Question : What is the value of $\left(\frac{21}{46} \div \frac{1}{6}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times \frac{7}{9} \div \frac{5}{36}\right)$ ?
Option 1: $\frac{-163}{28}$
Option 2: $\frac{-179}{30}$
Option 3: $\frac{11}{2}$
Option 4: $\frac{5}{2}$
Correct Answer: $\frac{-179}{30}$
Solution :
According to the question
⇒ $\left(\frac{21}{46} \div \frac{1}{6}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times \frac{7}{9} \div \frac{5}{36}\right)$
= $\left(\frac{126}{46}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times (\frac{7}{9}\times \frac{36}{5})\right)$
= $\left(\frac{63}{23}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times \frac{28}{5}\right)$
= $\left(\frac{3}{2}\right)$$+\frac{4}{3} - \left(\frac{44}{5} \right)$
= $\left(\frac{17}{6}\right)$$ - \left(\frac{44}{5} \right)$
= $\frac{85-264}{30}$
= $\frac{-179}{30}$
Hence, the correct answer is $\frac{-179}{30}$.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC MTS
