Quantitative Aptitude - Arithmetic Ability Questions

If three numbers are in the ratio 2 : 3 : 5 and the twice their sum is 100. Find the square of the largest of the three numbers.

Determine the value of a2+b2a3+b3 when a = 2+√3 and b = 2-√3.

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

The length of the diagonal of a square is 10 cm. What is area of this square?

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

What will be the average of the first 5 positive even numbers divisible by 9?

A dealer sells a machine having marked price as Rs 3840 at a discount of 20%. What is the selling price (in Rs) of the machine?

If u : v = v : w, then what is the value of u4 : v4?