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How many students are either juniors or males or both? A 678

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How many students are either juniors or males or both? A 678 [#permalink] New post 08 Mar 2018, 14:13
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Question Stats:

75% (01:17) correct 25% (01:22) wrong based on 4 sessions
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How many students are either juniors or males or both?

A 678
B 766
C 948
D 1,130
E 1,312
[Reveal] Spoiler: OA

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Re: How many students are either juniors or males or both? A 678 [#permalink] New post 09 Mar 2018, 16:16
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This looks like an overlapping set problem, and ETS does love to use tables for overlapping sets, but we really don't need to worry about making an overlapping sets table here. Just count up all the males, count up all the juniors, and be careful not to double count the male juniors, because that is of course one of the trap answer choices (D).

Conveniently, all the males have already been added up for us and they total 860. So we just need to add the juniors who aren't males, otherwise known as females, and add them. They represent another 88 students. Since 860 + 88 = 948, C is the answer.
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Re: How many students are either juniors or males or both? A 678 [#permalink] New post 09 Sep 2018, 16:30
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What an overalpping, tricky question! Using a Venn diagram helped me for this one. Total is 1400. Males + Juniors =182 (from table 1). Now total males = 860. So Males-Junior=678 and Juniors-Males=88; this is removing the overlap. So either Junior or Males or both = 182+678+88=948. Answer is C.
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How many students are either juniors or males or both? A 678

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