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MathsJEE Main 2 Apr 2026, Shift 1·Q5·MCQ·Moderate

Sequences & Series · Common terms of two arithmetic progressions

Let AA be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let BB be the set of first 71 terms of an A.P., whose first term is 9 and the common difference is 7. Then the number of elements in A∩BA \cap B, which are divisible by 3, is:
  1. (1)4
  2. (2)5
  3. (3)6
  4. (4)7
We corrected a printing error in the original paper

Source printed “the number of elements is A∩BA \cap B”.

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See the full 2 Apr 2026, Shift 1 paper