| Direction: What should come in place of the question mark (?) in the following question? |
A) 8
B) 12
C) 4
D) 10
E) 16
Correct Answer: A
Solution :
\[{{(216)}^{\frac{1}{3}}}\times {{(26)}^{4}}\times {{(39)}^{4}}\div \left( {{12}^{4}}\times 3\times \frac{1}{{{2}^{3}}} \right)={{13}^{?}}\] \[\Rightarrow {{({{6}^{3}})}^{\frac{1}{3}}}\times {{(2\times 13)}^{4}}\times {{(3\times 13)}^{4}}\div \] \[\left( \frac{{{2}^{8}}\times {{3}^{4}}\times 3}{{{2}^{3}}} \right)={{13}^{?}}\] \[\Rightarrow \,\frac{6\times {{2}^{4}}\times {{13}^{4}}\times {{3}^{4}}\times {{13}^{4}}}{{{2}^{5}}\times {{3}^{4}}\times 3}={{13}^{?}}\] \[\Rightarrow {{13}^{8}}={{13}^{?}}\Rightarrow ?=8\]
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