In the number series 16, 25, 36, 49, the next term is _______. – UGC NET Question

The given terms are squares of consecutive integers: 4² = 16, 5² = 25, 6² = 36 and 7² = 49. The next integer is 8, so the next term should be 8². Calculating 8² gives 64. Thus, 64 correctly continues the sequence.

Option A:
Option A matches the pattern because it is 8² and follows directly after 7². The extended list 16, 25, 36, 49, 64 represents squares of 4, 5, 6, 7 and 8. This makes the rule clear and consistent.

Option B:
Option B is 56, not a perfect square of any integer and lying between 7² and 8². It cannot be justified under the consecutive square rule. Hence, it is not correct.

Option C:
Option C is 60, which again is not a perfect square and has no natural connection to the sequence. Including it would break the neat square pattern. Therefore, 60 cannot be accepted.

Option D:
Option D is 72, which also is not a perfect square and sits above 8². This choice does not respect the structure based on exact squares. Thus, it is not appropriate.