Question : The simplified value of the following is: $\left (\frac{3}{15}a^{5}b^{6}c^{3}\times \frac{5}{9}ab^{5}c^{4} \right )\div \frac{10}{27}a^{2}bc^{3}$.
Option 1: $\frac{9a^{2}bc^{4}}{10}$
Option 2: $\frac{3ab^{4}c^{3}}{10}$
Option 3: $\frac{3a^{4}b^{10}c^{4}}{10}$
Option 4: $\frac{1a^{4}b^{4}c^{10}}{10}$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $\frac{3a^{4}b^{10}c^{4}}{10}$
Solution : Given equation: $( \frac{3}{15}a^{5}b^{6}c^{3}\times \frac{5}{9}ab^{5}c^{4})\div \frac{10}{27}a^{2}bc^{3}$ = $( \frac{a^6b^{11}c^7}{9}) \div ( \frac{10}{27}a^2bc^3)$ = $\frac{27a^6b^{11}c^7}{9\times10 a^2bc^3}$ = $\frac{27a^6b^{11}c^7}{90a^2bc^3}$ = $\frac{3a^4b^{10}c^4}{10}$ Hence, the correct answer is $\frac{3a^4b^{10}c^4}{10}$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The value of $\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$ is:
Question : What is the value of $\frac{15 \div 5 \times 3-12 \times 12 \div 6+15 \div 5 \times 6}{18 \div 3 \times 5-12 \div 6 \times 5+18 \div 9 \times 5} ?$
Question : The value of $2 \frac{3}{5} \div\left[2 \frac{1}{3} \div\left\{4 \frac{1}{3}-\left(2 \frac{1}{2}+\frac{2}{3}\right)\right\}\right]$ is equal to:
Question : What is the value of $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$?
Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile