Quantitative Aptitude - Arithmetic Ability Questions

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

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

A train starts moving from a place X at 7:00 a.m. and arrives at another place Y at 1:00 p.m. on the same day. If the speed of the train is 15 m/s, then what will be the distance (in km) covered by the train?

The product of two numbers is 0.432. One of the numbers is 1.6. What is the other number?

Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?

What is the value of sec 4π/3?

(secA - 1)/(secA + 1) is equal to?