The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.

The values of A and B are :

1. A = 16 and B = 18

2. A = 32 and B = 9

3. A = 9 and B = 32

4. A = 18 and B = 16

If (m + n) : (n - m) = 5 : 2; m : n is :

1. 3 : 7

2. 7 : 3

3. 5 : 3

4. 3 : 5

x : y = 3 : 2 and (x² + y²) : (x² - y²)

Assertion (A) : The value of (x² + y²) : (x² - y²) = 13 : 5

Reason (R) : x : y = 3 : 2

⇒ $\dfrac{x^2 + y^2}{x^2 - y^2} = \dfrac{(3k)^2 + (2k)^2}{(3k)^2 - (2k)^2} = \dfrac{13}{5}$ ; k ≠ 0

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is the correct reason for R.

4. Both A and R are true and R is the incorrect reason for R.

$\dfrac{(x + y)^4}{(x - y)^4} = \dfrac{16}{1}$

Assertion (A) : x : y = 3 : 1

Reason (R) : $\dfrac{x + y}{x - y} = \dfrac{2}{1}$ and $\dfrac{x + y + x - y}{x + y - x + y} = \dfrac{2 + 1}{2 - 1}$

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is the correct reason for R.

4. Both A and R are true and R is the incorrect reason for R.