Quantitative Aptitude - Arithmetic Ability Questions

The least value of tan2x + cot2x is

The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

If Giridhar's salary is 5/3 times of Hariraj's and Shaunak's is 2/3 times of Hariraj's, what is the ratio of Giridhar's salary to Shaunak's.

From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?