Which option would replace the question mark in the given figure?

14

The correct answer is Option (2) → 14

Step 1: Look for patterns

• Check row-wise sums:

1. Row 1: 7 + 21 + 8 = 36
2. Row 3: 12 + 1 + 23 = 36

Rows 1 and 3 sum to 36.

• Row 2: 17 + ? + 5 = ?

If the same sum pattern holds:

$17+?+5=36  ⟹  ?=36−22=14$

Step 2: Verify column-wise sums (optional check)

• Column 1: 7 + 17 + 12 = 36
• Column 2: 21 + 14 + 1 = 36
• Column 3: 8 + 5 + 23 = 36

Columns sum to 36 as well. Perfect!

Answer: The missing number is 14