Question : If $p : q = 7 : 5$, then what is the value of $\frac{\left(p^2+q^2\right)}{\left(p^2-q^2\right)} ?$
Option 1: $\frac{48}{7}$
Option 2: $\frac{36}{11}$
Option 3: $\frac{37}{12}$
Option 4: $\frac{38}{5}$
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: $\frac{37}{12}$
Solution : Given: $p : q = 7 : 5$ Let $p = 7k$ and $q = 5k$ $\frac{\left(p^2+q^2\right)}{\left(p^2-q^2\right)}$ $=\frac{(7k)^2+(5k)^2}{(7k)^2-(5k)^2}$ $=\frac{74k^2}{24k^2}$ $=\frac{37}{12}$ Hence, the correct answer is $\frac{37}{12}$.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : What is the value of $\frac{5}{12} \times \frac{7}{12} \div\left(\frac{1}{75}+\frac{5}{12}\right.$ of $\left.\frac{36}{25}\right)+\frac{4}{5} \times \frac{75}{16} ?$
Question : The value of $\frac{1}{8} × \left[\frac{1}{5}\right.$ of $\left.\frac{11}{2} ÷\left\{\left(\frac{15}{3}-\frac{18}{6}\right)\right\}\right]$ is:
Question : The value of $\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$ is:
Question : If $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$ and $B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$, then what is the value of $A + B$?
Question : What is the value of $\left(\frac{21}{46} \div \frac{1}{6}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times \frac{7}{9} \div \frac{5}{36}\right)$ ?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile