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 $(3x+y):(3 x-y)=4: 3$, 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 : The lengths of the parallel sides of a trapezium are $x$ cm and $y$ cm and the area of the trapezium is $\frac{1}{2}\left(x^2-y^2\right) cm^2$. What is the distance between the parallel sides (in cm )?

Option 1: $x$ - $y$

Option 2: $x$ + $y$

Option 3: $y$

Option 4: $x$

Question : The ratio of the LCM of two numbers to the sum of the same two numbers is 12 : 7. If their HCF is 4, what is the product of these two numbers?

Option 1: 192

Option 2: 172

Option 3: 196

Option 4: 169

Question : The product of the two numbers is 6552 and their HCF is 6. What is the LCM of those numbers?

Option 1: 1024

Option 2: 1224

Option 3: 1084

Option 4: 1092