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Henry and Eleanor are waiting in line for a movie. If Henry is fourth [#permalink]
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SajjadAhmad 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 - 4
C. n - 3
D. n + 3
E. n + 4


We call this a Variables In The Answer Choices (VIAC) question.
This question type can be solved algebraically or solved using the INPUT-OUTPUT approach where we test values.
Let's use the INPUT-OUTPUT approach.

Let's say n = 9, which means there are 9 people ahead of Eleanor.
We got the following: _ _ _ H _ _ _ _ _ E
In this case, there are 5 people between Henry and Eleanor.
In other words, when we INPUT n = 9, the answer to our question (i.e., the OUTPUT) is 5

Now we'll check the answer choices to see which one yields an output of 5 when we input n = 9.
A. 9 - 5 = 4. No good. We want an output of 5.
B. 9 - 4 = 5. PERFECT!
C. 9 - 3 = 6. No good. We want an output of 5.
D. 9 + 3 = 12. No good. We want an output of 5.
E. 9 + 4 = 13. No good. We want an output of 5.

Answer: B

Originally posted by BrentGMATPrepNow on 11 Apr 2020, 07:17.
Last edited by BrentGMATPrepNow on 08 May 2020, 10:50, edited 1 time in total.
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Re: Henry and Eleanor are waiting in line for a movie. If Henry is fourth [#permalink]
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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Diwakar003 wrote:
SajjadAhmad 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


SajjadAhmad

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]
Can someone please help me with this question?? Is n total no. of people in the queue? If it is, then the question statement is not clear. because it says that n people are ahead of Elenor.
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Re: Henry and Eleanor are waiting in line for a movie. If Henry is fourth [#permalink]
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