Quantitative Aptitude - Arithmetic Ability Questions

If angles of measure (5y + 62°) and (22° + y) are supplementary , then value of y is

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2(5θ/2) – 1]?

If a + b = ­ 8 and a2 + b2 = 34, then value of ab is

Ram is 20 years younger than Shyam. 5 years ago, the ratio of their age was 3:5. The sum of their present age is

In triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm, then what is the value (in cm) of GM ?

What is the least number of complete years in which a sum of money put out at 40% annual compound interest will be more than trebled?

What will be the acute angle between the hour-hand and the minute -hand at 2:13 p.m?

A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm and 8 cm, what is the area of the circle?