Quantitative Aptitude - Arithmetic Ability Questions

Two students appeared for an examination. One of them secured 16 marks more than the other and his marks were 75% of the sum of their marks. The marks obtained by them are

If cosθ = x2-y2x2+y2, then the value of cotθ is

Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30 ̊ and 45 ̊ respectively. If the height of the tower is 50 m, the distance between the two men is (Take √3 = 1.73)

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

The sum of all prime numbers between 18 and 32 is:

Which of the following numbers is a perfect square?

At least one diagonal bisects the other in a _____.

If y=2secθ and x=3tanθ then x29-y24 is