Question

What will come in place of the question mark (?) in the following question ? \[ \frac{120 - 22 \times 6 \div 2}{\frac{1}{4} \text{ of } 256 \div 16 + 2} = ? \]

• A. 9
• B. \( 3\frac{1}{3} \)
• C. 6
• D. 8

Hint:

Always follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction) carefully when simplifying expressions.

Answer 1

The Correct Option is A

Step 1: Simplify the numerator \[ 120 - 22 \times 6 \div 2 \] First calculate: \[ 22 \times 6 = 132,\quad \text{then} \quad 132 \div 2 = 66 \] Now subtract: \[ 120 - 66 = 54 \] Step 2: Simplify the denominator \[ \frac{1}{4} \text{ of } 256 \div 16 + 2 \] Calculate step-by-step: \[ \frac{1}{4} \times 256 = 64,\quad 64 \div 16 = 4,\quad 4 + 2 = 6 \] Step 3: Final division \[ \frac{54}{6} = 9 \]