Mathematics Past Questions and Answers

In an examination, all the candidates offered at least one of English and French, if \(52 \%\) offered French and \(65 \%\) offered English, what percentage offered French only?

Simplify \(2 x^{2}+x-8 \sqrt{6 x^{3}+5 x^{2}-8 x-3}\)

Find the range of values of \(x\) satisfying the inequalities \(2 x-5<7\) and \(25+2 x>15\)

If the \(8^{\text {th }}\) term of an AP is three times the second term and the sum of the first three term is 18 , find the first term of the AP

Find the sum to infinity of the series \(4+3+9 / 4+27 / 16+\cdots\).