Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of (sec4 A – tan2 A) – (tan4 A + sec2 A)?

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)

If P : Q = 9 : 7, then what is the value of (P – Q) : (P + Q)?

A sum of money invested at simple interest becomes 13/10 of itself in 2 years and 6 months. What is the rate (in percentage) of interest per annum?

If x+5+1x+1=6 then the value of (x+1)3+1(x+1)3 is

What is the slope of the line parallel to the line passing through the points (3 , -4) and (-2 , 5)?

Number of circles that can be drawn through three non-colinear points is

The total surface area of a hemisphere is 462 sq.cm. Find its diameter (in cm).