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

 It is currently 20 Nov 2018, 03:44

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Free lesson on number properties

November 23, 2018

November 23, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

# If c and d are both integers, c>d, and -3c>19, then the largest value

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

### Hide Tags

CEO
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

17 Jul 2015, 04:19
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

51% (01:18) correct 49% (01:14) wrong based on 144 sessions

### HideShow timer Statistics

If c and d are both integers, c>d, and -3c>19, then the largest value of d would be?

A. -5
B. -6
C. -7
D. -8
E. -10

Source: EmpowerGMAT
CEO
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

17 Jul 2015, 04:34
1
Engr2012 wrote:
If c and d are both integers, c>d, and -3c>19, then the largest value of d would be?

A. -5
B. -6
C. -7
D. -8
E. -10

Source: EmpowerGMAT

Given: c and d are both integers and -3c>19.

Whenever we talk about "greatest" values, only an inequality of the form $$a<X$$ or $$a\leq{Y}$$ will give the maximum value of a as either X-1 or Y (for 'a' $$\in$$ integer).

Now, -3c>19 ----> 3c<-19 ---> c<-6.33 ---> the maximum value of c is -7 (as c MUST be an integer, given).

As d<c and d is an integer , thus d<-7 ---> d = -8 as the maximum value. D is the correct answer.
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2702
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

18 Jul 2015, 05:25
1
Engr2012 wrote:
If c and d are both integers, c>d, and -3c>19, then the largest value of d would be?

A. -5
B. -6
C. -7
D. -8
E. -10

Source: EmpowerGMAT

Given : d < c

CONCEPT: For largest value of d, the value of c must be greatest

-3c > 19
i.e. 3c < -19
i.e. c < -19/3
i.e. c < -6.33
i.e. Largest Integer possible value of c which is less than -6.33 is -7
$$c_{max.} = -7$$

and since d < c
therefore Largest possible Integer Value of d is less than -7 i.e. -8

$$d_{max.} = -8$$

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Joined: 07 Jun 2015
Posts: 5
Concentration: Accounting, General Management
GMAT Date: 08-29-2015
Re: If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

18 Jul 2015, 10:07
I am having trouble understanding why the maximum of D is -8. What about -10? If C>D, then D could be any number less than -7, so, the largest in the 5 answer choices is -10....?
CEO
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

18 Jul 2015, 10:15
1
immanl wrote:
I am having trouble understanding why the maximum of D is -8. What about -10? If C>D, then D could be any number less than -7, so, the largest in the 5 answer choices is -10....?

No, your thinking is incorrect. When we know that c>d and c<-6.33, the largest value of c can be -7 while if c=-7, then largest value of d < -7 will be -8. For negative numbers, -7 > -8 and -8> -10 .

You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.

Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:

.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).

So, as per the question if d<c and c = -7 , then d's largest 'possible' value has to be -8.

-10 is smaller than -8.

Hope this helps.
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2702
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

18 Jul 2015, 20:32
immanl wrote:
I am having trouble understanding why the maximum of D is -8. What about -10? If C>D, then D could be any number less than -7, so, the largest in the 5 answer choices is -10....?

-10 is LESS than -8

therefore -8 is the biggest value of d

Any value towards the left on the Number line is smaller than the value to the right of the number

Please refer the picture attached to see the numbers on the Number line
Attachments

File comment: www.GMATinsight.com

number-line.jpg [ 21.39 KiB | Viewed 1520 times ]

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Joined: 07 Jun 2015
Posts: 5
Concentration: Accounting, General Management
GMAT Date: 08-29-2015
Re: If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

19 Jul 2015, 07:37
Engr2012 wrote:
immanl wrote:
I am having trouble understanding why the maximum of D is -8. What about -10? If C>D, then D could be any number less than -7, so, the largest in the 5 answer choices is -10....?

No, your thinking is incorrect. When we know that c>d and c<-6.33, the largest value of c can be -7 while if c=-7, then largest value of d < -7 will be -8. For negative numbers, -7 > -8 and -8> -10 .

You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.

Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:

.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).

So, as per the question if d<c and c = -7 , then d's largest 'possible' value has to be -8.

-10 is smaller than -8.

Hope this helps.

Thank you! I dont know what i was thinking!
Non-Human User
Joined: 09 Sep 2013
Posts: 8849
Re: If c and d are both integers, c>d, and -3c>19, then the largest value  [#permalink]

### Show Tags

05 Feb 2018, 09:22
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.
_________________
Re: If c and d are both integers, c>d, and -3c>19, then the largest value &nbs [#permalink] 05 Feb 2018, 09:22
Display posts from previous: Sort by

# If c and d are both integers, c>d, and -3c>19, then the largest value

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

 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®.