Question : If $a:b=5:7$, then $\left(6a^2-2b^2\right):\left(b^2-a^2\right)$ will be:
Option 1: 12 : 5
Option 2: 21 : 5
Option 3: 13 : 6
Option 4: 17 : 8
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: 13 : 6
Solution :
$a: b=5: 7$
Assume $a$ as 5 and $b$ as 7.
$(6a^2-2b^2):(b^2-a^2)$
$= (6×5^2-2×7^2):(7^2-5^2)$
$= (6×25-2×49):(49-25)$
$= (150-98):(49-25)$
$= 52:24$
$= 13:6$
Hence, the correct answer is 13 : 6.
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 “”.
