Assertion (A) : If ∠A + ∠B = 90°, h = $\sqrt{16 \times 9}$ cm

Reason (R) : tan A = $\dfrac{h}{16}$ and tan B = $\dfrac{h}{9}$. Also, A = 90° - B ⇒ tan A = cot B ⇒ tan A × tan B = 1

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) : Lower quartile for the data 9, 11, 15, 19, 17, 13, 7 is 9.

Reason (R) : For finding quartiles, the given data are arranged in descending order of their magnitudes, then lower quartile (Q₁) = $\Big(\dfrac{n}{4}\Big)^{\text{th}} \text{ term or } \Big(\dfrac{n + 1}{4}\Big)^{\text{th}} \text{ term }$, depending whether n is even or odd.

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 age of nine boys is 28 years. If one new boy joins them, new mean age becomes 29 years. The age of new boy is (29 - 28) × 10 years.

Reason (R) : The age of new boy is 29 × 10 - 28 × 9 years.

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) : In tossing two dice simultaneously, n(S) = 36, where S is sample space.

Reason (R) : If a die is tossed n times or n dice are tossed simultaneously, the number of all possible outcomes = 2ⁿ.

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.