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SSC Selection Post 2020 PYQ — Question 58

SSC Selection Post - Matriculation Level 2020 - 10 Nov 2020 - Shift 1 • Quantitative Aptitude • Q58

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The value of 252\over5 ÷ 3103\over10 of 494\over9 − 454\over5 × 1191\over9÷ 8158\over15 − 343\over4 +343\over4 ÷ 121\over2 is ?

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Correct answer: D

Explanation

The correct answer is option 4 i.e. −35108 \frac{-35}{108}.

25÷310⋅49−45⋅119÷815−34+34÷12\frac{2}{5} \div \frac{3}{10} \cdot \frac{4}{9} - \frac{4}{5} \cdot 1\frac{1}{9} \div \frac{8}{15} - \frac{3}{4} + \frac{3}{4} \div \frac{1}{2}
⇒ 25⋅103⋅49−45⋅109⋅158−34+34⋅21\frac{2}{5} \cdot \frac{10}{3} \cdot \frac{4}{9} - \frac{4}{5} \cdot \frac{10}{9} \cdot \frac{15}{8} - \frac{3}{4} + \frac{3}{4} \cdot \frac{2}{1}

⇒ 1627−53−34+32\frac{16}{27} - \frac{5}{3} - \frac{3}{4} + \frac{3}{2}

 The LCM of 27, 3, 4 and 2 is  108.

⇒ 64108−180108+81108+162108=(64−180+81+162)108=−35108\frac{64}{108} - \frac{180}{108} + \frac{81}{108}+ \frac{162}{108} = \frac{(64 - 180 + 81 +162)}{108} = \frac{-35}{108}