Home  / Mathematics
Algebra
Arithmetic
Aptitude

Find the values of k ε R subject to the following condition :
The ratio of the rots of $x^2 + 3kx + 20 = 0$ is 4 : 5.

A. ± 3
Posted in:  Quadratic Equations -  Algebra -  Mathematics

The set of homogeneous simultaneous equations
4x + 2y = 0 and
6x + 3y = 0 has :

D. AN INFINITE NUMBER OF SOLUTIONS.
Posted in:  Linear Equations -  Algebra -  Mathematics

If the difference of the roots of the equation $x^2 - 2kx + 3k = 0$ is 4, then find the value of k.

B. 4, - 1
Posted in:  Quadratic Equations -  Algebra -  Mathematics

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

D. 100 M
Posted in:  Time, Distance and Speed -  Aptitude -  Mathematics

Two motor cyclists meet after 2 hours if they drive from 100 km apart in the same direction, but they meet in 1 hour if they drive in the opposite direction.
The ratio between the speed of faster motor cyclist and the other one is :

B. 3 : 1
Posted in:  Time, Distance and Speed -  Aptitude -  Mathematics