Mathematics Multiple Choice questions

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

A. x = 0, y = 0 as solutions

B. x = 0, y = 0 and x = 1, y = -2 as solutions

C. x = 0, y = 0 ; x = -1, y = 2 and x = 1, y = -2 as solutions

D. an infinite number of solutions.

E. None of the above

View Answer View Explanation

D. AN INFINITE NUMBER OF SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

One of the factors of 3x³ + x² - 12x - 4 is :

A. 3x - 2

B. 3x + 2

C. 3x - 1

D. 3x + 1

E. None of the above

View Answer View Explanation

D. 3X + 1

Posted in: Basic Operations & Factorization - Algebra - Mathematics

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

A. - 1, 2

B. 4, - 1

C. 1, 3

D. - 4, 0

E. None of the above

View Answer View Explanation

B. 4, - 1

Posted in: Quadratic Equations - Algebra - 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 :

A. 2 : 1

B. 3 : 1

C. 3 : 2

D. 4 : 3

E. None of the above

View Answer View Explanation

B. 3 : 1

Posted in: Time, Distance and Speed - Aptitude - Mathematics

If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.
The time (in hours) to cover the distance with his normal speed is :

A. 2

B. 1

C. 3

D. 1.5

E. None of the above

View Answer View Explanation

A. 2

Posted in: Time, Distance and Speed - Aptitude - Mathematics

The set of homogeneous simultaneous equations4x + 2y = 0 and6x + 3y = 0 has :

One of the factors of 3x3 + x2 - 12x - 4 is :

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

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 :

If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.The time (in hours) to cover the distance with his normal speed is :

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

One of the factors of 3x³ + x² - 12x - 4 is :

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 :

If a man reduces his speed to 2/3, he takes 1 hour more in walking a certain distance.
The time (in hours) to cover the distance with his normal speed is :