Quantitative Aptitude - Arithmetic Ability Questions

What is the area (in square units) of the figure enclosed by the x-axis, the y-axis and the line x + 2y = 6 ?

What is the equation of the line whose y­-intercept is 4 and making an angle of 45° with the positive x-­axis?

If XY = a+23 and YX = 13, then find the value of X2 + Y2X2 - Y2.

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

If x stands for addition, / stands for subtraction, + stands for multiplication and - stands for division, then what is the value of 20 x 8 / 8 - 4 + 2 ?

∆DEF is right angled at E. If m∠F = 45°, then find the value of (cosecD - 1/√3).

From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5m from the banks, then the width of the river is (take √3 = 1.732)