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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 Y is included in the box, which of the following must also be included?
  1. X
  2. Z
  3. A
  4. B

Answer and explanation

Correct answer: D - B
If Y is in the box, F cannot be (rule I). The 3 imported kinds must then come from A, B, C, D without A and D together (rule II), leaving only {A,B,C} or {B,C,D}. Both contain B (and C), so B must be included.

Practice for these exams

  • CUSAT CAT Five-Year LL.B.

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