Quantitative Aptitude - Arithmetic Ability Questions

Find the roots of the quadratic equation 27x2 + 57x -­ 14 = 0

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

The diagonal of a square is 12 cm what is the length (in cm) of its side?

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

If x = (√5) + 1 and y = (√5) – 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?

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

Find length of the arc whose central angle is 45° and radius of the circle is 28 cm?

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?