SSC CGL 2022 PYQ — Question 56

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q56

The value of 370+142+166+3286+1130+1170\frac{3}{70}+\frac{1}{42}+\frac{1}{66}+\frac{3}{286}+\frac{1}{130}+\frac{1}{170} is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e.  985\frac{9}{85}.

⇒ 370+142+166+3286+1130+1170\frac{3}{70}+\frac{1}{42}+\frac{1}{66}+\frac{3}{286}+\frac{1}{130}+\frac{1}{170}

⇒ 18+10420+13+9858+1130+1170\frac{18+10}{420}+\frac{13+9}{858}+\frac{1}{130}+\frac{1}{170}

⇒ 28420+22858+1130+1170\frac{28}{420}+\frac{22}{858}+\frac{1}{130}+\frac{1}{170}

⇒ 115+139+1130+1170\frac{1}{15}+\frac{1}{39}+\frac{1}{130}+\frac{1}{170}

⇒ 115+10+3390+1170\frac{1}{15}+\frac{10+3}{390}+\frac{1}{170}

⇒ 115+13390+1170\frac{1}{15}+\frac{13}{390}+\frac{1}{170}

⇒ 115+130+1170\frac{1}{15}+\frac{1}{30}+\frac{1}{170}

⇒ 34+17+3510\frac{34+17+3}{510}

⇒ 54510\frac{54}{510}

⇒ 9/85.