CTET Paper II (Mathematics and Science) Sep 2014 Solved Paper

Concept:To check if a number lies between two given fractions, convert all fractions to a common denominator or compare their decimal values.Explanation:First, find a common denominator for $\frac{-5}{6}$ and $\frac{7}{8}$. The LCM of 6 and 8 is 24.So, $\frac{-5}{6} = \frac{-20}{24}$ and $\frac{7}{8} = \frac{21}{24}$.The given range in twenty-fourths is $(\frac{-20}{24}, \frac{21}{24})$.Now, convert each option to denominator 24:A. $\frac{-11}{12} = \frac{-22}{24}$ — this is less than $\frac{-20}{24}$, so it lies outside the range.B. $\frac{5}{6} = \frac{20}{24}$ — this lies between $\frac{-20}{24}$ and $\frac{21}{24}$.C. $\frac{-17}{24}$ — this is greater than $\frac{-20}{24}$, so it lies inside.D. $\frac{-3}{4} = \frac{-18}{24}$ — also greater than $\frac{-20}{24}$, so inside.Only option A ($\frac{-11}{12}$) is outside the given range.Answer:A. $\frac{-11}{12}$