Question : What is the value of $\frac{(45 \times 3 \div 27 \times 4)(81 \div 5 \times 85 \div 51)}{(108 \div 18 \times 7\div21)(133 \times 3 \div 38 \times 4)} ?$
Option 1: $\frac{46}{7}$
Option 2: $\frac{45}{7}$
Option 3: $\frac{54}{7}$
Option 4: $\frac{39}{7}$
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $\frac{45}{7}$
Solution : $\frac{(45 \times 3 \div 27 \times 4)(81 \div 5 \times 85 \div 51)}{(108 \div 18 \times 7\div 21)(133 \times 3 \div 38 \times 4)}$ $=\frac{(45 \times \frac{3}{27} \times 4)(\frac{81}{5} \times \frac{85}{51})}{(\frac{108}{18 }\times \frac{7}{21})(133 \times \frac{3}{38} \times 4)}$ $=\frac{(45 \times \frac{1}{9} \times 4)(\frac{81}{5} \times \frac{5}{3})}{(2)(133 \times \frac{3}{19} \times 2)}$ $=\frac{20\times 27}{2\times21 \times 2}$ $=\frac{45}{7}$ Hence, the correct answer is $\frac{45}{7}$.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
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: $\frac{224}{27}$
Question : What is the value of $\frac{\left[\left(\frac{5}{7} \text { of } \frac{1}{12} \times \frac{1}{4}-\frac{1}{2} \times \frac{1}{8}\right)+\frac{5}{4} \times \frac{8}{15}-\frac{2}{3}\right]}{\frac{1}{2} \div \frac{1}{4}+\frac{1}{2}}$ ?
Option 1: $\frac{-5}{108}$
Option 2: $\frac{-4}{103}$
Option 3: $\frac{-4}{105}$
Option 4: $\frac{-2}{105}$
Question : What is the value of $\frac{17-8 \times 5+4 \times 3}{5 \times 3 \div 6+2 \times 4} ?$
Option 1: $\frac{-25}{21}$
Option 2: $\frac{-22}{21}$
Option 3: $\frac{-5}{6}$
Option 4: $\frac{-8}{7}$
Question : What is the value of $\frac{7}{11} \div \frac{21}{33} \times \frac{5}{12}+\frac{10}{36} \times \frac{6}{11} \div \frac{18}{33}$?
Option 1: $\frac{29}{35}$
Option 2: $\frac{25}{36}$
Option 3: $\frac{28}{39}$
Option 4: $\frac{24}{41}$
Question : What is the value of $\frac{28}{21} \times \frac{96}{4} \div \frac{125}{5} \times \frac{42}{192}+\frac{297}{125} \times \frac{875}{3} \div \frac{99}{4} \times \frac{6}{25}?$
Option 1: $11$
Option 2: $\frac{9}{25}$
Option 3: $\frac{7}{25}$
Option 4: $7$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile