Question : If $y$ is an integer, then $(y^{3}-y)$ is always multiple of _____.
Option 1: 5
Option 2: 7
Option 3: 9
Option 4: 6
New: SSC CHSL Tier 2 answer key released | 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: 6
Solution :
$y^{3}-y=y(y^{2}-1)=y(y-1)(y+1)$
This product includes three consecutive integers: $y-1$, $y$, and $y+1$
In any set of three consecutive integers, at least one number is always a multiple of 3 and one is always even.
Hence, the correct answer is 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 “”.
