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If $x^2 - 6x + α = 0 has two roots α, β and 3α + 2β = 20, then find a.

A. - 16
Posted in:  Quadratic Equations -  Algebra -  Mathematics

If 2x - 2x-1 = 16, then the value of x2 is :

D. 25
Posted in:  Basic Operations & Factorization -  Algebra -  Mathematics

If 40 men can build a wall 300 m long in 12 days working 6 hours a day, how long will it take 30 men to build a similar wall 200 m long working 8 hours a day ?

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

If the roots of the equation $x^2 - 10x + k - 1 = 0$ are α and β and $α^3 + β^3 = 70$,
then find the value of k.

A. 32
Posted in:  Quadratic Equations -  Algebra -  Mathematics

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