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A survey of seniors and juniors at a small college revealed 50 are sen

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A survey of seniors and juniors at a small college revealed 50 are sen  [#permalink]

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New post 17 Apr 2018, 05:38
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Question Stats:

87% (01:38) correct 13% (02:51) wrong based on 28 sessions

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A survey of seniors and juniors at a small college revealed 50 are seniors who live off-campus. How many students were surveyed?

(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.

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Re: A survey of seniors and juniors at a small college revealed 50 are sen  [#permalink]

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New post 18 Apr 2018, 11:16
Bunuel wrote:
A survey of seniors and juniors at a small college revealed 50 are seniors who live off-campus. How many students were surveyed?

(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.


So there would be four kinds of students here (who were surveyed): a) seniors off campus, b) seniors on campus, c) juniors off campus, d) juniors on campus. We are given that type a) are 50 in number. We need the total of these four.

(1) So type a) and b) are total 80. We know type a) are 50, so type b) must be 80-50 = 30. But this doesnt tell us anything about type c) and type d) (juniors). So not sufficient.

(2) So total of type a) and type c) is 120. We know type a) are 50, so type c) must be 120-50 = 70. But this doesnt tell us anything about type b) and type d). Not sufficient.

Combining the statements, we now know that type a) are 50, type b) are 30 and type c) are 70. But still there is no information about type d), i.e., juniors who live on campus. For this we need either total of juniors or the total number of students who live on campus, none of which is provided. Not sufficient.

Hence E answer
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Re: A survey of seniors and juniors at a small college revealed 50 are sen  [#permalink]

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New post 18 Apr 2018, 19:55
Bunuel wrote:
A survey of seniors and juniors at a small college revealed 50 are seniors who live off-campus. How many students were surveyed?

(1) 80 of the students surveyed are seniors and the rest are juniors.
(2) 120 of the students surveyed live off campus and the rest live on campus.


Answer: E

From each statement or both the statements, we cannot conclude on number of students as we fall short on one of the values about juniors.


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Re: A survey of seniors and juniors at a small college revealed 50 are sen &nbs [#permalink] 18 Apr 2018, 19:55
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