Quantitative Aptitude - Arithmetic Ability Questions

The reciprocals of the squares of the numbers 11⁄2 and 11⁄3 are in the ratio

If Cot θ = 21/20, then what is the value of Cosec θ?

If cot π/3c -­ tan π/4c = x, then the value of x is

Reflection of the point (4,­6) in the origin is

A sum fetched a total simple interest of Rs. 7728 at the rate of 7% per year in 8 years. What is the sum?

What is the simplified value of tan (θ/2) + cot (θ/2)?

If a triangle has its orthocenter and centroid of equal length, then which of the following is TRUE about the triangle?

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?