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MCQ Analytical Reasoning - Grouping and Selection

The CAT Online Free Test Prep MCQs Analytical Reasoning - Grouping and Selection

Analytical Reasoning: Grouping and Selection

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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:

Which one of the following is an acceptable combination of paintings for inclusion in the exhibit?
Option A:      T, U, V, X, Y
Option B:      T, U, V, Y, Z
Option C:      T, W, X, Y, Z
Option D:      U, V, W, Y, Z
Option E:      U, V, X, Z, Y
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: E

Explanation Video

Explanation

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

Let’s explore all individual options:

  • T, U, V, X, Y ⇒ This is not valid as it violates 1st condition.
  • T, U, V, Y, Z ⇒ This is not valid as V requires X, which can’t be together with T.
  • T, W, X, Y, Z ⇒ This is not valid as it violates 1st condition.
  • U, V, W, Y, Z ⇒ This is not valid as it violates 3rd condition.
  • U, V, X, Z, Y ⇒ This is valid as it doesn’t violates any condition.

Hence answer is U, V, X, Z, Y.
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How to Solve Grouping and Selection

For Grouping and Selection question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.