Multiple choice

Find the number of common terms in the two series: 33, 41, 49, 57, …, 937 and 25, 31, 37, 43, …, 925

  1. 35

  2. 36

  3. 37

  4. 38
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C Correct answer
AI explanation

The first series is an arithmetic progression with a first term of 33 and a common difference of 8, giving the general term 8n + 25. The second series is an arithmetic progression with a first term of 25 and a common difference of 6, giving the general term 6m + 19. Setting them equal yields 8n + 25 = 6m + 19, which simplifies to 3m - 4n = 3; solving this shows common terms occur at regular intervals and amount to 37 within the given limits.

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