Last visit was: 12 Dec 2024, 07:47 It is currently 12 Dec 2024, 07:47
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
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
Back to Forum
Create Topic
User avatar
push12345
User avatar
Joined: 02 Oct 2017
Last visit: 10 Feb 2019
Posts: 548
Own Kudos:
513
 [13]
Given Kudos: 14
Posts: 548
Kudos: 513
 [13]
If a & b are positive integers, , is a/b a terminating decimal number? 07 Nov 2018, 01:18
2
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

56% (01:04) correct 44% (01:19) wrong based on 241 sessions

History

Date
Time
Result
Not Attempted Yet
If a & b are positive integers, , is a/b a terminating decimal number?

i) b is a factor of 50

ii) b/a is an integer
ShowHide Answer
Official Answer
A
User avatar
chetan2u
User avatar
RC & DI Moderator
Joined: 02 Aug 2009
Last visit: 10 Dec 2024
Posts: 11,434
Own Kudos:
37,984
Given Kudos: 333
Status:Math and DI Expert
Products:
My Reviews
Expert reply
Posts: 11,434
Kudos: 37,984
If a & b are positive integers, , is a/b a terminating decimal number? 09 Nov 2018, 11:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If a & b are positive integers, , is a/b a terminating decimal number?

i) b is a factor of 50
So denominator will have 1,2,5,10,25,50 and each of them will result in terminating decimal, as any power of 2 and 5 or multiples of just 2 and 5 leave a terminating decimal
Sufficient

ii) b/a is an integer
If a=2 and b=4... Yes
If a =2 and b=6... No
Insufficient

A
User avatar
ShankSouljaBoi
User avatar
Joined: 21 Jun 2017
Last visit: 17 Apr 2024
Posts: 628
Own Kudos:
561
Given Kudos: 4,092
Location: India
Concentration: Finance, Economics
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 1: 660 Q49 V31
GMAT 2: 620 Q47 V30
GMAT 3: 650 Q48 V31
GPA: 3.1
WE:Corporate Finance (Non-Profit and Government)
Products:
My Reviews
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 3: 650 Q48 V31
Posts: 628
Kudos: 561
If a & b are positive integers, , is a/b a terminating decimal number? 09 Nov 2018, 12:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Had a not been a positive inteer, E would have been correct.
Missed it ! @
avatar
JiddiHuMain
avatar
Joined: 06 May 2019
Last visit: 09 Jan 2020
Posts: 82
Own Kudos:
110
Given Kudos: 7
Location: India
Concentration: Leadership, Finance
Schools: LBS '22
GMAT 1: 710 Q51 V35
GPA: 4
WE:Information Technology (Computer Software)
Schools: LBS '22
GMAT 1: 710 Q51 V35
Posts: 82
Kudos: 110
If a & b are positive integers, , is a/b a terminating decimal number? 28 Nov 2019, 06:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If a and b are positive integers, is a/b a terminating decimal number?

(1) b is a factor of 50.

(2) b/a is an integer.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
User avatar
LevanKhukhunashvili
User avatar
Joined: 13 Feb 2018
Last visit: 23 Jan 2021
Posts: 376
Own Kudos:
406
Given Kudos: 50
GMAT 1: 640 Q48 V28
GMAT 1: 640 Q48 V28
Posts: 376
Kudos: 406
If a & b are positive integers, , is a/b a terminating decimal number? 28 Nov 2019, 08:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
For a/b to be a terminating decimal, in reduced fraction a/b, b must contain twos or fives

1) b is a factor of 50 --> \(5^2*2\) SUfficient
2) b can be other integers than 2 or 5. Not sufficient

IMO
ans: A
User avatar
TestPrepUnlimited
User avatar
Joined: 17 Sep 2014
Last visit: 30 Jun 2022
Posts: 1,239
Own Kudos:
1,015
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Expert reply
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Posts: 1,239
Kudos: 1,015
If a & b are positive integers, , is a/b a terminating decimal number? 29 Nov 2019, 12:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
push12345
If a & b are positive integers, , is a/b a terminating decimal number?

i) b is a factor of 50

ii) b/a is an integer

Analyzing the question:
This only depends on b. If b has prime factors such as 3, 7, 11 etc it is not terminating. In other words, if b has only prime factors of 2 and 5 then a/b is terminating.

Statement 1:
Prime factors of 50 include only 2 and 5. Dividing integers by 2 or 5 do not cause any repeating decimals, so the integers still terminate. Sufficient.

Statement 2:
This tells us the prime factors of \(a\) include only 2 and 5 but since we want to know something on \(b\) this is insufficient.

Ans: A
User avatar
QuantMadeEasy
User avatar
Joined: 28 Feb 2014
Last visit: 11 Dec 2024
Posts: 501
Own Kudos:
660
Given Kudos: 75
Location: India
Concentration: General Management, International Business
GPA: 3.97
WE:Engineering (Education)
Posts: 501
Kudos: 660
If a & b are positive integers, , is a/b a terminating decimal number? 29 Nov 2019, 22:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
push12345
If a & b are positive integers, , is a/b a terminating decimal number?

i) b is a factor of 50

ii) b/a is an integer
To get a terminating decimal, the denominator must be must be contain 2 or 5 or both.
(1) b will be either 2 or 5 or both. Sufficient
(2) value of b is not provided. Insufficient

A is correct.
avatar
utkarsh0892
avatar
Joined: 03 Jan 2020
Last visit: 20 May 2024
Posts: 5
Own Kudos:
1
Given Kudos: 14
Posts: 5
Kudos: 1
If a & b are positive integers, , is a/b a terminating decimal number? 09 Jul 2020, 21:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
If a & b are positive integers, , is a/b a terminating decimal number?

i) b is a factor of 50
So denominator will have 1,2,5,10,25,50 and each of them will result in terminating decimal, as any power of 2 and 5 or multiples of just 2 and 5 leave a terminating decimal
Sufficient

ii) b/a is an integer
If a=2 and b=4... Yes
If a =2 and b=6... No
Insufficient

A

Posted from my mobile device

Hi chetan,

Since there's no condition giver here for a and b, and if we consider a=b here...the answer would be "1",which is terminating but not decimal... isn't it?
..in that case it won't be terminating decimal here.
So isn't E the correct answer?
avatar
utkarsh0892
avatar
Joined: 03 Jan 2020
Last visit: 20 May 2024
Posts: 5
Own Kudos:
1
Given Kudos: 14
Posts: 5
Kudos: 1
If a & b are positive integers, , is a/b a terminating decimal number? 09 Jul 2020, 21:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
[quote="push12345"]If a & b are positive integers, , is a/b a terminating decimal number?

i) b is a factor of 50

ii) b/a is an integer[/quote]

IMO :E

Since it is not mentioned here that a can't be b. So this possibility renders us with fact that a/b is terminating but non decimal.

Hence E is correct answer choice.

[size=80][b][i]Posted from my mobile device[/i][/b][/size]
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,799
Own Kudos:
929
Posts: 35,799
Kudos: 929
If a & b are positive integers, , is a/b a terminating decimal number? 16 Aug 2022, 10:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Bunuel
Math Expert
97845 posts