Mathematics Multiple Choice questions

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

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

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

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?

A. 150 m

B. 125 m

C. 160 m

D. 100 m

E. None of the above

View Answer View Explanation

D. 100 M

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

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

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

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

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?

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 :

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

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

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 :