Question : If $3: x:: 12: 20$, then what is the value of $x$?
Option 1: 10
Option 2: 6
Option 3: 8
Option 4: 5
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Correct Answer: 5
Solution : Given: $3: x:: 12: 20$ ⇒ $\frac{3}{x}=\frac{12}{20}$ ⇒ $x=\frac{3\times 20}{12}$ $\therefore x=5$ Hence, the correct answer is 5.
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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 $\mathrm{X: Y=3: 2}$, then what is the value of $\mathrm{(X-Y):(X+Y) }$?
Option 1: 4 : 5
Option 2: 1 : 5
Option 3: 8 : 9
Option 4: 3 : 7
Question : If x : y : z = 2 : 3 : 4, then what is the value of 7x : 3y : 2z?
Option 1: $14:9:8$
Option 2: $18:7:12$
Option 3: $12:6:11$
Option 4: $16:9:8$
Question : If $8 : x :: x : 32$, find the positive value of $x$.
Option 1: 20
Option 2: 16
Option 3: 4
Option 4: 12
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
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