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. 

If the difference of interest of two banks of Rs 500 is Rs 2.50, find the difference between their rates.

Any money at the rate of simple interest becomes Rs 1143 in 3 years and Rs 1305 in 5 years Find the rate of principal and interest.

Hari and Mohan contested a panchayat election. Hari got 52 percent votes and defeated Mohan by a margin of 90 votes. What was the total turnout in the election.

In an examination, 30 percent of the students failed in English and 25 percent of the students failed in mathematics. If 15 percent of the candidates failed in both subjects, then what percentage of students passed in both subject.

The cost price of an article should be increased by what percentage so that after giving 20 percent discount on it, 44 percent profit is obtained?

The ratio of the students of one school is 3: 5 with the students of the other school, if in the first school there were 50 students more and in the second there were 80 students less then the ratio would be 5: 6. Find the total number of students in both schools.

What is the value of a⁵ × a⁷ ?