Asha buys ₹ 20 shares of a company which pays 9% dividend at such a price that she gets a return of 12% on her investment. At what price did she buy each share?

1. ₹ 20

2. ₹ 15

3. ₹ 25

4. ₹ 18

The total surface area of a solid sphere (S₁) and a solid hemisphere (S₂), as shown in the diagram, are equal. The ratio of radii R and r is :

1. 1 : 1

2. 2 : 1

3. $\sqrt3$ : 2

4. 2 : $\sqrt3$

The nature of roots of quadratic equation 3x² − 6x − 3 = 0 are :

1. real and equal

2. real, distinct and rational

3. real, distinct and irrational

4. no real roots

Assertion (A): If a die is rolled, the probability of getting a number greater than 6 is $\dfrac{1}{6}$.

Reason (R): There are six possible outcomes when rolling a die, {1, 2, 3, 4, 5, 6}.

1. (A) is true and (R) is false.

2. (A) is false and (R) is true.

3. Both (A) and (R) are true and (R) is the correct explanation of (A).

4. Both (A) and (R) are true but (R) is not the correct explanation of (A).