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 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

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 ?

C. 10

A, B and C contract a work for Rs. 550. Together A and B do 7/11 of the work. The share of C (in rupees) is

C. 200
Posted in:  Time & Work -  Aptitude -  Mathematics

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

A. 1