Question

Find the alternative which will replace the question mark in the figure below:

• A. 12
• B. 14
• C. 5
• D. 9
• E. 3

Hint:

In circular puzzles, usually the Left/Right numbers are multiplied or added, while the Top/Bottom numbers involve division or subtraction.

Answer 1

The Correct Option is D

Concept: Identify the mathematical relationship between the outer numbers (Top, Left, Right, Bottom) that results in the center number.

Step 1: Analyze Circle 1. Outer: 45 (T), 7 (L), 6 (R), 9 (B). Center: 47. Calculation: $(7 \times 6) + (45 \div 9) = 42 + 5 = 47$.


Step 2: Analyze Circle 2. Outer: 65 (T), 12 (L), 8 (R), 13 (B). Center: 101. Calculation: $(12 \times 8) + (65 \div 13) = 96 + 5 = 101$.


Step 3: Apply to Circle 3. Outer: 80 (T), ? (L), 8 (R), 16 (B). Center: 77. Let the missing number be $x$. $(x \times 8) + (80 \div 16) = 77$
$8x + 5 = 77 \Rightarrow 8x = 72 \Rightarrow x = 9$.