Question : What is the value of [7 ÷ 14 × 8 + (5 ÷ 15 × 6 - 4 × 3)]?
Option 1: - 4
Option 2: - 2
Option 3: - 6
Option 4: - 5
Correct Answer: - 6
Solution :
Given expression,
[7 ÷ 14 × 8 + (5 ÷ 15 × 6 – 4 × 3)]
Using the BODMAS Rule,
B – Brackets, O – Of, D – Division, M – Multiplication, A – Addition, and S – Subtraction
= [7 ÷ 14 × 8 + ($\frac{5}{15}$ × 6 – 4 × 3)]
= [7 ÷ 14 × 8 + ($\frac{1}{3}$ × 6 – 4 × 3)]
= [7 ÷ 14 × 8 + (2 – 4 × 3)]
= [7 ÷ 14 × 8 + (2 – 12)]
= [7 ÷ 14 × 8 – 10]
= [$\frac{7}{14}$ × 8 – 10]
= [$\frac{1}{2}$ × 8 – 10]
= [4 – 10]
= – 6
Hence, the correct answer is – 6.
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