Question : If p : q is 5 : 6 and q : r is 2 : 5, then what is p : q : r?
Option 1: 15 : 6 : 5
Option 2: 5 : 6 : 5
Option 3: 5 : 6 : 15
Option 4: 5 : 2 : 6
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Correct Answer: 5 : 6 : 15
Solution : According to the question p : q = 5 : 6 q : r = 2 : 5 Now, ⇒ p : q : r = ( 5 × 2 ) : ( 6 × 2 ) : ( 2 × 3 × 5 ) = 10 : 12 : 30 = 5 : 6 : 15 Hence, the correct answer is 5 : 6 : 15
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Question : If $p: q$ is $4: 3$ and $q: r$ is $5 : 2$. Find $p: q: r$.
Option 1: 20 : 15 : 6
Option 2: 10 : 4 : 7
Option 3: 15 : 6 : 20
Option 4: 7 : 4 : 10
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 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 $\frac{P}{2}=\frac{Q}{5}=\frac{R}{6}$, 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 : 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
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