Fill the missing number in the given figure?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 26
Look at the numbers in order:
- $5 = 2^2 + 1$
- $10 = 3^2 + 1$
- $? = 5^2 + 1$
- $50 = 7^2 + 1$
- $122 = 11^2 + 1$
Here, the bases 2, 3, 5, 7, 11 are prime numbers, and each sector contains:
$(\text{prime})^2 + 1$
So the missing value is:
$5^2 + 1 = 25 + 1 = 26$