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Three positions of a cube are given below. Which alphabet will be at the top, if alphabet G is at the bottom ?

Three positions of a cube: first W on top, P in front, T on the right face; second K on top, G in front, S on the right; third P on top, W in front, K on the right

  • A.T
  • B.W
  • C.K
  • D.P

Answer: D

With G at the bottom, P is at the top.

First, K is shown next to G and S (second view) and next to P and W (third view), so the only face it can be opposite is T.

Now hold the cube as in the first view: W on top, P in front, T on the right, and therefore K on the left. G and S must be the back and bottom faces. Suppose G is at the back and S at the bottom, and roll the cube to the right so that K comes to the top: W moves to the right side and S to the left. Turn the cube half round so that G comes to the front: S, which was on the left, is now on the right. That is exactly the second view (K top, G front, S right), so the supposition is correct.

G is therefore opposite P, and when G is at the bottom, P is at the top. T is opposite K, and W is opposite S, so neither can be on top with G below.

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