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Study the information carefully and answer the question. A Confectioner is making gift boxes of chocolates. Each box will contain exactly two kinds of chocolates (white and dark) to be selected from…

Question and options

Study the information carefully and answer the question.
A Confectioner is making gift boxes of chocolates. Each box will contain exactly two kinds of chocolates (white and dark) to be selected from X, Y, and Z and 3 kinds of imported Swiss and Belgian chocolates to be selected from A, B, C, D, and F, with the following restrictions:
(I) Y cannot be in the same box as F
(II) A cannot be in the same box as D
(III) B cannot be in the same box as F

In a box that contains an acceptable assortment of chocolates, which of the following substitutions will always result in another acceptable assortment?
  1. A for D
  2. B for C
  3. F for A
  4. F for B

Answer and explanation

Correct answer: A - A for D
Putting A in place of D always works: the box had D, so it had no A, and A's only restriction is D, which is removed. B for C fails if the box has F. F for A or F for B fails if the box has Y or B.

Practice for these exams

  • CUSAT CAT Five-Year LL.B.

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