Business Mathematics and Logical Reasoning Mock Test

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Questions and Answers

The arithmetic mean between roots of a quadratic equation is 8 and the geometric mean between them is 5. The equation is?

  • $x^2 +16x + 25 = 0$
  • $x^2 – 16x - 25 = 0$ (correct)
  • $x^2 – 16x + 25 = 0$
  • None of these

Solution space of the inequalities $2x + y < 10$ and $x-y < 5$:

  • Only (i) includes the origin
  • Only (ii) includes the point (4,3)
  • Both (i) and (ii) (correct)
  • None of the above

If $A = \begin{pmatrix} 1 & -1 \ 1 & 1 \end{pmatrix}$, then $A.A$ is:

  • Identity matrix (correct)
  • $A^2$
  • Null matrix
  • None of these

Find the Inverse of matrix $\begin{pmatrix} a & -b \ -c & d \end{pmatrix}$:

<p>$\begin{pmatrix} a &amp; -b \ -c &amp; d \end{pmatrix}$, $\frac{1}{ad-bc}$ (A)</p> Signup and view all the answers

Two equal sums were lent out. If one sum was lent at 6% per annum and the other at 7% per annum, both simple interests being equal, then each sum was:

<p>$\frac{6}{5}$ of the other sum (A)</p> Signup and view all the answers

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