Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?

Volume of a cylinder is 13860 cubic cm. If circumference of its base is 132 cm, find the curved surface area of the cylinder?

Sita's bucket has thrice the capacity as Ramu's bucket. It takes 60 turns for Sita's bucket to fill the empty drum. How many turns it will take for both the buckets of Sita's and Ramu's, having each turn together to fill the empty drum?

If 4(x + 5) -­ 3 > 6 -­ 4x ≥ x -­ 5; then the value of x is

If ( x - 5)2 + (y - 2)2 + (z - 9)2 = 0, then value of (x + y - z) is

The value of 8(sin6θ + cos6θ) - 12(sin4θ + cos4θ) is equal to

The sum of 4x + 3y ­ 7z, x ­ y ­ z and ­2x ­ 3y + 4z is

If x + 3 ≤ 4x + 4 and 3(4 - x) - 4 ≥ 2x - 2, then x can take which of the following values?