In the number series 4, 11, 18, 25, the next term is _______. – UGC NET Question

Consecutive terms differ by 7: 11 − 4 = 7, 18 − 11 = 7 and 25 − 18 = 7. This confirms an arithmetic progression with common difference 7. Adding 7 to the last term 25 gives 32. Therefore, 32 is the correct next term in the sequence.

Option A:
Option A is 29, which is only 4 greater than 25 and breaks the consistent step of 7. There is no reason in the earlier terms to reduce the difference. Hence, 29 is not correct.

Option B:
Option B equals 32, coming from 25 + 7 and preserving the constant difference of 7. The series 4, 11, 18, 25, 32 maintains a clear arithmetic structure. This makes 32 the appropriate continuation.

Option C:
Option C is 35, which is 10 more than 25 and introduces a difference of 10 not seen earlier. This would create an irregular jump at the end of the series. Therefore, 35 does not match the pattern.

Option D:
Option D is 36, giving a final difference of 11. Such a difference is unsupported by any prior step and distorts the simple structure. Thus, 36 is not the correct answer.