An observer at point E, which is at a certain distance from the lamp post AB, finds the angle of elevation of top of lamp post from positions C, D and E as α, β and γ. It is given that B, C, D and E are along a straight line.

Which of the following conditions is satisfied ?

1. tan α > tan β

2. tan β < tan γ

3. tan γ > tan α

4. tan α < tan β

(i) Shares of company A, paying 12%, ₹ 100 shares are at ₹ 80.

(ii) Shares of company B, paying 12%, ₹ 100 shares are at ₹ 100.

(iii) Shares of company C, paying 12%, ₹ 100 shares are at ₹ 120.

Shares of which company are at premium ?

1. Company A

2. Company B

3. Company C

4. Company A and C

For the given 25 variables :

x₁, x₂, x₃, ……………., x₂₅.

Assertion (A) : To find the median of the given data, the variate needs to be arranged in ascending or descending order.

Reason (R) : The median is the central most term of the arranged data.

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

Shown alongside is a horizontal water tank composed of a cylinder and two hemispheres. The tank is filled up to a height of 7 m. Find the surface area of the tank in contact with water. Use $\pi = \dfrac{22}{7}$.