Quantitative Aptitude - Arithmetic Ability Questions

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°? 

Which one of the following combination of measurements can form the sides of a triangle?

T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

A factory buys 7 machines. 2 Machine­A, 4 Machine­B and rest Machine­C. Prices of the machines are Rs 56000, Rs 45000 and Rs 30000 respectively. Calculate the average cost of these machines.

Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area of the circle?

What is the simplified value of 31253 + 4253 + 36753

The value of sec2θ + 2tanθcotθ - tan2θ is