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
Number Properties
Source: Beat The GMAT — Data Sufficiency |
-
MAAJ
- Master | Next Rank: 500 Posts
- Posts: 243
- Location: Dominican Republic
- Thanked: 31 times
- GMAT Score:480
Is P divisible by 11?
1. 10 - p = 3q
- p = 3q - 10
p = -3q + 10
we don't know what "q" is so insufficient
2. 3q + 12 is divisible by 11
Doesn't tell us anything about P so insufficient
1. And 2. Combined:
(3q) + 12 is divisible by 11
(10 - p) + 12 is divisible by 11
-p + 22 is divisible by 11
Dividing (-p + 22) by 11 must provide an integer
-p/11 + 22/11 = -p/11 + 2 AND -p/11 must be an integer
So -p and p must be divisible by 11
1. 10 - p = 3q
- p = 3q - 10
p = -3q + 10
we don't know what "q" is so insufficient
2. 3q + 12 is divisible by 11
Doesn't tell us anything about P so insufficient
1. And 2. Combined:
(3q) + 12 is divisible by 11
(10 - p) + 12 is divisible by 11
-p + 22 is divisible by 11
Dividing (-p + 22) by 11 must provide an integer
-p/11 + 22/11 = -p/11 + 2 AND -p/11 must be an integer
So -p and p must be divisible by 11
"There's a difference between interest and commitment. When you're interested in doing something, you do it only when circumstance permit. When you're committed to something, you accept no excuses, only results."
"divisible by" is code words for factoring - so the real question is "does p have 11 as a factor?"
Look at stmt 1:
we can rearange to find that 10-3q = p. No where in the stem does it say that P is an integer so P can be any nubmer and q can be any number so this is insufficient - you have B C E left.
Stmt 2- this statement doesn't contain any information about P so it's can't work - C E are left.
together - we have to combine - if 10-p =3q and 3q + 12 is divisible by 11 - can can find that 10-p+12 is divisible by 11
so 22-p is divisible by 11 - since 22 is divisible by 11 then that means P must also be - BUT you don't even really need to go that far - 11 is prime and you know that 22-p is divisible by 11 and because this is a YES/No Data sufficiency you know you could solve it so C is the answer regardless.
Look at stmt 1:
we can rearange to find that 10-3q = p. No where in the stem does it say that P is an integer so P can be any nubmer and q can be any number so this is insufficient - you have B C E left.
Stmt 2- this statement doesn't contain any information about P so it's can't work - C E are left.
together - we have to combine - if 10-p =3q and 3q + 12 is divisible by 11 - can can find that 10-p+12 is divisible by 11
so 22-p is divisible by 11 - since 22 is divisible by 11 then that means P must also be - BUT you don't even really need to go that far - 11 is prime and you know that 22-p is divisible by 11 and because this is a YES/No Data sufficiency you know you could solve it so C is the answer regardless.
Becky
Master GMAT Instructor
The Princeton Review
Irvine, CA
Master GMAT Instructor
The Princeton Review
Irvine, CA
