The compound interest on ₹5000 at 20% per annum for $1\dfrac{1}{2}$ years compounded half-yearly is

1. ₹6655

2. ₹1655

3. ₹1500

4. ₹1565

If the number of conversion periods ≥ 2, then the compound interest is

1. less than simple interest

2. equal to simple interest

3. greater than or equal to simple interest

4. greater than simple interest

Consider the following two statements.

Statement 1: A sum of ₹ 1,000 invested at 10% p.a. rate of interest will earn ₹ 100 interest in first year.

Statement 2: Simple and compound interest is the same for first conversion period at the same rate of interest.

Which of the following is valid?

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): The population of a town in 2015 was 10,000. It grew by 10% every year. So, in the year 2020, the population was 15,000.

Reason (R): Formula used in such problems is V = V_o $\Big(1 + \dfrac{r}{100}\Big)^n$

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).