If the ratio of the roots of the equation $x^2 + 6x + k - 5 = 0$ is 3:5, then find the value of k.

C. $55/16$
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If A can do a piece of work in 15 days and B can do it in 10 days, how long will it take for both A and B to complete the work together?

B. 7.5 DAYS
Posted in:  Time & Work -  Aptitude -  Mathematics

A quadratic equation has roots 3 and 4. What is the quadratic equation in standard form?

A. X² - 7X + 12 = 0
Posted in:  Quadratic Equations -  Algebra -  Mathematics

 A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for the both the trips? 

B. 48 KMPH

If the roots of the quadratic equation 2x² + 3x + k = 0 are real and equal, what is the value of k?

A. -4.5
Posted in:  Quadratic Equations -  Algebra -  Mathematics