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Consider the following pictures of dice :

(The four pictures show the same die. Picture I shows the faces 6, 3 and 2; picture II shows 6, 2 and 4; picture III shows 5, 6 and 4; picture IV shows 1, 4 and 2.)

What is the number opposite to 3 ?

  • A.1
  • B.4
  • C.5
  • D.Data Insufficient

Answer: B

The number opposite 3 is 4.

Numbers seen together on a picture are adjacent, never opposite.

  • 6 is seen with 3, 2, 4 (I, II) and 5 (III), so 6 is opposite 1.
  • 2 is seen with 6, 3, 4 (I, II) and 1 (IV), so 2 is opposite 5.

The remaining pair, 3 and 4, must be opposite each other. 1 is opposite 6 and 5 opposite 2, and the data are sufficient.

A die has three pairs of opposite faces; once two pairs are found, the third is whatever is left.

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