Quantitative Aptitude - Arithmetic Ability Questions

In a trapezium ABCD, AB and DC are parallel sides and ∠ ADC = 90°. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm. Then the area of the trapezium ABCD is

What is the smplified value of Sin2A/1+Cos2A ?

If the radius of a circle is increased by 31% its area increases by ______.

Reduce 3596 / 4292 to lowest terms.

A car travels a certain distance at 70 km/h and comes back at 30 km/h. Find the average speed for total journey.

A fraction is greater than its reciprocal by 9/20. What is the fraction?

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

∆XYZ is right angled at Y. If tanX = 24/7, then what is the value of cotZ ?