If x² + kx + 6 = (x - 2)(x - 3) for all values of x, then the value of k is :

1. -5

2. -3

3. -2

4. 5

A retailer purchased an item for ₹ 1,500 from a wholesaler and sells it to a customer at 10% profit. The sales are intra-state and the rate of GST is 10%. The amount of GST paid by the customer is :

1. ₹ 15

2. ₹ 30

3. ₹ 150

4. ₹ 165

If the roots of equation x² - 6x + k = 0 are real and distinct, then value of k is :

1. > -9

2. > -6

3. < 6

4. < 9

Which of the following is/are an Arithmetic Progression (A.P.) ?

(i) 1, 4, 9, 16, ……..

(ii) $\sqrt{3}, 2\sqrt{3}, 3\sqrt{3}, 4\sqrt{3},$ …………

(iii) 8, 6, 4, 2, ………..

1. only (i)

2. only (ii)

3. only (ii) and (iii)

4. all (i), (ii) and (iii)