Quantitative Aptitude - Arithmetic Ability Questions

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

Simplify 486b3x2a4z3/27a3b2z

√(cosec2 -­ 1)/cosecA is equal to?

Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?

If a cone of radius 3.5 cm and height 9.6 cm is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take π = 22/7)

10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

A sum of money becomes 77/50 of itself in 18/5 years when invested at simple interest. What is the rate (in percentage) of interest per annum?