Quantitative Aptitude - Arithmetic Ability Questions

If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

If cos 135° = x, then the value of x is

If 3.5x = 0.07y, then find the result of [y-x / y+x]

Select the odd word/letters/number/number pair from the given alternatives.

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

The line passing through (­3,4) and (0,3) is perpendicular to the line passing through (5,7) and (4,x). What is the value of x?

A boat cover row 12 km upstream in 4 hours and can cover the same distance downstream in 3 hours. What is the speed (in km/hr) of the boat in still water?

A discount of 45% on an article is equal to the discount of 65% on other article. What is the respective ratio of the marked price of both the articles?