A Tourist Can Tour Utmost Four Places Out of A, B, C, D, E, F and G. Out of Four, Not More than Two Can Come Under Holiday Tour and at Least Two Must Come Under Business Trip. - Logical Reasoning

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MCQ

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A tourist can tour utmost four places out of A, B, C, D, E, F and G. Out of four, not more than two can come under holiday tour and at least two must come under business trip. The break up is as follows:

Four members have to be nominated to a Committee and there are six candidates: A, B, C, D, E and F. The following restrictions hold good:

(A) If A is nominated, then D does not find any place.

(B) If B is nominated, then either E or F has to be nominated, but not both.

(C) If C is nominated, then both D and E have to be nominated.
Which one of the following is an acceptable combination?

Options

  • A, B, C and E

  • A, B, C and D

  • B, C, D and E

  • B, C, D and F

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Solution

B, C, D and E

Explanation:

'A, B, C and E' is not acceptable because it includes C and E  but not D. Therefore, it violates restriction C. 

'A, B, C and D' is not acceptable because it includes both A and D  which violates restriction A.

'B, C, D and F' is not acceptable because it includes C and D but not E which again violates restriction C.

Only 'B, C, D and E' meets all the restrictions and is, therefore, an acceptable combination.

Concept: Problem Solving Ability (Entrance Exam)
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