Question : If P : Q : R = 4 : 7 : 9 and R : S = 2 : 5, then what is the value of P : S?
Option 1: 8 : 45
Option 2: 1 : 5
Option 3: 9 : 57
Option 4: 10 : 43
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Correct Answer: 8 : 45
Solution : Given, P : Q : R = 4 : 7 : 9 and R : S = 2 : 5 According to the question, (from the given ratios) ⇒ P : S = $\frac{P}{R}$ × $\frac{R}{S}$ = $\frac{4}{9}$ × $\frac{2}{5}$ = $\frac{8}{45}$ = 8 : 45 Hence, the correct answer is 8 : 45.
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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 : Three partners P, Q, and R share profit such that 4 times P's share is equal to 5 times Q's share and equal to 8 times R's share. What is the ratio of the profits of P, Q, and R respectively?
Option 1: 12 : 8 : 7
Option 2: 10 : 8 : 5
Option 3: 14 : 7 : 9
Option 4: 15 : 9 : 8
Question : If 2P = 3Q and 5Q = 4R, then what is the value of P : Q : R ?
Option 1: 8 : 5 : 4
Option 2: 2 : 3 : 5
Option 3: 6 : 4 : 5
Option 4: 7 : 5 : 6
Question : If P = 7 × 4 – 3, Q = 8 ÷ 4 + 2, and R = 14 ÷ 21 × 9, then what is the value of P × Q + R?
Option 1: 96
Option 2: 112
Option 3: 108
Option 4: 106
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
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