Quantitative Aptitude - Arithmetic Ability Questions

A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?

The total surface area of a cuboid is 376 sq cm. Find its volume if its length and breadth are 10 cm and 8 cm respectively?

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)]?

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?

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?