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# Which of the following statements must be true?

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Which of the following statements must be true? [#permalink]  08 Mar 2018, 14:15
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Question Stats:

55% (01:22) correct 45% (02:19) wrong based on 20 sessions
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Which of the following statements must be true?

Indicate $$all$$ such statements.

A The number of males majoring in physical sciences is greater than the number of females majoring in that area.
B Students majoring in either social sciences or physical sciences constitute more than 50 percent of the total enrollment.
C The ratio of the number of males to the number of females in the senior class is less than 2 to 1.

kudos for the right solution and explanation
[Reveal] Spoiler: OA

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Last edited by Carcass on 21 Apr 2018, 23:55, edited 1 time in total.
Fixed the OA
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Re: Which of the following statements must be true? [#permalink]  08 Mar 2018, 19:26
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A. The GRE wants you to assume that since there are more males than females among the students, that there must be more males studying the physical sciences as well. But since it's entirely possible that every student studying physical sciences is female, statement A doesn't have to be true.

B. Since social sciences is 30% and physical sciences is 24%, they total 54%, which is greater than half of the total enrollment, so statement B must be true.

C. The number of senior males is 160, while the number of senior females is 84, producing a 160:84 ratio. A ratio of 160:80 would of course be 2:1, but since in the actual ratio, 84 is more than 80, we will get a ratio that is less than 2:1. Thus statement C must be true.
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Intern
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Re: Which of the following statements must be true? [#permalink]  08 Oct 2018, 04:35
I just did this problem and I'm confused why A isn't correct. It says "% of total enrollment majoring in selected academic area" and in the other table it says "total enrollment", so why can't we relate both tables to each other? (In which case A would be true.)
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Re: Which of the following statements must be true? [#permalink]  08 Oct 2018, 06:10
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Monco wrote:
I just did this problem and I'm confused why A isn't correct. It says "% of total enrollment majoring in selected academic area" and in the other table it says "total enrollment", so why can't we relate both tables to each other? (In which case A would be true.)

24% of 1400 = 336

and we have 860 male and 540 female. In that case all of 336 can be female, as the question didn't mention anything specific

Plz read the ques carefully: when the question ask's which MUST be true: meaning it is always true no matter what, but in this case i.e. Option A it can be true or it can be false there are both possibility.
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