Quantitative Aptitude - Arithmetic Ability Questions

Expand and simplify (x + 4)2 + (x -­ 2)2

If cos 135° = x, then the value of x is

If cot 60° + cosec 60° = x, then the value of x is

Coefficient of x in (x + 9)(8 - 5x) is

The slopes of two lines are 1 and √3. What is the angle between these two lines?

If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?

If 4r = h + r2+h2 then r: h = ? (r not equal to 0)