Mathematics Past Questions and Answers

The coordinates of the vertices \(P\) and \(Q\) of a square \(P Q R S\) are \(P=(1,3)\) and \(Q=(5,1)\). The coordinates of \(R\) could be ____________

When a polynomial \(f(x)\) is divided by \(2 x-3\), the quotient is \(x^{2}-x+2\) and the remainder is \(-1\). Find \(f(x)\)

Divide \(2434_{6}\) by \(42_{6}\)

What are the integral values of \(x\) which satisfy the inequality \(-1<3-2 x \leq 5 ?\)

If \(6 \log _{\mathrm{x}} 2-3 \log _{\mathrm{x}} 3=3\) \(\log _{5} 0.2\), find \(x\)