What is the next number in the series 1 4 9 16 25 ........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Number series

What is the next number in the series?

1, 4, 9, 16, 25, ________?

Let’s break this one down:

- The sequence is: 1, 4, 9, 16, 25.

- These are all perfect squares:

- 1 = 1²

- 4 = 2²

- 9 = 3²

- 16 = 4²

- 25 = 5²

- So the next number should be 6² = 36.

Let’s look at the options:

- Option 1 (30): Not a perfect square, doesn’t fit.

- Option 2 (50): Not a perfect square, doesn’t fit.

- Option 3 (36): Fits the pattern—6 squared.

- Option 4 (45): Not a perfect square, doesn’t fit.

So, the answer is Option 3: 36.

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