Quantitative Aptitude - Arithmetic Ability Questions

Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

In a rectangle _____.

For triangle PQR, find equation of altitude PS if co-­ordinates of P, Q and R are (1,2), (2,­-1) and (0,5) respectively?

An angle is greater than its complementary angle by 30°. Find the measure of the angle?

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Y­axis to (4,­3). The co­-ordinates of point P are

Simplify (b2x 3a2z4 ) × (b2x 4a4z3 )/(a3b2z4 )