Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

39 is 5.2% of?

If  tan2A / (secA -­ 1)2 = x, then the value of x is

∆DEF is right angled at E. If cosD = 5/13, then what is the value of tanF?

In Δ ABC, the median AD is 6 cm and CB is 12 cm, measure of angle CAB is

If cot2A = x, then x is

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is