Of the 200 students at College T majoring in one or more of [#permalink]

29 Dec 2012, 07:03

Walkabout wrote:

{Total} = {Chemistry } + {Biology} - {Both} + {Neither}

200 = 130 + 150 - {Both} + {Neither} --> {Neither} = {Both} - 80.

Since given that {Neither}>=30, then {Both} - 80>=30 --> {Both}>=110.

Now, as the number of students majoring in both chemistry and biology cannot possibly be more than the number of students majoring in either of sciences, then 110<={Both}<=130.

Answer: D.
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Re: Of the 200 students at College T majoring in one or more of [#permalink] 29 Dec 2012, 07:03

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Of the 200 students at College T majoring in one or more of

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Of the 200 students at College T majoring in one or more of

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