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# Jim and Heather are in a line to purchase tickets for a music concert.

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Math Expert
Joined: 02 Sep 2009
Posts: 52256
Jim and Heather are in a line to purchase tickets for a music concert.  [#permalink]

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07 Jan 2015, 06:44
2
1
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:15) correct 37% (00:50) wrong based on 101 sessions

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Tough and Tricky questions: Word Problems.

Jim and Heather are in a line to purchase tickets for a music concert. How many people are in the line?

(1) There are 32 people in front of Jim and 40 people behind Heather.
(2) There are 13 people between Jim and Heather.

Kudos for a correct solution.

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Joined: 26 Dec 2014
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Concentration: Operations, Technology
Re: Jim and Heather are in a line to purchase tickets for a music concert.  [#permalink]

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07 Jan 2015, 07:42
1
No OA yet?

I would go for E because:
A - Statement 1 alone does NOT tell you how many people are between Jim and Heather.
B - Statement 2 alone only tells you how many people are between Jim and Heather, not whether there are other people in the line.
C - Statement 1 and 2 together presents two possibilities because we don't know whether Jim is in front of Heather (87 people total) or the other way around (59 total).
D - Established that neither Statement 1 nor 2 are sufficient on their own, so cross this out.
E - Correct answer. We need to know the order of the line (whether Jim is in front of Heather or the other way around).
Math Expert
Joined: 02 Sep 2009
Posts: 52256
Jim and Heather are in a line to purchase tickets for a music concert.  [#permalink]

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09 Jan 2015, 05:19
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Jim and Heather are in a line to purchase tickets for a music concert. How many people are in the line?

(1) There are 32 people in front of Jim and 40 people behind Heather.
(2) There are 13 people between Jim and Heather.

Kudos for a correct solution.

OFFICIAL SOLUTION:

Statement (1) does not tell you anything since you do not know whether Jim is in front of Heather or behind Heather and you don't know how many people are between them.

Statement (2) is not sufficient because you can't tell how many people are in front or behind Jim and Heather.

If you take statements (1) and (2) together: There are 2 possibilities: if Jim is farther ahead, then there are 32 people in front of him, plus the 13 between him and Heather, plus the 40 after her, plus Jim and Heather themselves, for a total of 87 people in line. But suppose that Heather is closer to the front than Jim. In this case, with Heather closer to the front and 13 people between her and Jim, there must still be 32 people in front of Jim and 40 behind Heather. Since Heather and the intermediate 13 people are ahead of Jim, there must be 32 – (13 + 1) people, or 18 people, ahead of Heather. Since Jim and the intermediate 13 people are behind Heather, there must be 40 – (13 + 1) people, or 26 people, behind Jim. So, we have 18 people in front of Heather, then Heather herself, then the intermediate 13 people, then Jim himself, then the 26 people behind Jim, for a total of 59 people. Thus, even together the statements don't give us enough information, and the answer is (E).
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Re: Jim and Heather are in a line to purchase tickets for a music concert.  [#permalink]

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09 Jan 2015, 05:21
Bunuel wrote:
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Jim and Heather are in a line to purchase tickets for a music concert. How many people are in the line?

(1) There are 32 people in front of Jim and 40 people behind Heather.
(2) There are 13 people between Jim and Heather.

Kudos for a correct solution.

Statement (1) does not tell you anything since you do not know whether Jim is in front of Heather or behind Heather and you don't know how many people are between them.

Statement (2) is not sufficient because you can't tell how many people are in front or behind Jim and Heather.

If you take statements (1) and (2) together: There are 2 possibilities: if Jim is farther ahead, then there are 32 people in front of him, plus the 13 between him and Heather, plus the 40 after her, plus Jim and Heather themselves, for a total of 87 people in line. But suppose that Heather is closer to the front than Jim. In this case, with Heather closer to the front and 13 people between her and Jim, there must still be 32 people in front of Jim and 40 behind Heather. Since Heather and the intermediate 13 people are ahead of Jim, there must be 32 – (13 + 1) people, or 18 people, ahead of Heather. Since Jim and the intermediate 13 people are behind Heather, there must be 40 – (13 + 1) people, or 26 people, behind Jim. So, we have 18 people in front of Heather, then Heather herself, then the intermediate 13 people, then Jim himself, then the 26 people behind Jim, for a total of 59 people. Thus, even together the statements don't give us enough information, and the answer is (E).

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Jim and Heather are in a line to purchase tickets for a music concert.  [#permalink]

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09 Jan 2015, 19:32
We do not know the relative positions of (J)im and (H)eather. We must keep this in mind when determining sufficiency.

(1) Does not tell us relative positions. The answer changes depending on whether J or H is ahead in the line. NOT sufficient.

Strike A/D.

(2) We only know that there are at least 15 people in line. NOT sufficient.

Strike B.

(1/2) We have:

--26--J--13--H--18 , for 2 + 26 + 13 + 18

OR

--40--H--13--J--32, for 2 + 40 + 13 + 32

26 + 18 =/= 40 + 32

NOT sufficient.

Strike C. The answer is E.
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Re: Jim and Heather are in a line to purchase tickets for a music concert.  [#permalink]

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19 Apr 2018, 22:35
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Re: Jim and Heather are in a line to purchase tickets for a music concert. &nbs [#permalink] 19 Apr 2018, 22:35
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