Quantitative Aptitude - Arithmetic Ability Questions

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

Find the mean value of 2, 3, 3, 4, 6, 7

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?

If [√(a2 + b2 + ab)] + [√(a2 + b2 – ab)] = 1, then what is the value of (1 – a2 )(1 – b2 )?

If cosec π/4 - ­ sin π/3 = x, then the value of x is

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 12% per annum is Rs 900. What is the value of given sum (in Rs)?

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 18% per annum is Rs 81. The sum is ____.