Multiple choice general knowledge math & puzzles

A,B and C are playing cricket. A's runs are to B's runs and B's runs are to C's runs as 3:2. They get 342 runs in total. How many runs did A score?

  1. 162

  2. 108

  3. 72

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given A:B = 3:2 and B:C = 3:2. Let B = 6x (LCM of 2 and 3). Then A = 9x (since A/B = 3/2) and C = 4x (since B/C = 3/2 → C = 2B/3 = 4x). Total runs = 9x + 6x + 4x = 19x = 342. So x = 18. Therefore A's runs = 9x = 9 × 18 = 162. Check: B = 108, C = 72, total = 162+108+72 = 342 ✓.

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