Following a certain logic, 64 is related to 16 and 100 is related to 25. Following the same logic, 144 is related to which of the following?

Step 1: Identify the pattern

Given:

• 64 → 16
• 100 → 25

Now observe:

$64 = 8^2$, and $16 = 4^2$
$100 = 10^2$, and $25 = 5^2$

So the relation is:
👉 Take the square root and then divide by 2, and square again.

Or more simply:
👉 Second number = (√first number ÷ 2)²

Check:

• √64 = 8 → 8 ÷ 2 = 4 → $4^2 = 16$ ✔️
• √100 = 10 → 10 ÷ 2 = 5 → $5^2 = 25$ ✔️

Step 2: Apply to 144

√144 = 12
12 ÷ 2 = 6
$6^2 = 36$

 Final Answer:

36