Question : The ratio of three numbers is 3 : 6 : 8. If their product is 9216, then what is the sum of the three numbers?
Option 1: 96
Option 2: 72
Option 3: 144
Option 4: 68
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
Correct Answer: 68
Solution :
Given: The ratio of three numbers is 3 : 6 : 8.
Their product is 9216.
Let the numbers be $3k, 6k$, and $8k$.
Product of $3k × 6k × 8k = 9216$
⇒ $144k^{3}=9216$
⇒ $k^{3}=\frac{9216}{144}$
⇒ $k=\sqrt[3]{64}$
⇒ $k=4$
The sum of the numbers $=3k+ 6k+8k=17k= 17 × 4 = 68$
Hence, the correct answer is 68.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
