NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 21:55 It is currently 24 Apr 2024, 21:55
Decision Tracker
My Rewards
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

When a is divided by b the remainder is 13.When c is divided by d the

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3127 [15]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   28 Oct 2016, 22:50
2
Kudos
13
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

73% (01:42) correct 27% (02:21) wrong based on 168 sessions
Hide Show timer Statistics
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b*d?

1)100
2)121
3)144
4)169
5)196
ShowHide Answer
Official Answer
E
User avatar
B
acegmat123
Manager
Manager
Joined: 28 Jun 2016
Posts: 153
Own Kudos [?]: 190 [2]
Given Kudos: 99
Location: Canada
Concentration: Operations, Entrepreneurship
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   28 Oct 2016, 22:57
2
Bookmarks
stonecold wrote:
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b*d?

1)9
2)25
3)49
4)169
5)625


b has to be greater than or equal to 14

d has to be greater than or equal to 13

b*d>=14*13

Only answer choice that satisfies above inequality is 625

E


Sent from my iPhone using GMAT Club Forum mobile app
avatar
B
juliang84
Intern
Intern
Joined: 09 May 2016
Posts: 6
Own Kudos [?]: [0]
Given Kudos: 22
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   10 Jun 2018, 12:26
B has to be greater than or equal to 14
D has to be greater than or equal to 13

Answer E 196 = 14*14
User avatar
P
nigina93
Manager
Manager
Joined: 31 Jul 2017
Posts: 168
Own Kudos [?]: 331 [0]
Given Kudos: 347
Location: Tajikistan
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   11 Jun 2018, 06:02
Its E and here is the logic. we know that if we get remainder 13, b must be at least 14 or greater. Likewise, d must be larger than 12, e.g. 13 or more. So, b*d>13*14 or bd>182, the only answer choice greater than 182 is 196 (E)
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6272 [0]
Given Kudos: 1646
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   13 Jun 2018, 16:27
Expert Reply
stonecold wrote:
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b*d?

1)100
2)121
3)144
4)169
5)196


Recall that the remainder from any division of positive integers must be less than the divisor.

Since, when a is divided by b, the remainder is 13, then b must be at least 14.

Since, when c is divided by d, the remainder is 12, then d must be at least 13.

Thus, b*d is least 14*13 = 182. We see that only 196 could be the value of b*d.

Answer: E/5
avatar
B
kurien01
Intern
Intern
Joined: 26 Jul 2018
Posts: 6
Own Kudos [?]: 12 [0]
Given Kudos: 14
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   14 Sep 2018, 02:03
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b*d?

In this case, we know nothing about the value of a and c as no data is given. Such questions cannot be solved by hit and trial.
only data of b available is b>13. Thus minimum value of b is 14
only data of d available is d> 12. Thus minimum value of b is 13
b*d= 14*13
check the options, it can only be E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32657
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   07 Jul 2023, 05:12
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.
GMAT Club Bot
gmatclubot
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink]
07 Jul 2023, 05:12
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions