Quantitative Aptitude - Arithmetic Ability Questions

Reflection of the point (2,-4) in the origin is

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

In the given figure, ∠QRN = 40°, ∠PQR = 46° and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?

A can do 1/3rd of a job in 3 days and B can do half of the job in 9 days. If they work on it together, then in how many days can they finish half of the job?

If P/Q = R/S = T/U = 3/4 is (4P + 5R + 7T) : (3Q + 4S + 7U)?

A Number is increased by 20%. To get back to the orignal number, the increased number is to be reduced by

What is the value of x3-1x3+8 when 8x-8x-16=0 ?

A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over ­taken?