Grouping and Selection

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

An artist has exactly seven paintings T, U, V, W, X, Y and Z from which she must choose exactly five to be in an exhibit. Any combination is acceptable provided it meets the following conditions:

If T is chosen, X cannot be chosen
If U is chosen, Y must also be chosen
If V is chosen, X must also be chosen

Question: 2

If painting T is chosen to be among the paintings included in the exhibit which one of the following cannot be chosen to be among the paintings included in the exhibit?

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Correct Answer: B

Paintings: T, U, V, W, X, Y, and Z

To be chosen: 5

Condition:

If T is chosen, X cannot be chosen ⇒ T – X not together
If U is chosen, Y must also be chosen ⇒ U – Y together
If V is chosen, X must also be chosen ⇒ V – X together

Hence, V cannot be chosen because if V is chosen then X has to be chosen which contradicts the condition above.

Grouping and Selection

Question: 2

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Correct Answer: B

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