GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 26 Sep 2018, 06:33

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.

Close

Request Expert Reply

Confirm Cancel

Can n/196 be an integer?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
B
Joined: 03 Jul 2018
Posts: 2
Can n/196 be an integer?  [#permalink]

Show Tags

New post Updated on: 03 Jul 2018, 11:26
2
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

22% (01:42) correct 78% (02:06) wrong based on 35 sessions

HideShow timer Statistics

Can n/196 be an integer?


(1) n is a multiple of 24 but not 16

(2) n is a multiple of 8 but not 48

Originally posted by Newman2019 on 03 Jul 2018, 10:13.
Last edited by Bunuel on 03 Jul 2018, 11:26, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49544
Can n/196 be an integer?  [#permalink]

Show Tags

New post 03 Jul 2018, 10:27
2
Can n/196 be an integer?

Notice that the question asks whether \(\frac{n}{196} = \frac{n}{2^2*7^2}\) CAN be an integer, not whether it IS an integer. n/196 could be an integer if n has 2 in the power of at least 2 and 7 in the power of at least 2.


(1) n is a multiple of 24 but not 16.

Since the question asks whether n/196 CAN be an integer, then we are only interested in the numbers n is NOT divisible by, to check whether this discards this possibility. We are told that n is NOT divisible by 2^4. No problem. We needed 2 in the power of at least 2. So, for example, if n = 24*7^2, then n will be divisible by 196. So, n/196 CAN be an integer. Sufficient.


(2) n is a multiple of 8 but not 48

Again, since the question asks whether n/196 CAN be an integer, then we are only interested in the numbers n is NOT divisible by, to check whether this discards this possibility. We are told that n is NOT divisible by 2^4*3. No problem. We needed 2 in the power of at least 2 and are not concerned about 3 at all. So, for example, if n = 8*7^2, then n will be divisible by 196. So, n/196 CAN be an integer. Sufficient.


Answer: D.


Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
G
Joined: 24 Mar 2017
Posts: 100
Location: India
Schools: ISB '20, IIMA
GMAT 1: 680 Q49 V34
GPA: 3.98
Re: Can n/196 be an integer?  [#permalink]

Show Tags

New post 03 Jul 2018, 23:04
Bunuel if the question asks
Is n/196 an integer?

then the correct choice would be E.

Correct me if I am wrong.
_________________

Sailing through rough waters. Stars & few kudos will steer me past.

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49544
Re: Can n/196 be an integer?  [#permalink]

Show Tags

New post 03 Jul 2018, 23:07
1
GMAT Club Bot
Re: Can n/196 be an integer? &nbs [#permalink] 03 Jul 2018, 23:07
Display posts from previous: Sort by

Can n/196 be an integer?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.