Which of the numbers given below would come next in the following series of numbers?
1, 9, 25, 49, _________.

Correct option is B

Concept:
The given series consists of numbers that are perfect squares of odd numbers. To find the next number in the series, you need to identify the pattern and continue it.
Series:
1, 9, 25, 49, ?
Solution:
1. First number: 1
· This is the square of 1: 1 (since 1 × 1 = 1).
2. Second number: 9
· This is the square of 3: 9 (since 3 × 3 = 9).
3. Third number: 25
· This is the square of 5: 25 (since 5 × 5 = 25).
4. Fourth number: 49
· This is the square of 7: 49 (since 7 × 7 = 49).
Each number is the square of an odd number, increasing by 2 each time (1, 3, 5, 7...).
To find the next number, we square the next odd number, which is 9:
· 9×9=81
Conclusion:
The next number in the series is 81.
Correct Answer:
(b) 81.