Quantitative Aptitude - Arithmetic Ability Questions

Given that tan(θ + 15°) = √3. Then the value of θ is?

If the arithmetic mean of two numbers is 7 and the geometric mean of the same two numbers is 2√10. Then find the numbers x and y respectively, such that x>y.

A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B and C finish it, working all together?

ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of ΔABC : the area of the trapezium ADEC is

If sin ­- 5π/3 = x, then the value of x is

What is the simplified value of 22433+393-11253?

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

In the following question, select the odd letters from the given alternatives.