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?

20% of a = b, then b% of 20 is the same as _________ of a.

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

The value of Cot17°Cot73°Cos222° + 1Cot17°Sec268° is

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

The average marks of 45 students is shown as 65. It includes a wrong entry of 84 marks instead of 48 marks. The correct average is: