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

It is currently 22 Oct 2019, 17:06

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

If n is 2-digit positive integer, n=? (1) n is the product of 6 prime

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
B
Joined: 04 Jan 2018
Posts: 13
If n is 2-digit positive integer, n=? (1) n is the product of 6 prime  [#permalink]

Show Tags

New post 23 Nov 2018, 00:42
2
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:41) correct 37% (01:49) wrong based on 63 sessions

HideShow timer Statistics

If n is 2-digit positive integer, n=?

(1) n is the product of 6 prime numbers.
(2) n is divisible by 6.
Manager
Manager
avatar
S
Joined: 17 Jul 2017
Posts: 193
CAT Tests
Re: If n is 2-digit positive integer, n=? (1) n is the product of 6 prime  [#permalink]

Show Tags

New post 23 Nov 2018, 00:57
1
nehalkapadi123 wrote:
If n is 2-digit positive integer, n=?

1) n is the product of 6 prime numbers.

(2) n is divisible by 6.


Answer is C.

1) n is the product of 6 prime numbers.


so n can be=2*2*2*2*2*2=64 or
n can be 2*2*2*2*2*3=96
cannot be other numbers else it will become three digit
say n=2*2*2*2*2*5=160 so not possible
n=2*2*2*2*3*3=144 so not possible

2)can be 12,18,24..............

Combine

from frst we know n can be 64 or 96 but 2nd says it must b divisble by 6 so only 96 is divisble by 6 not 64 so C i.e n=96
VP
VP
avatar
V
Joined: 30 Jan 2016
Posts: 1161
Reviews Badge CAT Tests
Re: If n is 2-digit positive integer, n=? (1) n is the product of 6 prime  [#permalink]

Show Tags

New post 23 Nov 2018, 08:56
1
Does anyone else see that weird sign?
Attachments

Untitled.png
Untitled.png [ 73 KiB | Viewed 451 times ]


_________________
Non progredi est regredi
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58427
Re: If n is 2-digit positive integer, n=? (1) n is the product of 6 prime  [#permalink]

Show Tags

New post 23 Nov 2018, 09:01
Intern
Intern
avatar
B
Joined: 13 Nov 2018
Posts: 20
Location: India
GMAT 1: 590 Q43 V28
Premium Member
If n is 2-digit positive integer, n=? (1) n is the product of 6 prime  [#permalink]

Show Tags

New post 23 Nov 2018, 09:28
nehalkapadi123 wrote:
If n is 2-digit positive integer, n=?

(1) n is the product of 6 prime numbers.
(2) n is divisible by 6.



1) n is the product of 6 prime numbers.

It means n should be a two digit no, which is also a pdt of 6 prime nos. No restriction vis-a-vis whether they are distinct, same etc etc

Therefore n can be=2*2*2*2*2*2=64 or n can be 2*2*2*2*2*3=96
If u use any other no, the product will not remain a 2 digit no.
Let us try with some examples , ex. n=2*2*2*2*2*5=160
n=2*2*2*3*3*3=216......

Not sufficient

2) divisible by 6 means n can be 12,18,24, 30,36, etc......Not sufficient

Combining (1) and (2)

As per statement (1) b can be 64 or 96
As per statement (2) n is divisible by 6.
Ans is 96..............
Correct option s C
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5032
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If n is 2-digit positive integer, n=? (1) n is the product of 6 prime  [#permalink]

Show Tags

New post 23 Nov 2018, 18:26
nehalkapadi123 wrote:
If n is 2-digit positive integer, n=?

(1) n is the product of 6 prime numbers.
(2) n is divisible by 6.


N= A*B where both A and B are +ve integers ( given)

From 1: N= A*B can be ( product of (2^5 or 2^5*3 ) so many multiple answers not sufficient....

From 2: n can be any 2 digit value viz. 12,18,24,30.... not sufficient

From 1&2 : we need to find a no. which is product of 6 prime nos and is also divisible by 6 so only possible no is 2^5*3= 96.. IMO C
GMAT Club Bot
Re: If n is 2-digit positive integer, n=? (1) n is the product of 6 prime   [#permalink] 23 Nov 2018, 18:26
Display posts from previous: Sort by

If n is 2-digit positive integer, n=? (1) n is the product of 6 prime

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





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