Quantitative Aptitude - Arithmetic Ability Questions

In an isosceles triangle ABC, AB = AC, XY || BC. If ∡A = 30, then ∡BXY =

To get number 40, the number 56/9 should be multiplied with

If x2 + ax + b, when divided by x - 3, leaves a remainder of 22 and x2 + bx +a, when divide by x - 3, leaves a remainder of 24, then a + b = ?

What is the value of (tan45° + 1/√2) ?

From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is

2sin[(C+D)/2].sin[(D­-C)/2] is equal to

What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

ΔDEF is right angled at E. If m∠D = 45°, then find the value of (tanF + 1/3).