Quantitative Aptitude - Arithmetic Ability Questions

A discount of 45% on an article is equal to the discount of 65% on other article. What is the respective ratio of the marked price of both the articles?

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

4 + 16 x -12 x 24 - 13 - 3 ÷ 20 - 4 = ?

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

Two valves P and B can fill a sump in 37.5 minutes and 45 minutes respectively. Both valves are opened. The sump will be filled in just 30 minutes, if valve B is turned off after

Pipes A and B, when working together, can fill an empty tank in 8 hours. If B is stopped after 2 hours, it will take a total of 11 hrs to fill the tank. How long would it take A to fill the empty tank alone?

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?