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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
If F is included in a box, the box must also include which of the following kinds of chocolates?
  1. X and Y
  2. X and Z
  3. A and C
  4. C and D

Answer and explanation

Correct answer: B - X and Z
With F in, Y is out (rule I), so the two from X, Y, Z must be X and Z. B is also out (rule III), and the other two imported kinds come from A, C, D without A with D, i.e. AC or CD. Only 'X and Z' is forced.

Practice for these exams

  • CUSAT CAT Five-Year LL.B.

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