Quantitative Aptitude - Arithmetic Ability Questions

The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is

Which of the following will yield a recurring decimal?

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

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

The distance between the points (11,­5) and (k,0) is 13. Find k.

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

ax + 5y = 8 has slope of -4/3. What is the value of a?

D and E are the points on the sides AB and AC respectively of a ΔABC and AD = 8 cm, DB = 12 cm, AE= 6 cm and EC = 9 cm, then BC is equal to: