Home  / Mathematics
Algebra
Arithmetic
Aptitude

If the sum of the roots of the equation $x^2 + 8x + 2 - k = 0$ is twice the product of the roots.
Then find k.

D. 6
Posted in:  Quadratic Equations -  Algebra -  Mathematics

Arvind starts walking  at 2 p.m. with the speed of 5 km/hr from P to Q.
Gopal goes on cycle at 3 p.m. with 10 km/hr from P to Q.
At what time Gopal will cross Arvind ? 

D. 4.00 P.M.
Posted in:  Time, Distance and Speed -  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
Posted in:  Time, Distance and Speed -  Aptitude -  Mathematics

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

Find the values of k ε R subject to the following condition :
The diffrenence between the roots of $x^2 + kx + 4 = 0 is 3.$

B. ± 5
Posted in:  Quadratic Equations -  Algebra -  Mathematics