RRB Group D 27 Nov 2025 Shift 1 Solved Paper

Concept:Simplify the complex fraction by applying the order of operations (BODMAS) and converting mixed numbers to improper fractions.Explanation:Convert mixed fractions to improper fractions: $3\frac{1}{4} = \frac{13}{4}$, $1\frac{1}{4} = \frac{5}{4}$, $2\frac{1}{2} = \frac{5}{2}$, and $0.5 = \frac{1}{2}$.The denominator simplifies as $5 \times \frac{1}{15} = \frac{5}{15} = \frac{1}{3}$.Simplify the numerator step by step.Start with the innermost bracket: $2\frac{1}{2} - \frac{1}{12} = \frac{5}{2} - \frac{1}{12} = \frac{30}{12} - \frac{1}{12} = \frac{29}{12}$.Multiply by $0.5$: $\frac{1}{2} \times \frac{29}{12} = \frac{29}{24}$.Simplify the next bracket: $\frac{5}{4} - \frac{29}{24} = \frac{30}{24} - \frac{29}{24} = \frac{1}{24}$.Perform the division: $\frac{13}{4} \div \frac{1}{24} = \frac{13}{4} \times \frac{24}{1} = 13 \times 6 = 78$.So the numerator becomes $78$.The entire expression is $\frac{78}{\frac{1}{3}} = 78 \times 3 = 234$.Thus the simplified result is $234$.Answer:$234$ (Option C).