Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of [(sec3x – tan3x)/(sec x – tan x)] – 2 tan2x – sec x tan x?

In a mixture, ink and water are in the ratio of 8 : 5. If 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11. What is the total quantity (in litres) of water in the new mixture?

If Cos θ = 5/13, then Cosec θ = ?

The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter(in cm) of the other circle.

The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

Choose the odd word/letters/number/number pair from the given alternatives.

A book is sold at three successive discounts of 20%, 20% and 10%. What is the net discount (in percentage)?