Last visit was: 15 Oct 2026, 12:53 It is currently 15 Oct 2026, 12:53
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Santa visited an orphanage housing 13 children.

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
G
harishsridharan
Manager
Manager
Joined: 04 Jan 2019
Posts: 62
Own Kudos [?]: 128 [20]
Given Kudos: 5
Send PM
Santa visited an orphanage housing 13 children. [#permalink] New post   05 Mar 2021, 10:19
4
16
Bookmarks
00:00

Question Stats:

41% (02:48) correct 58% (02:35) wrong based on 160 sessions

Hide Show timer Statistics

Santa visited an orphanage housing 13 children. He brought with him a total of n presents. Ensuring that each child received an equal number of presents, Santa returned to the North Pole with 11 undistributed presents.

Quantity A
Quantity B
The number of presents Santa would have come home with if the orphanage had 1 more child.
The number of presents Santa would have come home with if the orphanage had 2 more children.


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
D
Most Helpful Community Reply
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3893 [9]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   06 Mar 2021, 02:32
4
5
Bookmarks
harishsridharan wrote:
Santa visited an orphanage housing 13 children. He brought with him a total of n presents. Ensuring that each child received an equal number of presents, Santa returned to the North Pole with 11 undistributed presents.

Quantity A
Quantity B
The number of presents Santa would have come home with if the orphanage had 1 more child.
The number of presents Santa would have come home with if the orphanage had 2 more children.


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Remember, any number \(N\) when divided by divisor \(x\) can be written as \(xQ + R\)
Where, Q = quotient and R = remainder

Using the above logic, Number of Presents = \(13Q + 11\)

Let us assume Q = 1 and 10
Number of Presents then could be 24 and 141

Case I: \(P = 24\)
Col. A: on dividing 24 by 14, remainder is 10
Col. B: on dividing 24 by 15, remainder is 9

Col. A > Col. B

Case II: \(P = 141\)
Col. A: on dividing 141 by 14, remainder is 1
Col. B: on dividing 141 by 15, remainder is 6

Col. A < Col. B

Hence, option D

[NOTE: try to pick 2-3 values having a difference of 5-10 in between them]
General Discussion
avatar
S
FCOCGALVAN
Manager
Manager
Joined: 01 Dec 2018
Posts: 87
Own Kudos [?]: 35 [0]
Given Kudos: 38
Send PM
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   05 Mar 2021, 19:58
D

Remainder theory, but it's time consuming cuz you have to try several values before getting B greater than A.
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12850 [2]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   07 Mar 2021, 07:12
2
harishsridharan wrote:
Santa visited an orphanage housing 13 children. He brought with him a total of n presents. Ensuring that each child received an equal number of presents, Santa returned to the North Pole with 11 undistributed presents.

Quantity A
Quantity B
The number of presents Santa would have come home with if the orphanage had 1 more child.
The number of presents Santa would have come home with if the orphanage had 2 more children.


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Given: Each child received the same number of presents
So, let's say that each child received k presents.
So, 13k = the the number of presidents that were distributed.
Since there were 11 undistributed presents, then 13k + 11 = the total number of presents that Santa brought.

In other words, n = 13k + 11
So, by plugging in different integer values of k we get different values of n.
Some possible values of n are: 24, 37, 50, 63, 76, 89, 102....

If n = 24, we get:
QUANTITY A: 24 gifts divided among 14 children leaves a remainder of 10 gifts
QUANTITY B: 24 gifts divided among 15 children leaves a remainder of 9 gifts
Quantity A is greater.

If n = 89, we get:
QUANTITY A: 89 gifts divided among 14 children leaves a remainder of 5 gifts
QUANTITY B: 89 gifts divided among 15 children leaves a remainder of 14 gifts
Quantity B is greater.

Answer: D
avatar
B
KC15
Intern
Intern
Joined: 08 Aug 2022
Posts: 49
Own Kudos [?]: 46 [0]
Given Kudos: 98
Send PM
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   28 Aug 2022, 12:13
I set up a table and starred the higher remainder.

# presents | Remainder 14 children | Remainder w/15 children
1*13+11 = 24 | 10* | 9
2*13+11 = 37 | 9* | 7
3*13+11 = 50 | 8* | 5
noticing a pattern, I guessed if I counted several up, the 15 children column would cycle around past zero and get high while the 14 children column would continue going down, and this proved correct
.
.
6*13+11=89 | 5 | 14*


Since the higher remainder switched columns, the answer is D.
avatar
ShreyasKulkarni
Intern
Intern
Joined: 10 Sep 2023
Posts: 1
Own Kudos [?]: 2 [2]
Given Kudos: 2
Send PM
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   14 Sep 2023, 21:03
1
1
Bookmarks
A rather simple way to solve this by taking two conditions
First assume he had 13 gifts for each making it 24 (13 given 11 left) so A answer is correct
Now is the cheeky part I have used to solve.
What is santa did not give any present and carried 11 home?
Condition All orphans gets the same number of presents -- technically yes (0)
So even if you add 1 or 100 it wont matter cause none of them will get a present
So D
avatar
B
gauravganju
Intern
Intern
Joined: 17 Aug 2024
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 1
Send PM
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   29 Aug 2024, 23:31
1
You can also look at is as if there are 13 children and n = 2 there are 11 remaining gifts, and if there are (13 + 1) 14 children then the remaining gifts decrease by 2. If you take n = 3 the remaining gifts decrease by 3. Thus, the question is dependent on the value of n which is not given and also cannot be calculated.
avatar
S
lamluoihoc
Manager
Manager
Joined: 19 Aug 2025
Posts: 72
Own Kudos [?]: 46 [0]
Given Kudos: 41
Send PM
Re: Santa visited an orphanage housing 13 children. [#permalink] New post   05 Oct 2026, 23:07
yep, you gotta try several values before getting to the right answer which is D
Prep Club for GRE Bot
gmatclubot
Re: Santa visited an orphanage housing 13 children. [#permalink]
05 Oct 2026, 23:07
Moderators:
adewale223
GRE Instructor
167 posts
bronaugust
GRE Forum Moderator
37 posts
VibhuAnurag
GRE Instructor
275 posts
Nsp10
Moderator
45 posts
tyrant100
GRE Forum Moderator
144 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact | Advertise