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SSC GD 2023 PYQ — Question 43

SSC GD Constable (English) - 17 Jan 2023 - Shift 4 • Quantitative Aptitude • Q43

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What is the correct descending order of the fraction 78\frac{7}{8},1316\frac{13}{16},3140\frac{31}{40},6380\frac{63}{80} ?

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Correct answer: B

Explanation

The correct answer is option 2 i.e.  78\frac{7}{8}>1316\frac{13}{16}>6380\frac{63}{80}>3140\frac{31}{40}

First of all, we take LCM (8, 16, 40, 80) = 80

Now, fractions convert into natural numbers

⇒ (7/8) × 80 = 70

⇒ (13/16) × 80 = 65

⇒ (63/80) × 80 = 63

⇒ (31/40) × 80 = 62

Now we arrange the fractions corresponding to the above natural numbers in descending order

 78\frac{7}{8}>1316\frac{13}{16}>6380\frac{63}{80}>3140\frac{31}{40}