Question : The sum of three fractions A, B and C, A > B > C, is $\frac{121}{60}$. When C is divided by B, the resulting fraction is $\frac{9}{10}$, which exceeds A by $\frac{3}{20}$. What is the difference between B and C?
Option 1: $\frac{1}{15}$
Option 2: $\frac{1}{10}$
Option 3: $\frac{3}{10}$
Option 4: $\frac{7}{15}$
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: $\frac{1}{15}$
Solution : Given: $A + B + C = \frac{121}{60}$ $\frac{C}{B} = \frac{9}{10}$ According to the question, $\frac{9}{10} = A + \frac{3}{20}$ ⇒ $A = \frac{9}{10} - \frac{3}{20} = \frac{18-3}{20} = \frac{15}{20} = \frac{3}{4}$ $B + C = \frac{121}{60} - \frac{3}{4} = \frac{121-45}{60} = \frac{76}{60} = \frac{19}{15}$ Since, C : B = 9 : 10 $C = \frac{19}{15} × \frac{9}{19} = \frac{9}{15} = \frac{3}{5}$ $B = \frac{19}{15}×\frac{10}{19}= \frac{10}{15} = \frac{2}{3}$ Required Difference $=\frac{2}{3} - \frac{3}{5} = \frac{10-9}{15} = \frac{1}{15}$ Hence, the correct answer is $\frac{1}{15}$.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : The sum of three fractions is $2\frac{11}{24}$. On dividing the largest faction by the smallest fraction, $\frac{7}{6}$ is obtained which is $\frac{1}{3}$ greater than the middle fraction. The smallest fraction is:
Question : Three fractions $x, y$ and $z$ are such that $x > y > z$. When the smallest of them is divided by the greatest, the result is $\frac{9}{16}$, which exceeds $y$ by 0.0625. If $x+y+z=2 \frac{3}{12}$, then what is the value of $x + z$?
Question : A fraction is greater than twice its reciprocal by $\frac{7}{15}$. What is the fraction?
Question : If A : B = $\frac{1}{2}:\frac{1}{3}$, B : C = $\frac{1}{5}:\frac{1}{3}$ ,then (A + B) : (B + C) is equal to:
Question : Find the fraction which bears the same ratio to $\frac{1}{27}$ that $\frac{3}{7}$ does to $\frac{5}{9}$.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile