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

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Math Expert
Joined: 02 Sep 2009
Posts: 52119
A survey of seniors and juniors at a small college revealed 50 are sen  [#permalink]

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17 Apr 2018, 04:38
00:00

Difficulty:

25% (medium)

Question Stats:

89% (01:41) correct 11% (02:51) wrong based on 32 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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Joined: 21 Aug 2013
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Location: India
Re: A survey of seniors and juniors at a small college revealed 50 are sen  [#permalink]

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18 Apr 2018, 10:16
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.

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Joined: 11 Apr 2018
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Re: A survey of seniors and juniors at a small college revealed 50 are sen  [#permalink]

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18 Apr 2018, 18:55
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.

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, 18:55
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