Quantitative Aptitude - Arithmetic Ability Questions

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

If sec2θ+tan2θ=3, then sec4θ-tan4θ =

Two numbers are 40% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

If 2y cosθ = x sinθ and 2x secθ - y cosecθ = 3 then what is the value of x2+4y2

The number of pupils of a class is 55. The ratio of the number of male pupils to the number of female pupils is 5: 6. The number of female pupils is

If X=32, then the value of 27x3-54x2+36x-11 is

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 is :