GMAC Solutions for Chapter: Logical Reasoning, Exercise 3: Practice Questions

Directions for Question : A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of matrix II are numbered from $5$to $9$. A letter from these matrices can be represented first by its row and next by its column, e.g., ‘N’ can be represented by $10, 40$ etc. and ‘S’ can be represented by $14, 44$ etc. Similarly, you have to identify the set for the word NOISE.

$\begin{array}{|cccccc|}\hline \text{ Matrix I }& & & & & \\ & 0& 1& 2& 3& 4\\ 0& \mathrm{R}& \mathrm{E}& \mathrm{O}& \mathrm{N}& \mathrm{G}\\ 1& \mathrm{N}& \mathrm{P}& \mathrm{V}& \mathrm{E}& \mathrm{S}\\ 2& \mathrm{M}& \mathrm{T}& \mathrm{I}& \mathrm{O}& \mathrm{N}\\ 3& \mathrm{E}& \mathrm{A}& \mathrm{I}& \mathrm{C}& 0\\ 4& \mathrm{N}& \mathrm{T}& \mathrm{A}& \mathrm{R}& \mathrm{S}\\ \hline\end{array}$    $\begin{array}{|cccccc|}\hline \text{ Matrix II }& & & & & \\ & 5& 6& 7& 8& 9\\ 5& \mathrm{G}& \mathrm{V}& \mathrm{E}& \mathrm{A}& \mathrm{C}\\ 6& \mathrm{R}& \mathrm{O}& \mathrm{N}& \mathrm{S}& \mathrm{S}\\ 7& \mathrm{M}& \mathrm{N}& \mathrm{E}& \mathrm{S}& \mathrm{I}\\ 8& \mathrm{O}& \mathrm{T}& \mathrm{I}& \mathrm{T}& \mathrm{A}\\ 9& \mathrm{N}& \mathrm{S}& \mathrm{N}& \mathrm{E}& \mathrm{P}\\ \hline\end{array}$

Find out the two signs to be interchanged in order to make the following equation correct:

$8+7\times \frac{6}{16}-8=48$

If $\times$ stands for ‘addition’, $÷$stands for ‘subtraction’,$+$ stands for ‘multiplication’ and ‘$–$’ stands for ‘division’, then $40 \times 16 ÷ 16 – 8 + 10 =$?

Manage the mathematical symbol to solve this puzzle:

$16 * 8 * 2 * 3 * 4 = 8$

If ‘$+$’ means ‘$÷$’, ‘$\times$’ means ‘$+$’, ‘–’ means ‘$\times$’ and ‘$÷$’ means ‘$-$’ then, which of the following will be the correct equation?

If $+$ means$\times$, $÷$ means$–$, $\times$ means$÷$ and $–$ means $+$, what will be the value of $16 + 5 ÷ 9 \times 3 – 20 =$ ?

By using your numerical and logical reasoning skills please try to figure out which number is missing in the questions below. The numbers around will give you the clues you need to solve the puzzle.

$6, 12, 48, 264, 1560, ?$