Assertion (A): The median of a certain set of data is 42. If each data in the set is first increased by 7 and then the result is multiplied by 3, the new median is = (42 + 7) x 3 = 147

Reason (R): The resulting median = 42 + 7 x 3 = 42 + 21 = 63

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): The mean of 5 observations is 30. On excluding one of these observations, the mean of the remaining observation is increased to 31. The excluded observation is

= 5 x 30 - 4 x 31 = 150 - 124 = 26

Reason (R): The excluded observation is = 5 x 31 - 4 x 30 = 155 - 120 = 35

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): The ratio between radius and area of a circle is 7 : 44. If the radius of this circle is doubled, the ratio between the new radius and area of the resulting circle will be 7 : 176.

Reason (R): Given : $\dfrac{r}{πr^2} = \dfrac{7}{44}$

∴ $\dfrac{2r}{r(2r)^2} = \dfrac{r}{2πr^2} = \dfrac{1}{2} \times \dfrac{7}{44} = 7 : 88$

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.

Assertion (A): One pair of opposite sides of a parallelogram are 15 cm each. If the distance between other pair of opposite sides is 8 cm, then area of the parallelogram = 120 cm².

Reason (R): Area of parallelogram = Base x Corresponding height

1. A is true, R is false.
2. A is false, R is true.
3. Both A and R are true.
4. Both A and R are false.