I think the way to approach this would be to substitute some sample values of x.
Since x is an integer, i am going to use the following sample values:
-3,-2,-1,0,1,2,3
y=3x+2
x=-3, y = -7
x=-2,y= -4
x=-1, y= -1
x=0, y = 2
x=1, y = 5
x= 2, y = 8
x= 3, y = 11
since Choices are 4,5,6,7,8 : It is obvious that 4,5,7, and 8 are divisors of y, only 6 is not! Hence the answer is 6
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
paper test equation divisiblity question y=3X+2
Source: Beat The GMAT — Problem Solving |
factor or divisor means factor who completly divides the divisible
if we plug value lets say 4
y=3(4)+2
y=14 is not divisible by 4 ie remainder is not equal to 0.
2) y=3(5)+2
y=17 is not divisible by 5 ie remainder is not equal to 0.
similarly for the given values how can one judge about its non divisiblity
since all given values of x are not divisor.
if we plug value lets say 4
y=3(4)+2
y=14 is not divisible by 4 ie remainder is not equal to 0.
2) y=3(5)+2
y=17 is not divisible by 5 ie remainder is not equal to 0.
similarly for the given values how can one judge about its non divisiblity
since all given values of x are not divisor.
I substituted values for x. Then I checked to see if the answer choice were factors of y.
I could easily eliminate all the values except 6.
This method works well from Problem Solving questions, but could lead to problems if this were a Data Sufficiency question.
I could easily eliminate all the values except 6.
This method works well from Problem Solving questions, but could lead to problems if this were a Data Sufficiency question.
For y = 3x + 2 to be divisible by 3 or any multiple of 3, it has to be divisible by 3
here 3x is divisible by 3
but 2 is not divisible by 3
hence 3x + 2 is not divisible by 3
or any multiple of 3 (6,9,....)
here 3x is divisible by 3
but 2 is not divisible by 3
hence 3x + 2 is not divisible by 3
or any multiple of 3 (6,9,....)
