Mathematics Past Questions and Answers

The radius of a circle is given as \(5 \mathrm{~cm}\) subject to an error of \(0.1\) \(\mathrm{cm}\). What is the percentage error in the area of the circle?

What is the value of \(x\) satisfying the equation \(4^{2 x} / 4^{3 x}=2\)

If \(x=3-\sqrt{3}\), find \(x^{2}+\frac{36}{x^{2}}\)

Solve the equation \(y^{2}-11 y+\) \(24=0\)

Five years ago, a father was 3 times as old as his son. Now, their combined ages a mount to 110 years. Thus, the present age of the father is