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

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Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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New post 09 Jul 2011, 03:43
1
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A
B
C
D
E

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.
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Re: Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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New post 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
Two answer. Not sufficient.

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

Two answer. Not sufficient.

OA E
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Re: Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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New post 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.
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Re: Tom and Jack are in a line to purchase iphones. How many people are in [#permalink]

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New post 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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