What is the value of a⁵ × a⁷ ?

A work is done by three person A, B and C. A alone takes 10 hours to complete the work but B and C working together takes 4 hours, for the completion of the same work. If all of them worked together and completed 14 times of the work, then how many hours have they worked?

A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is

Ratio between two numbers is 3: 4. Product of their H.C.F and L.C.M is 2028. Find sum of the numbers. 

Directions: The following pie-chart represents the result of 600 successful students in various subject of an examination. Study the Pie-chart and answer question.

The number of students passed in English is less than the number of students passed in Mathematics by

The ratio of the area of a square to that of the square drawn on its diagonal is :

Ravi travels 300 km. partly by train and partly by car. He takes 4 hr. to reach, if he travels 60 km. by train and rest by car. He will take 10 minutes more if he were to travel 100 km. by train and rest by car. the speed of the train is:

The price of a pen, a book and a shirt are 56, 72, and 120 respectively. How much minimum rupees should a person take with him so that after purchasing either of articles in whole numbers he saves 20.