If $$ {a\over x}+{b\over y}=m$$ and $$ {b\over x}+{a\over y}=n$$ then x:y will be__

If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

The average temperature of Monday, Tuesday, Wednesday and Thursday is 60°. The average temperature for Tuesday, Wednesday, Thursday and Friday is 63°. If the ratio of temperature for Monday and Friday is 21 : 25, then what is the temperature of Friday ? 

Directions: Study the following pie chart carefully and answer the questions given beside.
The following pie chart gives the information about breakup of six different categories of workers in a company.

The number of Category B workers is what percentage more than that of category D workers?

A sum of money becomes eight times in 3 years, if the rate is compounded annually. In how much time will the amount at the same compound rate become sixteen times? 

ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If ∠BFA=60° and ∠AED=30°, then the measure of ∠ABC is:

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

If 1.5a=0.04 b then find out the value of $$ {b-a\over b+a}$$.