H.C.F of x² + 3x + 2 and x² - 2x - 3 is :

1. (x + 1)

2. (x + 1)(x + 2)(x - 3)

3. 1

4. none of these

(3a - 1)² - 6a + 2 is equal to:

1. (3a - 1)(a - 1)

2. 3(3a - 1)(a - 1)

3. (3a - 1)(a + 1)

4. 3(3a - 1)(a + 1)

(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: ₹ (x³ - x) is spent in buying some identical articles at ₹ (x - 1) each. Number of articles bought = $\dfrac{x^3 - x}{x - 1}$

Statement 2: Number of articles bought = $\dfrac{x^3 - x}{x - 1} = \dfrac{x(x - 1)(x + 1)}{x - 1} = x^2 + x$

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.