A cistern can be filled by two pipes A and B in 4 hours and 6 hours respectively. When full, the tank can be emptied by a third pipe C in 8 hours. If all the taps be turned on at the same time, the cistern will be full in 

Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45⁰. Find the length of the flagstaff (Take √3 = 1.732) 

The angle of elevation of sun changes from 30 ° to 45 °, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

From the top of an upright pole $$24\sqrt { 3} $$ feet high, the angle of elevation of the top of an upright tower was 60⁰. If the foot of the pole was 60 feet away from the foot of the tower, what tall (in feet) was the tower?

If the length and breadth of a rectangle are increased by 8 % and 12 % respectively, then by what percent does the area of that rectangle increase? 

DIRECTIONS: These questions are based on the following information.
A company XYZ Ltd has three units - P, Q and R. In each of these units there are five departments— Production, Marketing, Finance, HR and Accounts. The total number of employees in P, Q and R are in the ratio 3 : 5 : 4. The total number of employees in Production, Marketing, Finance, HR and Accounts in all the three units together are in the ratio 5 : 3: 1 : 1: 2. The ratio of the number of male employees of XYZ Ltd to that of the female employees of XYZ Ltd is 2 : 1. In each of the three units, there is no female employee in the Production department and no male employee in the HR department. In each of Marketing, Finance and Accounts departments at each of the units, males and females are equal in number. Also the total number of employees in Marketing, Finance and Accounts departments are equally distributed among each of the units. The company has 36,000 employees in total and the number of male employees in the production department at P, Q and R are in the ratio 2 : 8: 5.

In which unit the number of female employees as a percentage of the total number of employees is the highest?