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Find the unit's digit in (264)102 + (264)103.

D. 0
Posted in:  Numbers -  Arithmetic -  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 $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 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

In every hour, a cyclist covered 1 km more distance than he was to cover with his original speed on $1×1/4$ hour.
So he covered 96 km distance early by 2 hours.
The original speed of cyclist (km/hr) is 

A. 12
Posted in:  Time, Distance and Speed -  Aptitude -  Mathematics