Question : What is the value of $\frac{11 \times 11-24 \times 6 ~of~ 2+12 \times 12}{4 \times 5+6 \times 2 \div 4}$ ?
Option 1: 1
Option 2: –1
Option 3: 2
Option 4: –2
Correct Answer: –1
Solution :
$\frac{11 \times 11-24 \times 6 ~of~ 2+12 \times 12}{4 \times 5+6 \times 2 \div 4}$
= $\frac{121-24 \times 6 ~of~ 2+12 \times 12}{4 \times 5+6 \times 2 \div 4}$
= $\frac{121-24×12+12 \times 12}{4 \times 5+6 \times 2 \div 4}$
= $\frac{121-288+144}{4 \times 5+6 \times 2 \div 4}$
= $\frac{-23}{20+6 \times 2 \div 4}$
= $\frac{-23}{20+3}$
= $\frac{-23}{23}$ = –1
Hence, the correct answer is –1.
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