Quantitative Aptitude - Arithmetic Ability Questions

The greatest perfect square number of 6 digits is

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

The surface area of a sphere is 1386 cm2.  Find its diameter (in cm)

The value of 1+tan2∅(1-sin2∅) is

What is the simplified value of 18 - 12 ?

Triangle DEF is right angled at E. If cot D = 5/12, then what is the value of sin F?

The line passing through (­3,4) and (0,3) is perpendicular to the line passing through (5,7) and (4,x). What is the value of x?

From a point P on a level ground , the angle of elevation to the top of the tower is 30° . If the tower is 100m high , the distance of point P from the foot of the tower is ( Take √3 = 1.73)