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

It is currently 08 Dec 2019, 01:53

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

Is the positive two-digit integer N less than 40 ?

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

Hide Tags

Find Similar Topics 
Intern
Intern
User avatar
B
Joined: 30 Jun 2019
Posts: 7
Location: United States
Re: Is the positive two-digit integer N less than 40 ?  [#permalink]

Show Tags

New post 02 Jul 2019, 08:49
Is the positive two-digit integer N less than 40 ?
(1) The units digit of N is 6 more than the tens digit. --> so can be only: 39, 28, 17, 06 which each option is indeed <40 --> Sufficient.
(2) N is 4 less than 4 times the units digit. --> Highest value for Unit is 9 --> if Unit=9 --> 4*9=36 --> N=32. --> Sufficient.
Therefore D.

* Note, we do not need to solve it(as I did), we just to understand the logic in each scenario:
1. indeed <40 --> Sufficient
2. indeed <40 --> Sufficient
D
VP
VP
User avatar
V
Joined: 23 Feb 2015
Posts: 1341
GMAT ToolKit User Premium Member
Re: Is the positive two-digit integer N less than 40 ?  [#permalink]

Show Tags

New post 24 Nov 2019, 00:40
1
Bunuel wrote:
Is the positive two-digit integer N less than 40 ?

(1) The units digit of N is 6 more than the tens digit --> the greatest possible value of the units digit is 9, thus the greatest possible value of the tens digit is 9-6=3, which means that N is less than 40. Sufficient.

(2) N is 4 less than 4 times the units digit. The same here: the greatest possible value of the units digit is 9, thus the greatest possible value of N is 4*9-4=32. Sufficient.

Answer: D.

Bunuel
Shouldn't be the greatest possible value either 39 or 32 in both statements? If this is possible then the statements contradict each other, don't they?
Thanks__
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow

SEARCH FOR ALL TAGS
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59588
Is the positive two-digit integer N less than 40 ?  [#permalink]

Show Tags

New post 24 Nov 2019, 02:00
Asad wrote:
Bunuel wrote:
Is the positive two-digit integer N less than 40 ?

(1) The units digit of N is 6 more than the tens digit --> the greatest possible value of the units digit is 9, thus the greatest possible value of the tens digit is 9-6=3, which means that N is less than 40. Sufficient.

(2) N is 4 less than 4 times the units digit. The same here: the greatest possible value of the units digit is 9, thus the greatest possible value of N is 4*9-4=32. Sufficient.

Answer: D.

Bunuel
Shouldn't be the greatest possible value either 39 or 32 in both statements? If this is possible then the statements contradict each other, don't they?
Thanks__


No, the statements do not contradict each other. If you combine the statements, N turns out to be 28.
_________________
VP
VP
User avatar
V
Joined: 23 Feb 2015
Posts: 1341
GMAT ToolKit User Premium Member
Re: Is the positive two-digit integer N less than 40 ?  [#permalink]

Show Tags

New post 24 Nov 2019, 02:12
Bunuel wrote:
Asad wrote:
Bunuel wrote:
Is the positive two-digit integer N less than 40 ?

(1) The units digit of N is 6 more than the tens digit --> the greatest possible value of the units digit is 9, thus the greatest possible value of the tens digit is 9-6=3, which means that N is less than 40. Sufficient.

(2) N is 4 less than 4 times the units digit. The same here: the greatest possible value of the units digit is 9, thus the greatest possible value of N is 4*9-4=32. Sufficient.

Answer: D.

Bunuel
Shouldn't be the greatest possible value either 39 or 32 in both statements? If this is possible then the statements contradict each other, don't they?
Thanks__


No, the statements do not contradict each other. If you combine the statements, N turns out to be 28.

Could you help me by combining both statements, please?
Thanks__
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow

SEARCH FOR ALL TAGS
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59588
Re: Is the positive two-digit integer N less than 40 ?  [#permalink]

Show Tags

New post 24 Nov 2019, 02:30
Asad wrote:
Could you help me by combining both statements, please?
Thanks__


Sure.

To elaborate more: the question does not ask: what is the greatest possible value of N. The question asks: is N less than 40. From both statements we get an YES answer for the question, because even the greatest possible value of N from each statement is less than 40.

If you combine the statements, N turns out to be 28.

From (1) N could be: 39, 28, or 17.
From (2) N could be only 28.
_________________
GMAT Club Bot
Re: Is the positive two-digit integer N less than 40 ?   [#permalink] 24 Nov 2019, 02:30

Go to page   Previous    1   2   [ 25 posts ] 

Display posts from previous: Sort by

Is the positive two-digit integer N less than 40 ?

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





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