Quantitative Aptitude - Arithmetic Ability Questions

In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

If √(1 + cot2A)/cotA = x, then the value of x is

If Cos θ = 35/37 , then what is the value of Cot θ?

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

A missile travels at 1278 km/h. How many metres does it travel in one second?

By increasing the price of entry ticket to a fair in the ratio 13:16, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

Common factor of 12a4b6, 18a6c2, 36a2b2 is