During 2023, the population of a small village was 45,000 which increased every year by 5%. The population during the year 2024 was:

1. 45,000 + 5% of 45,000

2. 45,000 - 5% of 45,000

3. 45,000 x 5% of 45,000

4. 45,000 ÷ 5% of 45,000

In how many years, will a sum of money double itself at 10% C.I.:

1. 5 years

2. 10 years

3. 8 years

4. none of these

Assertion (A): On a certain sum and at a certain rate,

C.I. for 3rd year = Amount of 3rd year - Amount of 2nd year

Reason (R): A in 3 years = Principal + C.I. for 3 years and A in 2 years = Principal + C.I. for 2 years

⇒ A in 3 years - A in 2 years = C.I. for 3rd year

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.

Assertion (A): Interest for 5th year = Interest in 5 years - Interest in 4 years

Reason (R): Interest of 5th year = Amount in 5 years - Amount in 4 years

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.