Quantitative Aptitude - Arithmetic Ability Questions

In a triangle XYZ , which of the following conditions is true

If sin8 θ + cos8 θ – 1 = 0, then what is the value of cos2 θ sin2 θ (If θ ≠ 0 or π/2)?

a and b are irrational numbers such that a+b = q is a rational number; then a­b is

A shopkeeper marks up his wares by 60% and offers 25% discount. What will be the selling price (in Rs) if the cost price is Rs 1600?

An article was sold for Rs. 2,400 at a discount of 20%. Find the selling price, if the discount was 25%.

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

The solution set of 4x - 3y = 47 and 3x + y = 32 is

What is the value of tan 300°?