P and Q can do a piece of work in 12 days, Q and R can do a piece of work in 15 days and R and P can do a piece of work in 20 days. Q alone can do the whole work in

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

If $${(2cos^3 A-cosA)\over (sin A- 2 sin^3 A)=1}$$ then what is the value of A?

Three numbers are such that the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, then the average of three numbers is equal to. 

The number of students in a school increases and decreases by 10% respectively in every alternate year. If there was increase in the year 2000 then in how much percentage what happened in the number of students in the vear 2003 in comparison to year 2000.

Directions: The following graph gives Sales, Expense and Capital of a company for a period of five years 1994 to 1998. Read the graph and answer the following questions.

In which year was the ratio of profits to capital the highest?

The value of sin²22° + Sin²68°+ Cot² 30° is:

A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in