Value of k foe which (x - 1) is a factor of (x3 - k) is :

B. 1

If α and β are the roots of the equation
$x^2 - 9x + 8 = 0$ (α > β) then find the value of
$α^2 - β^2$.

C. 65
Posted in:  Quadratic Equations -  Algebra -  Mathematics

Some machines complete the work in 4 days. But if 4 other machines are included in this work, then the job shall be completed in 2 days. If capacities of all machines are same, then in how many days 2 machines can complete this work ?

B. 8 DAYS
Posted in:  Time & Work -  Aptitude -  Mathematics

The solution of the system of simultaneous linear equations
4x - 3y = 7 and 7x + 5y = 2 is :

D. X = 1, Y = -1
Posted in:  Linear Equations -  Algebra -  Mathematics

If x100 + 2x99 + k is divisible by (x + 1), then the value of k is:

A. 1