If $x + y = 7$ and xy = 12,
the value of $(x^2 + y^2)$ is :

A. 25

21 labourers can build a wall in 25 days. If 14 additional labourers are employed, then in how many days the work can be completed ?

D. 15 DAYS
Posted in:  Time & Work -  Aptitude -  Mathematics

If (x - 1/x) = 1/2 , then (4x2 + 4/x2) is equal to :

C. 9

If the roots of the equations $x^2 + 3kx + 2 = 0$ are in the ratio of 1 : 2, then find the value of k.

B. ± 1
Posted in:  Quadratic Equations -  Algebra -  Mathematics

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. A