Assertion (A): The ratio between the edges of three cubes is 2 : 3 : 4. The ratio between their volumes is 4 : 9 : 16.

Reason (R): The ratio between their volumes = 2³ : 3³ : 4³ = 8 : 27 : 64.

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 internal area of cross-section of a pipe is 21 cm². Water runs through this pipe at a speed of 5 km/h. The volume of water that runs through the pipe in 2 minutes = 21 cm² x 5 km/h x 2 minutes

Reason (R): The volume of water that runs through the pipe in 2 minutes = area of cross-section in cm² x speed of water through it in cm/s x time in seconds

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): If C is mid-point of BD, tan ∠DAB : tan ∠CAB = 2 : 1

Reason (R):

$\dfrac{\text{tan}∠DAB}{\text{tan}∠CAB} = \dfrac{\dfrac{BD}{AB}}{\dfrac{BC}{AB}} = \dfrac{BD}{BC} = \dfrac{2\times\cancel{BC}}{\cancel{BC}}=\dfrac{2}{1}$

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): If 4 cos θ = 11 sin θ, the value of $\dfrac{11\text{cosθ} - 7 \text{sinθ}}{11 \text{cosθ} + 7 \text{sinθ}}=\dfrac{93}{149}$.

Reason (R): tan θ = $\dfrac{\text{sin θ}}{\text{cos θ}}$

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.