Quantitative Aptitude - Arithmetic Ability Questions

If aq-r+br-p-cp-q, then find the value of (pa + qp + rc) is

ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?

In what ratio is the segment joining the points (2,5) and (­6,­10) divided by the y­axis?

Find two numbers such that their mean proportion is 8 and third proportion is 64.

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 1:5 and length of QR is 15 cm, find ST?

If sec (4x - 50°) = cosec(50° - x), Then the value of x is