$\dfrac{1}{3}$ x² - 2x - 9 is equal to:

1. $\dfrac{1}{3}$ (x - 9)(x + 3)

2. $\dfrac{1}{3}$ (x - 9)(x - 3)

3. $\dfrac{1}{3}$ (x + 9)(x - 3)

4. $\dfrac{1}{3}$ (x + 9)(x + 3)

(x² + 3x) men can do a piece of work in (x² - 2x) days, then one day work of 1 man is :

1. $\dfrac{x + 3}{x - 2}$

2. (x² + 3x)(x² - 2x)

3. $\dfrac{x - 2}{x + 3}$

4. none of these

Statement 1: In part (g), given above, if the number of articles is one more than the cost of each book. Then the number of article is x.

Statement 2: The cost of each book

= ₹ $\dfrac{x^3 - x}{x} = ₹ \dfrac{x(x^2 - 1)}{x} = ₹ (x^2 - 1)$

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): Distance of (x² - 7x + 12) km is covered in (x² - 16) hrs.

Speed = $\dfrac{x^2 - 7x + 12}{x^2 - 16}$ km/hr

Reason (R): Speed = Distance x Time

= (x² - 7x + 12)(x² - 16) km/hr

1. A is true, but R is false.

2. A is false, but R is true.

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

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