Find the values of k ε R subject to the following condition :
The sum of the roots of $3x^2 + kx - 2 = 0$ is 6.

B. - 18
Posted in:  Quadratic Equations -  Algebra -  Mathematics

A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways, is:

A. 7 HOURS 45 MINUTES

A and B start at the same time with speeds of 40 km/hour and 50 km/hour respectively.
If in covering the journey, A taken 15 minutes longer than B, the distance of the journey is :

C. 50 KM

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