Mathematics Multiple Choice questions

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

B. - 3

C. + 3

D. - 1

E. None of the above

View Answer View Explanation

A. ± 3

Posted in: Quadratic Equations - Algebra - Mathematics

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

A. 5

B. ± 5

C. 0

D. 8

E. None of the above

View Answer View Explanation

B. ± 5

Posted in: Quadratic Equations - Algebra - Mathematics

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.

A. 2

B. 4

C. 8

D. 6

E. None of the above

View Answer View Explanation

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 ?

A. 3.15 p.m.

B. 3.20 p.m.

C. 3.30 p.m.

D. 4.00 p.m.

E. None of the above

View Answer View Explanation

D. 4.00 P.M.

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

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 10

B. 12

C. 9

D. 14

E. None of the above

View Answer View Explanation

A. A

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

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.

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

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.

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 ?

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

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.

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

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.

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 ?