Quantitative Aptitude - Arithmetic Ability Questions

If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?

If x2 – 4x + 1 = 0, then what is the value of x9 + x7 – 194x5 – 194x3?

The compound interest earned in two years at 15% per annum is Rs 20640. What is the sum invested (in Rs)?

If 31x + 31y = 403, then what is the average of x and y?

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

A man covered a certain distance by a train running at the speed of 50 km/hr and covers the same distance back by walking at the speed of 5 km/hr. Ifthe whole journey took 5 hours 30 minutes, then what was the distance (in km) of one side?

What is the largest 4 digit number which is exactly divisible by 81?

If 2x + 5 > 2 + 3x and 2x -­ 3 ≤ 4x -­ 5, then x can take which of the following values?