Question : The ratio of P, Q, and R is 2 : 5 : 7 respectively. If their sum is 840, then what is the difference between P and R?
Option 1: 300
Option 2: 380
Option 3: 200
Option 4: 260
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Correct Answer: 300
Solution : Given: The ratio of P, Q, and R is 2 : 5 : 7 respectively. Their sum is 840. Let the required number be $2x$, $5x$ and $7x$ respectively. According to the question, ⇒ $2x+5x+7x=840$ ⇒ $14x=840$ ⇒ $x=60$ The difference between P and R $=7x-2x=5x=5\times 60=300$ Hence, the correct answer is 300.
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Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?
Option 1: 5 : 7
Option 2: 3 : 4
Option 3: 5 : 9
Option 4: 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 : 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
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 the ratio of the volumes of two cylinders is 6 : 5 and the ratio of their heights is 5 : 24, then what is the ratio of their radii?
Option 1: 12 : 7
Option 2: 5 : 6
Option 3: 1 : 2
Option 4: 12 : 5
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