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SSC Selection Post 2022 PYQ — Question 54

SSC Selection Post - Higher Secondary Level - 3 Aug 2022 - Shift 4 • Quantitative Aptitude • Q54

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Simplify the following: 8.79×8.79×8.79−6.79×6.79×6.798.79×8.79+8.79×6.79+6.79×6.798.79×8.79×8.79-6.79×6.79×6.79\over8.79×8.79+8.79×6.79+6.79×6.79 

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 2.

8.79×8.79×8.79−6.79×6.79×6.798.79×8.79+8.79×6.79+6.79×6.798.79×8.79×8.79-6.79×6.79×6.79\over8.79×8.79+8.79×6.79+6.79×6.79

=8.793−6.7938.792+8.79×6.79+6.792={8.79^3-6.79^3\over8.79^2+8.79×6.79+6.79^2}

=(8.79−6.79)(8.792+8.79×6.79+6.792)(8.792+8.79×6.79+6.792)={(8.79-6.79)(8.79^2+8.79×6.79+6.79^2)\over(8.79^2+8.79×6.79+6.79^2)}

= 8.79 - 6.79

= 2