Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin 330°?

If Sinx = 4/5, then Sec2x - 1 = ?

If x - 2y = 2 and 3x + y = 20, then the value of (x,y) is

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

An angle is four times its complementary angle. What is the measure of the angle?

If (cotAcotB - 1) / (cotB + cotA) = x, then the value of x is

Select the odd number from the given alternatives.

ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ∠BPC?