Mathematics Multiple Choice questions

If 3 men or 4 women or 6 boys can finish a work in 135 days workin 8 hours a day. The number of days taken by 12 men, 8 women or 18 boys working 12 hours a day will be.

A. 13.5 days.

B. 12 days.

C. 10 days.

D. 8 days.

E. None of the above

View Answer View Explanation

C. 10 DAYS.

Posted in: Time & Work - Aptitude - Mathematics

Consider the following two sets of equations :
I. 2x - y = 0 and 6x - 3y = 0
II. 3x - 4y = 0 and 12x - 20y = 0

A. both sets I and II possess unique solutions.

B. Set I possesses unique solution and set II has infinitely many solutions.

C. Set II possesses unique solution and set I possesses infinitely many solutions.

D. None of the sets I and II possesses a unique solution.

E. None of the above

View Answer View Explanation

C. SET II POSSESSES UNIQUE SOLUTION AND SET I POSSESSES INFINITELY MANY SOLUTIONS.

Posted in: Linear Equations - Algebra - Mathematics

Find the values of k ε R subject to the following condition :
Two roots of $x^2 +(k - 2)x + (2k + 1) = 0$ are equal.

A. 12

B. - 1

C. 2

D. 0, 12

E. None of the above

View Answer View Explanation

D. 0, 12

Posted in: Quadratic Equations - Algebra - Mathematics

Mohan and Sohan working separately can dig a trench in 10 days and 12 days respectively. If they work for 1 day alternately, Mohan begins it, in how many days Mohan will dug the trench ?

A. 22 days

B. $16{1/2}$ days

C. $11{2/3}$ days

D. $10{5/6}$ days

E. None of the above

View Answer View Explanation

D. $10{5/6}$ DAYS

Posted in: Time & Work - Aptitude - Mathematics

If x³ + 6x²+ 4x + k is exactly divisible by (x + 2), then the value of k is :

A. - 6

B. - 7

C. - 8

D. - 10

E. None of the above

View Answer View Explanation

C. - 8

Posted in: Basic Operations & Factorization - Algebra - Mathematics

If 3 men or 4 women or 6 boys can finish a work in 135 days workin 8 hours a day. The number of days taken by 12 men, 8 women or 18 boys working 12 hours a day will be.

Consider the following two sets of equations :I. 2x - y = 0 and 6x - 3y = 0II. 3x - 4y = 0 and 12x - 20y = 0

Find the values of k ε R subject to the following condition :Two roots of $x^2 +(k - 2)x + (2k + 1) = 0$ are equal.

Mohan and Sohan working separately can dig a trench in 10 days and 12 days respectively. If they work for 1 day alternately, Mohan begins it, in how many days Mohan will dug the trench ?

If x3 + 6x2 + 4x + k is exactly divisible by (x + 2), then the value of k is :

Consider the following two sets of equations :
I. 2x - y = 0 and 6x - 3y = 0
II. 3x - 4y = 0 and 12x - 20y = 0

Find the values of k ε R subject to the following condition :
Two roots of $x^2 +(k - 2)x + (2k + 1) = 0$ are equal.

If x³ + 6x²+ 4x + k is exactly divisible by (x + 2), then the value of k is :