An integer is - any whole number including negatives, zero, and positives.
What the question is basically asking is - Is n a multiple of 29..including 29...or another solution which may work,,but hey i'm at work and this is all i can think of quickly; however, the solutions below hold.
1 - Not sufficient: there are multiple prime numbers that would work and wouldn't work.
2 - Sufficient: What are the prime factors of 116 are 2, 2, 29. Since 29 is the only odd prime, this is the only possible answer. Plug 29 into the equation and you get 0. Zero is an integer..so it's sufficient.
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 |
-
jeffedwards
- Master | Next Rank: 500 Posts
- Posts: 109
- Thanked: 12 times
- GMAT Score:720
-
jeffedwards
- Master | Next Rank: 500 Posts
- Posts: 109
- Thanked: 12 times
- GMAT Score:720
By multiple, i just meant that i can get an integer or a non-integer by using different primes so the statement is not sufficientjeffedwards wrote:
1 - Not sufficient: there are multiple prime numbers that would work and wouldn't work.
the question is is 29-n/n or 29/n -1 is an integer.Since 29 is a prime number this expression will result in integer if n=1 or 29
From 1.n can be anything like 2,3,5,7...etc--->not sufficient
From 2 ,
116=1x116
=2x58
=4x29
since n is odd factor of 116 ,n is either 1 or 29--->sufficient
From 1.n can be anything like 2,3,5,7...etc--->not sufficient
From 2 ,
116=1x116
=2x58
=4x29
since n is odd factor of 116 ,n is either 1 or 29--->sufficient
"If you don't know where you are going, any road will get you there."
Lewis Carroll
Lewis Carroll
Given: n is integernicajvch wrote:If n is an integer, is (29-n) / n an integer?
(1) n is prime
(2) n is an odd factor of 116
Is (29-n)/n = (29/n) - 1 an integer?
using 1) if n is prime, 29/n is not an interger so, sufficient
using 2) n is odd factor of 116= 29*4. => n is 29 so 29/n is an interger so, sufficient
so, Answer is D
for condition 1 ,n can be 29(this is a prime number)..so 29-n/n can be integer..can not be concluded anything.raviki8208 wrote:Given: n is integernicajvch wrote:If n is an integer, is (29-n) / n an integer?
(1) n is prime
(2) n is an odd factor of 116
Is (29-n)/n = (29/n) - 1 an integer?
using 1) if n is prime, 29/n is not an interger so, sufficient
using 2) n is odd factor of 116= 29*4. => n is 29 so 29/n is an interger so, sufficient
so, Answer is D
"If you don't know where you are going, any road will get you there."
Lewis Carroll
Lewis Carroll
