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Q: The six faces of a dice have been marked with the letters A, B, C, D, E and F. If A is adjacent to B, C and E, then which of the following statements is true?
  • A. D is adjacent to F.
  • B. A is adjacent to D
  • C. A is adjacent to F
  • D. B is adjacent to E
Correct Answer: Option A - According to the question, If A is adjacent to B, C and E, then A is opposite to either D or F Hence, from option (a), D is adjacent to F is true (It is definitely true as all faces except D and F are adjacent to A, So definitely either D and F opposite to A and they are not opposite to each other, which implies they are adjacent to each other). Hence, D is adjacent to F. Option (a) will be the correct answer.
A. According to the question, If A is adjacent to B, C and E, then A is opposite to either D or F Hence, from option (a), D is adjacent to F is true (It is definitely true as all faces except D and F are adjacent to A, So definitely either D and F opposite to A and they are not opposite to each other, which implies they are adjacent to each other). Hence, D is adjacent to F. Option (a) will be the correct answer.

Explanations:

According to the question, If A is adjacent to B, C and E, then A is opposite to either D or F Hence, from option (a), D is adjacent to F is true (It is definitely true as all faces except D and F are adjacent to A, So definitely either D and F opposite to A and they are not opposite to each other, which implies they are adjacent to each other). Hence, D is adjacent to F. Option (a) will be the correct answer.