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MathsJEE Main 22 Jan 2026, Shift 1·Q4·MCQ·Easy–moderate

Probability · Classical probability with divisibility

Two distinct numbers aa and bb are selected at random from 1,2,3,…,501, 2, 3, \ldots, 50. The probability, that their product abab is divisible by 3, is
  1. (1)5611225\dfrac{561}{1225}
  2. (2)6641225\dfrac{664}{1225}
  3. (3)2721225\dfrac{272}{1225}
  4. (4)825\dfrac{8}{25}

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See the full 22 Jan 2026, Shift 1 paper