Find the coordinates of the point which divides the line segment joining (3,5) (7,9) in the ratio 2: 3.

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their Interior angles of the polygon is 6⁰ . Then the number of sides are 

Vishnu travelled equal distances at speeds of 10 km/hr, 30 km/hr and 8 km/hr and took a total of 15.5 minute to complete. Find the total distance he travelled in km.

A vessel contains some mixture of Water and Alcohol in the ratio 2 ∶ 1. 12 liters of mixture is removed and replaced with water and the final ratio becomes 4: 1. What is the amount of Alcohol in the initial Mixture?

Three Alarm make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is

In how many ways can letter of the word MAILINGS arrange so that M and N always come together? 

PQRS is square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?