Quantitative Aptitude - Arithmetic Ability Questions

A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?

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

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

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?

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

The areas of two similar triangles ΔABC and ΔPQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

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 )?