Quantitative Aptitude - Arithmetic Ability Questions

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?

What is the area (in square units) of the figure enclosed by the graphs of the lines x = -4, x = 2, y = -2 and y = 3?

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?

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

Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

If Gadadhar's salary is 3/2 times of Haamid's and Sarvesh's is 4/3 times of Haamid's, what is the ratio of Gadadhar's salary to Sarvesh's?

What is the simplified value of sec4θ – sec2θ tan2θ?

Expand and simplify (3x + 2)2*(4x -­ 3) -­ (2x3 - 9x2 + 12x -­ 24)