Quantitative Aptitude - Arithmetic Ability Questions

A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

Δ DEF is right angled at E. If m∠D = 45%., then Cosec F =

The fraction from the ones listed below that will NOT lead to a recurring decimal is

The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is

What is the altitude of an equilateral triangle whose side is 12 cm?

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)?

In a one day match of 50 overs in an innings the Team A had a run rate of 6.1 runs per over. Team B is playing and 10 overs are left and the required run rate to tie the match is 6.5 per over. What is Team B's score now?