Last visit was: 08 Sep 2024, 03:56 It is currently 08 Sep 2024, 03:56
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 95353
Own Kudos [?]: 656650 [1]
Given Kudos: 87193
Send PM
CAT Tests Forum Quiz Mode
Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135 [#permalink] Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135   05 Apr 2023, 01:30
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

78% (00:58) correct 22% (00:56) wrong based on 119 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
Is integer N odd?

(1) N is a factor of 100.

(2) N is a factor of 135.


ShowHide Answer
Official Answer
B
User avatar
B
nicbo
Intern
Intern
Joined: 01 Nov 2022
Posts: 16
Own Kudos [?]: 4 [1]
Given Kudos: 33
GPA: 3.16
Send PM
Re: Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135 [#permalink] Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135   05 Apr 2023, 01:49
1
Kudos
Imo B is the correct answer.

Factors of 135 = 5 and 27 --> both odd.

Factors of 100 = odd and even.

So we know for sure that n is odd if it is a factor of 27.

Am i right? I always struggle with these questions. KarishmaB Bunuel gmatophobia
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 15292
Own Kudos [?]: 67908 [3]
Given Kudos: 441
Location: Pune, India
Send PM
Re: Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135 [#permalink] Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135   05 Apr 2023, 03:39
3
Kudos
Expert Reply
nicbo wrote:
Imo B is the correct answer.

Factors of 135 = 5 and 27 --> both odd.

Factors of 100 = odd and even.

So we know for sure that n is odd if it is a factor of 27.

Am i right? I always struggle with these questions. KarishmaB Bunuel gmatophobia


Yes, if we know that N is a factor of 135, we know for sure that it is odd because all factors of 135 are odd.
\(135 = 3^3 * 5\)
There is no 2 in there. Hence it has no even factors.

Number properties is an important topic for GMAT. So invest enough time if you struggle with it.
User avatar
B
aashishchaubey
Intern
Intern
Joined: 01 Jan 2023
Posts: 4
Own Kudos [?]: 0 [0]
Given Kudos: 213
Send PM
Re: Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135 [#permalink] Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135   08 Apr 2023, 01:58
Bunuel wrote:
Is integer N odd?

(1) N is a factor of 100.

(2) N is a factor of 135.


This is a Data Sufficiency Butler Question



Understand what do we mean by factors of something:
Factors of 28: 2*2*7 ===> 2 and 7 are distinct factors of 28

In option B, it is states N is a factor of 135, it means N definitely will be either 3 or 5 which is an odd number.

While in option A, factors of 100 are 2 and 5, in this case you cannot say which one would N be.

Hope it’s clear now!
GMAT Club Bot
gmatclubot
Re: Is integer N odd? (1) N is a factor of 100. (2) N is a factor of 135 [#permalink]
08 Apr 2023, 01:58
Moderator:
Bunuel
Math Expert
95353 posts