Quantitative Aptitude - Arithmetic Ability Questions

Given that tan(θ + 15°) = √3. Then the value of θ is?

If x2 – 4x + 1 = 0, then what is the value of x9 + x7 – 194x5 – 194x3?

The circumference of a circle is 110 cm. Find its radius (in cm).

The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.

Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?

Which one of the following is an irrational number?

If (cotA - cosecA)2 = x, then the value of x is

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is