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Stone A balances with two stones of type B, and stone B balances with three stones of type C. Which stone is the heaviest?

medium MCQ 2 marks Class 3 · Mathematics · Who is Heavier
  1. Stone A is heavier
  2. Stone B is heavier
  3. Stone C is heavier
  4. Cannot determine
Answer
Stone A is heavier

The correct answer is Stone A is heavier — Therefore stone A is heaviest.

Step-by-step solution

  1. Let weight of stone A = A, B = B, C = C.
  2. From the balance, A = 2B.
  3. Also, B = 3C.
  4. Substitute B in first equation: A = 2(3C) = 6C.
  5. Thus A = 6C, B = 3C, C = C.
  6. Comparing, 6C > 3C > C.
  7. Therefore stone A is heaviest.
Common mistake: Assuming equal weights instead of multiples.

Concept tested: Using balance to compare multiple stones

Published · How this solution was prepared and checked

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