Question : If 60% of P = ($\frac{6}{7}$) of Q, then what is P : Q?
Option 1: 10 : 7
Option 2: 18 : 5
Option 3: 9 : 5
Option 4: 17 : 19
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Correct Answer: 10 : 7
Solution : According to the question $\frac{60P}{100}=\frac{6Q}{7}$ ⇒ $\frac{3P}{5}=\frac{6Q}{7}$ ⇒ $\frac{P}{Q}=\frac{30}{21}=10:7$ Hence, the correct answer is 10 : 7.
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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 : If $\frac{P}{2}=\frac{Q}{5}=\frac{R}{6}$, then what is the value of $P^2:(P+Q)^2:(Q+R)^2$?
Option 1: 10 : 56 : 169
Option 2: 4 : 49 : 121
Option 3: 9 : 64 : 144
Option 4: 16 : 10 : 125
Question : What is the value of $\frac{14+7-12+15-17+2-3+17}{2+7-9+2-4+22} ?$
Option 1: $\frac{23}{20}$
Option 2: $\frac{17}{20}$
Option 3: $\frac{19}{20}$
Option 4: $\frac{33}{20}$
Question : If $p : q = 7 : 5$, then what is the value of $\frac{\left(p^2+q^2\right)}{\left(p^2-q^2\right)} ?$
Option 1: $\frac{48}{7}$
Option 2: $\frac{36}{11}$
Option 3: $\frac{37}{12}$
Option 4: $\frac{38}{5}$
Question : The value of $\frac{2}{3} \times \frac{6}{5} \times \frac{10}{4}+\frac{1}{8}-\frac{3}{8}$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{4}$
Option 3: $\frac{4}{7}$
Option 4: $\frac{7}{4}$
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