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# Rick has n number of chocolates with him where n > 4

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Senior Manager
Joined: 09 Feb 2015
Posts: 353
Location: India
Concentration: Social Entrepreneurship, General Management
Schools: Booth '21 (D)
GMAT 1: 690 Q49 V34
GMAT 2: 720 Q49 V39
GPA: 2.8
Rick has n number of chocolates with him where n > 4  [#permalink]

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01 Aug 2017, 01:43
1
00:00

Difficulty:

95% (hard)

Question Stats:

33% (00:56) correct 67% (02:20) wrong based on 24 sessions

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Rick has n number of chocolates with him where n > 4. There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2. How many such values of p are possible?

(1) n leaves a remainder of 1 when divided by 6.

(2) There are 4 distinct positive integers that divide the number of people in the room.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Math Expert
Joined: 02 Aug 2009
Posts: 7671
Re: Rick has n number of chocolates with him where n > 4  [#permalink]

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01 Aug 2017, 03:12
1
goforgmat wrote:
Rick has n number of chocolates with him where n > 4. There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2. How many such values of p are possible?

(1) n leaves a remainder of 1 when divided by 6.

(2) There are 4 distinct positive integers that divide the number of people in the room.

what does this mean..

Quote:
There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2.

we are just looking for factors of n..
statement I ..
nothing much
insuff

statement II..
this gives us as the number of positive factors as 4..
2 of these will be less than n/2 and 2 more..
suff

B
_________________
Manager
Joined: 02 Nov 2015
Posts: 163
GMAT 1: 640 Q49 V29
Re: Rick has n number of chocolates with him where n > 4  [#permalink]

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01 Aug 2017, 03:40
chetan2u wrote:
goforgmat wrote:
Rick has n number of chocolates with him where n > 4. There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2. How many such values of p are possible?

(1) n leaves a remainder of 1 when divided by 6.

(2) There are 4 distinct positive integers that divide the number of people in the room.

what does this mean..

Quote:
There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2.

we are just looking for factors of n..
statement I ..
nothing much
insuff

statement II..
this gives us as the number of positive factors as 4..
2 of these will be less than n/2 and 2 more..
suff

B

Hi chetn2u,
Can you pls help me understand the description of statement 2.
Unable to get it.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app
Senior Manager
Joined: 09 Feb 2015
Posts: 353
Location: India
Concentration: Social Entrepreneurship, General Management
Schools: Booth '21 (D)
GMAT 1: 690 Q49 V34
GMAT 2: 720 Q49 V39
GPA: 2.8
Re: Rick has n number of chocolates with him where n > 4  [#permalink]

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01 Aug 2017, 10:58
kumarparitosh123 wrote:
chetan2u wrote:
goforgmat wrote:
Rick has n number of chocolates with him where n > 4. There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2. How many such values of p are possible?

(1) n leaves a remainder of 1 when divided by 6.

(2) There are 4 distinct positive integers that divide the number of people in the room.

what does this mean..

Quote:
There are 2n people in the room out of which Rick wants to distribute chocolates equally among p number of people where 1 < p ≤ n/2.

we are just looking for factors of n..
statement I ..

nothing much
insuff

statement II..
this gives us as the number of positive factors as 4..
2 of these will be less than n/2 and 2 more..
suff

B

Hi chetn2u,
Can you pls help me understand the description of statement 2.
Unable to get it.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app

Suppose you have 6 chocolates and 3(note : n=6 p=3 <=n/2 ) people ,you would give 2 chocolates to each of the three . so 2 and 3 become factors of 6. The same is mentioned in the statement two quoted above .

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Rick has n number of chocolates with him where n > 4   [#permalink] 01 Aug 2017, 10:58
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