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Tom and Jack are in a line to purchase iphones. How many people are in

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Manager
Status: Single
Joined: 05 Jun 2011
Posts: 110
Location: Shanghai China
Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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09 Jul 2011, 03:43
1
1
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Difficulty:

55% (hard)

Question Stats:

56% (00:36) correct 44% (00:33) wrong based on 48 sessions

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Tom and Jack are in a line to purchase iphones. How many people are in the line?

(1) There are 20 people behind Tom and 20 people in front of Jack.

(2) There are 5 people between Tom and Jack.

My thought is since there are 20 people behind Tom and 20 people infront of Jack, so there are 19 people between Tom and Jack.

(2) I think it is correct. Because total people would be 7.
Senior Manager
Joined: 03 Mar 2010
Posts: 401
Schools: Simon '16 (M)
Re: Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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09 Jul 2011, 04:17
(1) There are 20 people behind Tom and 20 people in front of Jack.

20 T J 20
Total = 42

20 T 1 J 20
Total = 43

2) There are 5 people between Tom and Jack.

T 5 J
Total = 7
20 T 5 J
Total = 27
Not sufficient.

Together, 20 T 5 J 20
Total = 47
14 J 5 T 14
Total = 35

OA E
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Intern
Joined: 03 Mar 2018
Posts: 19
Re: Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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21 Jun 2018, 11:20
tracyyahoo wrote:
Tom and Jack are in a line to purchase iphones. How many people are in the line?

(1) There are 20 people behind Tom and 20 people in front of Jack.

(2) There are 5 people between Tom and Jack.

My thought is since there are 20 people behind Tom and 20 people infront of Jack, so there are 19 people between Tom and Jack.

(2) I think it is correct. Because total people would be 7.

Statement 1: There are 20 people behind Tom and 20 people in front of Jack.

This means 20 + Jack + Tom + 20 (total 42 people) or 19+Tom+Jack+19 (total 40 people). Insufficient

Statement 2:There are 5 people between Tom and Jack.

This means x+Jack+5+Tom+y (total unknown number of people) Insufficient

Both statements put together, they're still Insufficient since we don't know the order between Tom and Jack.
20+Jack+5+Tom+20 (total 47 people) or 14+Tom+5+Jack+14 (total 35 people).

Therefore, Correct answer is Option E.
Manager
Joined: 04 Aug 2010
Posts: 95
Schools: Dartmouth College
Re: Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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21 Jun 2018, 12:31
tracyyahoo wrote:
Tom and Jack are in a line to purchase iphones. How many people are in the line?

(1) There are 20 people behind Tom and 20 people in front of Jack.

(2) There are 5 people between Tom and Jack.

Let the line be as follows:
FRONT...BACK
Let J = Jack, T = Tom, and X = a person other than Jack or Tom.

Both statements are satisfied by the following cases.

Case 1:
X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-J-X-X-X-X-X-T-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X-X
Total number of people = 47.

Case 2:
X-X-X-X-X-X-X-X-X-X-X-X-X-X-T-X-X-X-X-X-J-X-X-X-X-X-X-X-X-X-X-X-X-X-X
Total number of people = 35.

Since the total number of people can be different values, the two statements combined are INSUFFICIENT.

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Re: Tom and Jack are in a line to purchase iphones. How many people are in   [#permalink] 21 Jun 2018, 12:31
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