Question : If x : y = 3 : 4, then the value of $\frac{5x-2y}{7x+2y}$ is:
Option 1: $\frac{7}{25}$
Option 2: $\frac{7}{23}$
Option 3: $\frac{7}{29}$
Option 4: $\frac{7}{17}$
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Correct Answer: $\frac{7}{29}$
Solution : $x : y=3:4$ $⇒\frac{x}{y}=\frac{3}{4}$ Now, $\frac{5x-2y}{7x+2y}=\frac{5\frac{x}{y}-2}{7\frac{x}{y}+2}$ Putting $\frac{x}{y} = \frac{3}{4}$ in above equation, we get, $=\frac{5\times \frac{3}{4}-2}{7\times \frac{3}{4}+2}$ $=\frac{15-8}{21+8}$ $=\frac{7}{29}$ Hence, the correct answer is $\frac{7}{29}$.
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Question : If (7x + y) : (7x – y) = 7 : 3, then what is the value of x : y?
Option 1: 4 : 3
Option 2: 5 : 14
Option 3: 15 : 6
Option 4: 6 : 15
Question : If $(7 x+y):(7 x–y)=7: 2$, then what is the value of $x: y$?
Option 1: 9 : 35
Option 2: 11 : 42
Option 3: 6 : 41
Option 4: 17 : 52
Question : If $(3x+y):(3 x-y)=4: 3$, then what is the value of $x: y$?
Option 1: 5 : 3
Option 2: 7 : 3
Option 3: 5 : 2
Option 4: 7 : 4
Question : If X : Y = 2 : 3 and Y : Z = 6 : 7, then what is the value of (X + Z) : Y?
Option 1: 17 : 14
Option 2: 17 : 15
Option 3: 11 : 6
Option 4: 11 : 8
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: $\frac{33}{20}$
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