The coordinates of the incentre of the triangle whose sides are 3x – 4y = 0, 5x + 12y = 0 and y – 15 = 0, are

If a + b + c = 12, a² + b² + c² = 52, then what is ab + bc + ca equal to-

A tap takes 36 hours extra to fill a tank due to leakage equivalent to half of its inflow. The inflow can fill the tank in how many hours?

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.

The number of female employees in the HR and the Marketing departments together is what percentage of the total number of employees in production department ?

A man spends his 2 months income in 3 months and saves Rs 1500 in a year then Find his monthly income? 

A hexagon is inscribed in a circle of radius 14 cm, three of its alternates sides are 22 cm and each and other sides are equal find the length of other three sides?