Which of the following numbers will replace the question marks (?) in the given series? 16, 36, 64, ?, ?, 196, 256, 324

Question

Accepted Answer

The given series is: 16, 36, 64, ?, ?, 196, 256, 324.

Step 1: Recognize the pattern in the numbers.
- 16 = 4^2
- 36 = 6^2
- 64 = 8^2
- 196 = 14^2
- 256 = 16^2
- 324 = 18^2

Step 2: The numbers are perfect squares of even numbers increasing by 2 each time:
4, 6, 8, ?, ?, 14, 16, 18

Step 3: The missing numbers correspond to squares of 10 and 12:
- 10^2 = 100
- 12^2 = 144

Therefore, the missing numbers are 100 and 144.

Hence, the correct option is 4. 100, 144.

Answer

Answer

Answer