Quantitative Aptitude - Arithmetic Ability Questions

Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?

If x+19x=4, then 9x2+19x2 is

If sinA + sin2A = 1 then what is the value of cos2A + cos4A ?

If Sec θ = 13/12, then what is the value of Sin θ?

Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number? 

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

I. x2+ 30x + 81 = 0

II.y2-9y -162 = 0

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

Number of composite numbers lying between 67 and 101 is