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

 It is currently 17 Oct 2018, 06:07

### 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

# M05-20

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49968

### Show Tags

16 Sep 2014, 00:25
1
9
00:00

Difficulty:

65% (hard)

Question Stats:

59% (01:21) correct 41% (01:39) wrong based on 175 sessions

### HideShow timer Statistics

When positive integer $$p$$ is divided by 7 the remainder is 2. Is $$p$$ divisible by 8?

(1) $$p$$ is divisible by 2 and 3

(2) $$p \lt 100$$

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 49968

### Show Tags

16 Sep 2014, 00:25
1
1
Official Solution:

When positive integer $$p$$ is divided by 7 the remainder is 2: $$p=7q+2$$, so p can be: 2, 9, 16, 23, 30, 37, 44, 51, 58, 65, 72, ...

(1) $$p$$ is divisible by 2 and 3. This statement tells that $$p$$ is a multiple of 6, so $$p$$ could be 30 (answer NO) or 72 (answer YES). Not sufficient.

(2) $$p \lt 100$$. Clearly insufficient.

(1)+(2) $$p$$ can still be 30 (answer NO) or 72 (answer YES). Not sufficient.

_________________
Current Student
Joined: 31 Oct 2011
Posts: 52
Location: India
GMAT 1: 660 Q48 V32
GPA: 3.56
WE: Programming (Computer Software)

### Show Tags

28 Sep 2016, 10:11
Is there an algebraic solution to this, rather than having to write the first 10 possible values of p?
Intern
Joined: 12 Sep 2016
Posts: 13

### Show Tags

11 Jan 2017, 18:03
rajarams wrote:
Is there an algebraic solution to this, rather than having to write the first 10 possible values of p?

Experts - Please suggest if this can be solved by some other method

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 49968

### Show Tags

11 Jan 2017, 21:59
ankur2710 wrote:
rajarams wrote:
Is there an algebraic solution to this, rather than having to write the first 10 possible values of p?

Experts - Please suggest if this can be solved by some other method

Thanks

Check here: when-positive-integer-p-is-divided-by-7-the-remainder-is-75299.html
_________________
Intern
Joined: 06 Jun 2018
Posts: 35
GMAT 1: 590 Q44 V27
GMAT 2: 540 Q42 V22

### Show Tags

05 Oct 2018, 06:51
Bunuel

"This statement tells that pp is a multiple of 6, so pp could be 30 (answer NO) or 72 (answer YES). Not sufficient " So here 30 or 72 are derived doing manual check such as 6,12,.....30...36....72 or any other way you directly arrived to these 2 number ?
Re: M05-20 &nbs [#permalink] 05 Oct 2018, 06:51
Display posts from previous: Sort by

# M05-20

Moderators: chetan2u, Bunuel

 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®.