Simplify the following expression. (60 + 64 ÷ 4 of 4) × \1000 ÷ ((10 of (3 + 2)) × 2 of 5)\ - 28 + (100 × 3 of 3)

Question

Simplify the following expression.

(60 + 64 ÷ 4 of 4) × \1000 ÷ ((10 of (3 + 2)) × 2 of 5)\ - 28 + (100 × 3 of 3)

1. A. 1000 (Correct answer)
2. B. 100
3. C. 500
4. D. 600

Correct Answer

Option A — 1000

Detailed Solution & Explanation

The correct answer is 1000.

Key Points

• '$\text{of} is done first: $64\div(4\text{ of }4)=64\div16=4$, so the first bracket $=60+4=64$.
• Middle: $10\text{ of }(3+2)=50$, $2\text{ of }5=10$, so $1000\div(50\times10)=1000\div500=2$; and $100\times(3\text{ of }3)=900$.
• $64\times2-28+900=128-28+900=1000$.