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 x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

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

The two equations are 4x + 4ky-6=0 and x+6y-12=0. Find the value of k for the pair of two linear equations represents the parallel lines.

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .

Two numbers are in the ratio 5:6 when 6 is added to each, the ratio becomes 7:8 then the numbers are

What is the value of (1/√3 + sin45 ) ?