Quantitative Aptitude - Arithmetic Ability Questions

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?

If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?

Pipe A can empty a filled tank in 28 hours while Pipe B can fill the same tank, when empty in 35 hrs. If alternatively Pipes A and B are turned on for an hour each time, starting when the tank is full, how long will it take to empty the tank?

A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis?

Reflection of the point (4,­6) in the origin is

Simplify (533bxaz)/(41ab)