Quantitative Aptitude - Arithmetic Ability Questions

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

Rearrange the jumbled up letters in their natural sequence ad find the odd one out.

What are the co­-ordinates of the mid point of the segment joining points C(0,­-3) and D(8,5)?

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

ΔPQR is right angled at Q. If secP = 13/5, then what is the value of sinR ?

∆XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is