1981.MediumMath and Logic

Reverses left/right but not up/down?

  • A.It reverses up/down too
  • B.It's an optical illusion
  • C.Your eyes are curved
  • D.Inverts Z-axis
Answer: Inverts Z-axis

If you point your finger to the right, the mirror image points to the right. The reversal is actually in the 'depth' (front to back) dimension relative to the mirror's surface.

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1982.MediumMath and Logic

Get fair toss from biased coin.

  • A.Toss it once
  • B.Toss it three times
  • C.You can't
  • D.Toss twice
Answer: Toss twice

If you toss twice, the probabilities of HT and TH are both (p * (1-p)). Since these are equal, assigning one to 'Heads' and the other to 'Tails' creates a fair 50/50 result.

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1994.MediumMath and Logic

Measure 4L using 3L and 5L jugs.

  • A.Fill 5 and pour into 3
  • B.Drink 1 liter
  • C.Estimate half a jug
  • D.Fill/pour sequence
Answer: Fill/pour sequence

Fill 3, pour into 5. Fill 3 again, pour into 5 until full. 1L remains in the 3L jug. Empty 5, put that 1L in. Fill 3 and add to the 5L jug to get 4L.

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