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SajjadAhmad
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

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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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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SajjadAhmad
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
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SajjadAhmad
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

If n = 5, there are 5 people ahead of Eleanor (which means that Eleanor is 6th in line). Since Henry is the fourth person, there is only 1 person between Henry and Eleanor. Looking at the choices, we see that only n - 4 yields the result of 1 when n = 5, so that is the correct answer.

Answer: B
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