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 $(7 x+y):(7 x–y)=7: 2$, 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 $x=-1$, then the value of $\frac{1}{x^{99}}+\frac{1}{x^{98}}+\frac{1}{x^{97}}+\frac{1}{x^{96}}+\frac{1}{x^{95}}+\frac{1}{x^{94}}+\frac{1}{x}-1$ is:

Option 1: 1

Option 2: 0

Option 3: –2

Option 4: –1

Question : If $A=\frac{2}{3} \div \frac{4}{9}, B=\frac{6}{11} \times\frac{33}{12}$ and $C=\frac{1}{3} \times \frac{9}{2}$, then what is the value of $A \times B-C$?

Option 1: $\frac{3}{8}$

Option 2: $\frac{3}{2}$

Option 3: $\frac{3}{4}$

Option 4: $\frac{3}{16}$

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