Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

Find the circumference (in cm) of a circle of radius 17.5 cm.

2sin[(C+D)/2].sin[(D­-C)/2] is equal to

If 2 + 4x < 5 - x/2 and 3x + 3 > -5 - 3x; then x can take which of the following values?

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

In ΔABC measure of angle B is 90 deg. If cosA = 5/13, and AB = 10 cm, then what is the length (in cm) of side BC?

What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?