Question : What is the value of $(1 ÷ 4) + (1 ÷ 6) - \left \{(1 ÷ 8) ÷ (1 ÷ 4) \right \}$?
Option 1: $-(11÷12)$
Option 2: $-(5÷12)$
Option 3: $-(7÷12)$
Option 4: $-(1÷12)$
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Correct Answer: $-(1÷12)$
Solution : $(1 ÷ 4) + (1 ÷ 6) - \left \{(1 ÷ 8) ÷ (1 ÷ 4) \right \}$ $=(\frac{1}{4}) + (\frac{1}{6}) - {\frac{(\frac{1}{8})}{(\frac{1}{4})}}$ $=\frac{1}{4} + \frac{1}{6} - \frac{1}{2}$ $=\frac{3+2-6}{12}$ $=-\frac{1}{12}$ $= -(1÷12)$ Hence, the correct answer is $-(1÷12)$.
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Question : The value of $\frac{1}{8} × \left[\frac{1}{5}\right.$ of $\left.\frac{11}{2} ÷\left\{\left(\frac{15}{3}-\frac{18}{6}\right)\right\}\right]$ is:
Option 1: $\frac{11}{160}$
Option 2: $\frac{11}{20}$
Option 3: $\frac{8}{11}$
Option 4: $\frac{11}{8}$
Question : The value of $\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$ is:
Option 1: $\frac{2}{15}$
Option 2: $\frac{6}{7}$
Option 3: $\frac{5}{8}$
Option 4: $\frac{4}{5}$
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
Question : If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s?
Option 1: 4 : 12 : 7 : 3
Option 2: 4 : 10 : 6 : 5
Option 3: 6 : 5 : 8 : 10
Option 4: 8 : 12 : 7 : 8
Question : What is the value of (A × B) if A = 7 × 21 ÷ 49 - 8 × 7 ÷ 16 and B = 12 ÷ 6 – 3 × 2 + 5 × 3.
Option 1: –7
Option 2: –4.5
Option 3: –6
Option 4: –5.5
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