List of top Quantitative Aptitude Questions on Equations

If \(a^2+b^2=41\) and \(ab=20\), then the value of \(a+b\) is

Solve for x: \(3x - 7 = 2x + 5\).

If \(2x + 3y = 12\) and \(x = 3\), what is the value of y?

If \(\alpha\) and \(\beta\) are the roots of \(x^2 - 5x + 6 = 0\), what is the value of \(\alpha^2 + \beta^2\)?

If \(x + \dfrac{1}{x} = 4\), then what is the value of \(x^2 + \dfrac{1}{x^2}\)?