Question 1

The value of $$\frac{7 + 8 \times 8 \div 8  of  8 + 8 \div 8 \times 4  of  4}{4 \div 4  of  4 + 4 \times 4 \div 4 - 4 \div 4  of  2}$$ is:

Solution

$$\frac{7 + 8 \times 8 \div 8 of 8 + 8 \div 8 \times 4 of 4}{4 \div 4 of 4 + 4 \times 4 \div 4 - 4 \div 4 of 2}$$
On solving by the BODMAS rule,
= $$\frac{7 + 8 \times 8 \div 64 + 8 \div 8 \times 16}{4 \div 16 + 4 \times 4 \div 4 - 4 \div 8}$$
= $$\frac{7 + 1 + 1 \times 16}{\frac{1}{4} + 4 \times 1 - \frac{1}{2}}$$
= $$\frac{7 + 1 + 16}{\frac{1}{4} + 4 - \frac{1}{2}}$$
= $$\frac{24}{\frac{15}{4}}$$
= $$\frsc{96}{15}$$ = 6.4
$$\therefore$$ The correct answer is option D.


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