Quantitative Aptitude - Arithmetic Ability Questions

The line passing through (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use π = 22/7)

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

What is the value of sin (90° + 2A)[4 – cos2(90° – 2A)]?

Determine the value of a2+b2a3+b3 when a = 2+√3 and b = 2-√3.

Choose the odd word/letters/number/number pair from the given alternatives.

The upstream speed of the boat is 40 kmph and the speed of the boat in still water is 55 kmph. What is the downstream speed of the boat?

If the length of the side of an equilateral triangle is 6 cm, what is its area?