Quantitative Aptitude - Arithmetic Ability Questions

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

An angle is smaller than its supplementary angle by 70°. What is the measure of the angle?

Calculate the area (in cm2) of a circle of radius 17.5 cm.

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?

If Cos θ = 5/13, then Cosec θ = ?

If cosπ/4c - tanπ/4c = x, then x is

P and Q can complete a task in 50 and 20 days respectively. In how many days can they complete 70% of the task if they work together?

What is the simplified value of (cotA + tan B)/(cot B + tan A)?