3 Views

Question : What is the value of $\frac{\left(\frac{28}{9} \times \frac{42}{35}\right) \div\left(\frac{3}{25} \times \frac{5}{7} \div \frac{1}{21}\right)}{\left(\frac{14}{15} \div \frac{2}{75} \text { of } \frac{7}{5}\right) \times \frac{1}{75} \div \frac{4}{3}} ?$

Option 1: $\frac{222}{27}$

Option 2: $\frac{212}{27}$

Option 3: $\frac{244}{27}$

Option 4: $\frac{224}{27}$


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: $\frac{224}{27}$


Solution : $\frac{(\frac{28}{9} \times \frac{42}{35}) \div(\frac{3}{25} \times \frac{5}{7} \div \frac{1}{21})}{(\frac{14}{15} \div \frac{2}{75} \text { of }\frac{7}{5}) \times \frac{1}{75} \div \frac{4}{3}}$
= $\frac{(\frac{4}{3}×\frac{14}{5})÷(\frac{3}{25}×\frac{5}{7}×21)}{(\frac{14}{15}÷\frac{14}{375})×\frac{1}{75}×\frac{3}{4}}$
= $\frac{(\frac{4}{3}×\frac{14}{5})÷(\frac{3}{5}×3)}{(\frac{14}{15}×\frac{375}{14})×\frac{1}{75}×\frac{3}{4}}$
= $\frac{\frac{4}{3}×\frac{14}{5}×\frac{5}{9}}{25×\frac{1}{75}×\frac{3}{4}}$
= $\frac{56}{27}×4$
= $\frac{224}{27}$
Hence, the correct answer is $\frac{224}{27}$.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books