Quantitative Aptitude - Arithmetic Ability Questions

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 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?

The average revenues of 11 consecutive years of a company is Rs 69 lakhs. If the average of first 6 years is Rs 64 lakhs and that of last 6 years is Rs 76 lakhs, what is the revenue for the 6th year?

If sinθ+cosecθ=2, the value of sinnθ+cosecnθ is

The area and the length of one of the diagonals of a rhombus is 84 cm² and 7 cm respectively. Find the length of its other diagonal (in cm).

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?

The LCM of two numbers is 66. The numbers are in the ratio 2:3. The sum of the numbers is

If Sin x = 4/5, then Cosec x + Cot x =