If a number is multiplied by 3, its square will be multiplied by :

1. 9

2. 3

3. 27

4. 81

Two numbers are in the ratio 5 : 4. If the difference of their cubes is 61; the numbers are :

1. 5 and 4

2. 25 and 16

3. 10 and 18

4. none of these

Statement 1: Cubes of all odd natural numbers are odd.

Statement 2: Cubes of negative integers are positive or negative integers.

Which of the following options is correct?

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.