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A certain number of men do a piece of work in 40 days. If there has been 45 men more, the work could have been finished in 25 days. The original number of men employed at the work were

A. 75
Posted in:  Time & Work -  Aptitude -  Mathematics

X and Y together complete a work in 8 hours. If X alone can complete it in 12 hours than Y alone can complete it in

A. 24 HOURS
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 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