Quantitative Aptitude - Arithmetic Ability Questions

If x = a + 1a, y = a - 1a ,(a>0), then the value of x4+y4-2x2y2 is

If x = 11, the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

Which of the following value of 'x' satisfies the equation 814x+4 = 2432x+8?

After excluding stoppages, the speed of a bus is 60 kmph and after including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?

The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?

A train crosses a 550 m long platform in 36 seconds. How long was the train if it was travelling at the speed of 70 kmph?