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# Henry and Eleanor are waiting in line for a movie. If Henry is fourth

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4128
GPA: 3.39
Henry and Eleanor are waiting in line for a movie. If Henry is fourth  [#permalink]

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Updated on: 21 Dec 2018, 07:51
2
00:00

Difficulty:

45% (medium)

Question Stats:

52% (01:10) correct 48% (00:51) wrong based on 39 sessions

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Henry and Eleanor are waiting in line for a movie. If Henry is fourth in line, and there are n people ahead of Eleanor, where n > 4, how many people are between Henry and Eleanor?

A. n - 5
B. n - 4
C. n - 3
D. n + 3
E. n + 4

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Last edited by SajjadAhmad on 21 Dec 2018, 07:51, edited 1 time in total.
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Joined: 15 Jan 2018
Posts: 609
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Re: Henry and Eleanor are waiting in line for a movie. If Henry is fourth  [#permalink]

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21 Dec 2018, 00:06
Let as assign position values to each of the people standing in the queue.
Henry is fourth is the line, and hence the position/rank of Henry = 4

Given that there are n people ahead of Eleanor, where n>4. So, Eleanor cannot be in any position between 1 and 4 (Henry's position)
Since n people ahead of Eleanor, the position/rank of Eleanor = n+1

In order to find the number of people between Henry and Eleanor, we simply need to subtract the position of Henry from Eleanor, i.e. (n+1) - 4 = n - 3
Hence, the correct option is answer choice C. n - 3
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Re: Henry and Eleanor are waiting in line for a movie. If Henry is fourth  [#permalink]

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21 Dec 2018, 01:05
3
Henry and Eleanor are waiting in line for a movie. If Henry is fourth in line, and there are n people ahead of Eleanor, where n > 4, how many people are between Henry and Eleanor?

A. n - 5
B. n - b
C. n - 3
D. n + 3
E. n + 4

Could you please check the option B? Is it (n-b) or something else?

DisciplinedPrep wrote:
In order to find the number of people between Henry and Eleanor, we simply need to subtract the position of Henry from Eleanor, i.e. (n+1) - 4 = n - 3
Hence, the correct option is answer choice C. n - 3

DisciplinedPrep

Say there are 8 people in front of Elenor and Henry is in position 4, the no.of people between Eleanor and Henry is coming out to be 4 or (n-4).

E _ _ _ _ H _ _ _

Another example with n=10 people in front of Eleanor.

E _ _ _ _ _ _ H _ _ _

The no of people between Eleanor and Henry is 6=(n-4).

Is there a typo in the options or am I missing something?

Cheers!
Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4128
GPA: 3.39
Re: Henry and Eleanor are waiting in line for a movie. If Henry is fourth  [#permalink]

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21 Dec 2018, 07:49
Diwakar003 wrote:
Henry and Eleanor are waiting in line for a movie. If Henry is fourth in line, and there are n people ahead of Eleanor, where n > 4, how many people are between Henry and Eleanor?

A. n - 5
B. n - b
C. n - 3
D. n + 3
E. n + 4

Could you please check the option B? Is it (n-b) or something else?

DisciplinedPrep wrote:
In order to find the number of people between Henry and Eleanor, we simply need to subtract the position of Henry from Eleanor, i.e. (n+1) - 4 = n - 3
Hence, the correct option is answer choice C. n - 3

DisciplinedPrep

Say there are 8 people in front of Elenor and Henry is in position 4, the no.of people between Eleanor and Henry is coming out to be 4 or (n-4).

E _ _ _ _ H _ _ _

Another example with n=10 people in front of Eleanor.

E _ _ _ _ _ _ H _ _ _

The no of people between Eleanor and Henry is 6=(n-4).

Is there a typo in the options or am I missing something?

Cheers!

You are Absolutely Right, OA Is n - 4, Thanks for spotting this Typo.
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Re: Henry and Eleanor are waiting in line for a movie. If Henry is fourth   [#permalink] 21 Dec 2018, 07:49
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