Quantitative Aptitude - Arithmetic Ability Questions

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

If Cot θ = 21/20, then what is the value of Cosec θ?

If x=2+3,then the value of x2-x+1x2+x+1 is

All sides are congruent in a _____.

One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 20 cm, what is the area of the rhombus?

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

The volume of a cube is 166.375 cm3. Find its side (in cm).

The radius of the circle is 14 cm, an arc is subtend an angle 54 degree at center. Find the length of the arc (in cm).