Quantitative Aptitude - Arithmetic Ability Questions

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR =105°, then what is the value of ∠PAR (in degrees)?

A person borrows some money for 8 years at a rate of simple interest. If the ratio of principal and total interest is 5 : 8, then what is the rate ( inpercentage) of interest?

The co-ordinates of the centroid of a triangle ABC are (3,-2). What are the co-ordinates of vertex C if co-ordinates of A and B are (-2,5) and (6,-2) respectively?

If 2x + 5 > 2 + 3x and 2x -­ 3 ≤ 4x -­ 5, then x can take which of the following values?

If a = √2 + 1 and b = √2 - 1, then the value of 1a+1+1b+1 will be

Find the common factor of 3757+ 4357 and 3737+ 4337

If  tan2A / (secA -­ 1)2 = x, then the value of x is

If xy (x + y) = m, then the value of x3 + y3 + 3m is: