Post Utme Mathematics Past Questions and Answers

Question 261:

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 ____________

A. (3.7)
B. \((3,0)\)
C. \((6,3)\)
D. \((7,5)\)

Question 262:

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

A. \(2 x^{3}-5 x^{2}+7 x-5\)
B. \(2 x^{3}-5 x^{2}+7 x-7\)
C. \(2 x^{3}+5 x^{2}-3 x+7\)
D. \(2 x^{3}-5 x^{2}-7 x+5\)

Question 263:

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

A. \(23_{6}\)
B. \(35_{6}\)
C. \(52_{6}\)
D. \(55_{6}\)

Question 264:

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

A. \(-2,1,0,-1\)
B. \(-1,0,1,2\)
C. \(-1,0,1\)
D. \(0,1,2\)

Question 265:

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

A. \(3 / 8\)
B. \(3 / 4\)
C. \(4 / 3\)
D. \(8 / 3\)