Telangana TET Paper 1 Exam Model Paper 3

Concept:Convert each mixed fraction into a sum of a whole number and a fraction. Then combine the whole numbers and the fractional parts separately to solve for the unknown.Explanation:Write the given equation: $1\frac{3}{4}+5\frac{1}{3}+3\frac{2}{x}=10\frac{29}{60}$.Rewrite each term: $(1+\frac{3}{4})+(5+\frac{1}{3})+(3+\frac{2}{x}) = 10+\frac{29}{60}$.Sum the whole numbers: $1+5+3=9$. So $9 + (\frac{3}{4}+\frac{1}{3}+\frac{2}{x}) = 10 + \frac{29}{60}$.Add $\frac{3}{4}$ and $\frac{1}{3}$: $\frac{9}{12}+\frac{4}{12}=\frac{13}{12}=1+\frac{1}{12}$.Then $9+1+\frac{1}{12}+\frac{2}{x}=10+\frac{29}{60}$ becomes $10+\frac{1}{12}+\frac{2}{x}=10+\frac{29}{60}$.Cancel $10$ from both sides: $\frac{1}{12}+\frac{2}{x} = \frac{29}{60}$.Subtract $\frac{1}{12}$ (i.e., $\frac{5}{60}$) from both sides: $\frac{2}{x} = \frac{29}{60} - \frac{5}{60} = \frac{24}{60} = \frac{2}{5}$.Thus $\frac{2}{x}=\frac{2}{5}$, so $x=5$.Answer:$x = 5$, which is option B.