If $3^4 \times 9^3 = 9^n$, then the value of n is:

1. 5

2. 7

3. 10

4. none of the above

If $\Big(\dfrac{5}{6}\Big)^5 \times \Big(\dfrac{6}{5}\Big)^{-4} = \Big(\dfrac{5}{6}\Big)^{3x}$, then the value of $x$ is:

1. $\dfrac{1}{3}$

2. $\dfrac{20}{3}$

3. -3

4. 3

Statement 1: (x⁰ + y⁰)(x + y)⁰ = 1, x, y ≠ 0.

Statement 2: (1 + 1)(1 - 1) = 2 x 0 = 0.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Assertion (A) : (-100)³ = -10,00,000

Reason (R) : (-p)^q = p^q; if q is even.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.