Quantitative Aptitude Ques 1317

Question: The value of (?) in expression $ {7^{8.9}}+{{(343)}^{1.7}}\times {{(49)}^{4.8}}={7^{?}} $ is

Options:

A) 13.4

B) 12.8

C) 11.4

D) 9.6

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ {7^{?}}={7^{8.9}}\div {{(343)}^{1.7}}\times {{(49)}^{4.8}} $

$ \Rightarrow $ $ {7^{?}}=\frac{{7^{8.9}}\times {{(7^{2})}^{4.8}}}{{{(7^{3})}^{1.7}}} $
$ \Rightarrow $ $ {7^{?}}=\frac{{7^{8.9,+9.6}}}{{7^{5.1}}} $

$ \Rightarrow $ $ {7^{?}}=\frac{{7^{18.5}}}{{7^{5.1}}} $

$ \Rightarrow $ $ {7^{?}}={7^{18.5-5.1}}={7^{13.4}} $

$ \Rightarrow $ $ ?=13.4 $

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