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Exactly eight clowns - Q, R, S, T, V, W, Y, and Z - get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions:

Conditions:

Y gets out before R.
T gets out before W and immediately after S.
V is neither the first nor the last to get out.
Q is neither the first nor the last to get out.
Which of the following could be a possible order of the clowns getting out of the car?
a) Q, V, S, T, R, Y, W, Z
b) R, T, S, V, Y, W, Q, Z
c) S, V, T, Q, W, Y, R, Z
d) W, T, V, S, Q, Y, R, Z

2 Answers

5 votes

Answer:

None of these satisfy the given conditions, but I feel C is the closest to being correct.

Step-by-step explanation:

A breaks conditions 1, 2, and 4

B breaks conditions 1 and 2

C breaks condition 2 once

D breaks condition 2 twice

If there was a typographical error, I can not help, sorry.

User Alihossein Shahabi
by
8.3k points
2 votes

Final answer:

Among the given options, option (d) W, T, V, S, Q, Y, R, Z is the only sequence that fulfills all the conditions for the order in which the clowns exit the car. The correct option is D.

Step-by-step explanation:

The student's question involves determining a possible order for clowns to get out of a car, given a specific set of constraints. The conditions stated help us to understand how letters (representing clowns) might be arranged about each other, similar to solving a logical puzzle. We use these conditions to test each potential answer.

Let's analyze the provided options against the conditions:

  • Y must get out before R.
  • T must get out before W and immediately after S.
  • V and Q cannot be first or last to get out.

Option (a) can't be correct as Y gets out before R, which violates the first condition.
Option (b) can't be correct as Q is the last to get out, which violates the fourth condition.
Option (c) can't be correct as R is the last to get out, while Y does not get out before R, which fails to satisfy the first and second conditions.
Option (d) follows all conditions correctly: W is first, S is before T, T is immediately before W, V and Q are not first or last. Therefore, the correct order that the clowns could get out of the car is option (d) W, T, V, S, Q, Y, R, Z.

User Vicrobot
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