Question : P = 18 × 9 ÷ 6 + 5 × 15 ÷ 25 and Q = 15 ÷ 5 × 5 – 25 ÷ 5, what is the value of (P ÷ Q)?
Option 1: 2.5
Option 2: 2
Option 3: 3
Option 4: 1.5
Correct Answer: 3
Solution :
P = 18 × 9 ÷ 6 + 5 × 15 ÷ 25
⇒ P = 18 × $\frac{3}{2}$ + 5 × $\frac{3}{5}$
⇒ P = 27 + 3
⇒ P = 30
Q = 15 ÷ 5 × 5 – 25 ÷ 5
⇒ Q = 3 × 5 – 5
⇒ Q = 10
$\therefore$ (P ÷ Q) = (30 ÷ 10) = 3
Hence, the correct answer is 3.
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