Quantitative Aptitude - Arithmetic Ability Questions

∆ABC inscribed in a circle so that BC is a diameter. The tangent at a point C intersects BA when produced at a point D. If ∠ABC=36°then the value of ∠ADCis 

An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The sum of interest obtained after 2 years from both the schemes is Rs 2961. If both schemes have 23% per annum interest rate, then what is the first year interest (in Rs)of simple interest scheme?

An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 21⁄2 hours to fill the tank. The leak can drain all the water off the tank in how many hours?

Two taps P and Q can fill a tank in 24 hours and 18 hours respectively. If the two taps are opened at 11 a.m., then at what time (in p.m.) should the tap P be closed to completely fill the tank at exactly 2 a.m.?

If 2x/3 - [5(4x/5 - 4/3)]/2 = 1/3, then what is the value of x?

In ΔUVW measure of angle V is 90 deg. If cosecU = 13/12, and UV = 2.5cm, then what is the length (in cm) of side VW?

If 35% of (x + y) = 40% of (x – y), then x is what percentage of y?

If sinA + sin2A = 1 then what is the value of cos2A + cos4A ?