मात्रात्मक योग्यता प्रश्न 2154
प्रश्न: $ \frac{(243)\times (243)}{(7)\times (49)\times (343)} $ का मान है
विकल्प:
A) $ \frac{3}{7} $
B) $ \frac{7}{3} $
C) $ 1\frac{3}{7} $
D) $ 2\frac{2}{7} $
Show Answer
उत्तर:
सही उत्तर: A
हल:
- $ \frac{{{(243)}^{0.13}}\times {{(243)}^{0.07}}}{{7^{0.25}}\times {{(49)}^{0.075}}\times {{(343)}^{0.2}}}=\frac{{{(243)}^{(0.13+0.07)}}}{{7^{0.25}}\times {{(7^{2})}^{(0.075)}}\times {{(7^{3})}^{0.2}}} $ $ =\frac{{{(243)}^{0.2}}}{{7^{0.25}}\times {{(7)}^{2\times ,}}^{0.075}\times {{(7)}^{3\times ,}}^{0.2}} $ $ =\frac{{{(3^{5})}^{0.2}}}{{7^{0.25}}\times {7^{0.15}}\times {7^{0.60}}} $ $ =\frac{{5^{(5,\times ,0.2)}}}{{7^{(0.25,+,0.15,+,0.6)}}}=\frac{3^{1}}{7^{1}}=\frac{3}{7} $
BETA
