← Quantitative Aptitude

Fractions — Questions with Solutions

2 solved Fractions questions from Quantitative Aptitude, as asked in SSC CGL and other SSC exams. Read the answer and explanation below, then practise the full set in the practice section.

Practise this topic

Q1. Arrange the fractions $\frac{7}{11}$, $\frac{5}{9}$, $\frac{4}{7}$ and $\frac{3}{5}$ in ascending order.

भिन्नों $\frac{7}{11}$, $\frac{5}{9}$, $\frac{4}{7}$ और $\frac{3}{5}$ को आरोही क्रम में व्यवस्थित करें।

  1. A. $\frac{3}{5}, \frac{4}{7}, \frac{5}{9}, \frac{7}{11}$
  2. B. $\frac{5}{9}, \frac{4}{7}, \frac{3}{5}, \frac{7}{11}$
  3. C. $\frac{3}{5}, \frac{5}{9}, \frac{4}{7}, \frac{7}{11}$
  4. D. $\frac{4}{7}, \frac{5}{9}, \frac{7}{11}, \frac{3}{5}$

Solution

Decimal values: $\frac{7}{11} \approx 0.636$, $\frac{5}{9} \approx 0.555$, $\frac{4}{7} \approx 0.571$, $\frac{3}{5} = 0.600$. Ascending: $\frac{5}{9} < \frac{4}{7} < \frac{3}{5} < \frac{7}{11}$.

Q2. A container holds $8\frac{1}{2}$ litres of oil. If 1.125 litres are removed three times, how much oil is left?

एक कंटेनर में $8\frac{1}{2}$ लीटर तेल है। यदि 1.125 लीटर तीन बार निकाला जाता है, तो कितना तेल बचता है?

  1. A. $5\frac{1}{8}$
  2. B. $4\frac{3}{4}$
  3. C. $5\frac{1}{4}$
  4. D. 5

Solution

$8.5 - 3 \times 1.125 = 8.5 - 3.375 = 5.125 = 5\frac{1}{8}$.