If a person works all the 30 days of a month, he gets Rs. 42 per day and for taking leave he is fined Rs. 2 per dya. If he got Rs. 952 in the month, then the number of days he did not work was.

D. 7
Posted in:  Time & Work -  Aptitude -  Mathematics

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

The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and from journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is: 

C. 56.25 KM/HR

Find the values of k ε R subject to the following condition :
One root of $x^2 - 6x + k = 0$

D. 8
Posted in:  Quadratic Equations -  Algebra -  Mathematics