Carcass 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
5Now 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
Cheers,
Brent