Quantitative Aptitude - Arithmetic Ability Questions

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

If sec2θ+tan2θ=3, then sec4θ-tan4θ =

If cosαcosβ=m and cosαsinβ=n,then the value of m2+n2 cos2β is

If x = at2 and y = 2at then

In a motor of 120 machine parts, 5% parts were defective. In another motor of 80 machine parts, 10% parts were defective. For the two motors considered together, the percentage of defective machine parts were

In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

Bipul is 16 years younger than Saibal. 12 years hence, Saibal's age will be 1.5 times that of Bipul. Saibal is now ___ years old.

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is