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

It is currently 18 Jun 2018, 10:16

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Integer d is the product of the integers a, b, and c and 1 < a < b < c

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46129
Integer d is the product of the integers a, b, and c and 1 < a < b < c [#permalink]

Show Tags

New post 13 Sep 2017, 03:42
1
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

73% (02:06) correct 28% (02:18) wrong based on 80 sessions

HideShow timer Statistics

Integer d is the product of the integers a, b, and c and 1 < a < b < c. If the remainder when 233 is divided by d is 79, what is the value of a+c?

A. 7
B. 9
C. 13
D. 14
E. 18

_________________

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

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5886
Re: Integer d is the product of the integers a, b, and c and 1 < a < b < c [#permalink]

Show Tags

New post 13 Sep 2017, 03:52
1
Bunuel wrote:
Integer d is the product of the integers a, b, and c and 1 < a < b < c. If the remainder when 233 is divided by d is 79, what is the value of a+c?

A. 7
B. 9
C. 13
D. 14
E. 18


d=a*b*c.....
If 233 lives a Remainder 79 when div by d, 233-79 or 154 should be div by d...

154=1*2*7*11..
Now 1<a<b<c and a*b*c=2*7*11, a+c=2+11=13
C
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

Senior Manager
Senior Manager
User avatar
P
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
GMAT ToolKit User
Re: Integer d is the product of the integers a, b, and c and 1 < a < b < c [#permalink]

Show Tags

New post 13 Sep 2017, 03:59
given d= a*b*c
1<a<b<c
find: a+c

by equation 233 = d*x +79
d*x = 233-79 = 154.
if x=1 => d= 154

so a*b*c = 154 = 2*7*11
=> a=2 and c=11 => a+c = 2+11 =13

Answer: C
Intern
Intern
avatar
B
Joined: 19 Sep 2016
Posts: 35
Re: Integer d is the product of the integers a, b, and c and 1 < a < b < c [#permalink]

Show Tags

New post 13 Sep 2017, 18:38
233=dx+79 which is the equation of the remainder. Simplifying the equation becomes - dx=154 and it is given that d=a*b*c so substituting the value of d in above equation we get (abc)*x=154. Now prime factorization of 154 is 2*7*11 and assuming the quotient i.e. x=1 and considering the condition given ie. 1<a<b<c. This states that a=2, b=7 & c=11. So a+c=2+11=13, hence the answer is C.


Sent from my SM-N920G using GMAT Club Forum mobile app
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2800
Location: India
GPA: 3.12
Premium Member
Re: Integer d is the product of the integers a, b, and c and 1 < a < b < c [#permalink]

Show Tags

New post 13 Sep 2017, 20:47
Bunuel wrote:
Integer d is the product of the integers a, b, and c and 1 < a < b < c. If the remainder when 233 is divided by d is 79, what is the value of a+c?

A. 7
B. 9
C. 13
D. 14
E. 18


233 can be divided by 79 or 158 to give us a remainder of 79

When divided by 158, the difference is 75(3*5^2) but a < b < c
But, when divided by 79, the difference is 154(2*7*11).
Here 1 < a=2 < b=7 < c=11!

Therefore, a+c = 2+11 = 13(Option C)
_________________

You've got what it takes, but it will take everything you've got

Re: Integer d is the product of the integers a, b, and c and 1 < a < b < c   [#permalink] 13 Sep 2017, 20:47
Display posts from previous: Sort by

Integer d is the product of the integers a, b, and c and 1 < a < b < c

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


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®.