Last visit was: 02 Oct 2026, 05:09 It is currently 02 Oct 2026, 05:09
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

n is a positive integer between 200 and 500.

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 36246
Own Kudos [?]: 43499 [6]
Given Kudos: 27276
Send PM
n is a positive integer between 200 and 500. [#permalink] New post   15 Feb 2021, 06:58
2
Expert Reply
4
Bookmarks
00:00

Question Stats:

67% (01:10) correct 32% (01:01) wrong based on 129 sessions

Hide Show timer Statistics

\(n\) is a positive integer between 200 and 500.


Quantity A
Quantity B
The number of possible values of \(n\) with a unit digit of 5
31



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.

Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
ShowHide Answer
Official Answer
B
User avatar
P
Ks1859
Retired Moderator
Joined: 09 Jan 2021
Posts: 574
Own Kudos [?]: 868 [2]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Reviews Badge
Re: n is a positive integer between 200 and 500. [#permalink] New post   15 Feb 2021, 07:13
2
Hello!!

We can find the number of 5's in units place by simply knowing how many multiples of 5 are there in every 100 numbers.

Thus, we have 20 multiples of 5 from 1-100, even though we are not asked about 1-100 it would be same further.
And from those 20 multiples 10 will have units digit as 5 & 10 will have units digit as 0.
Hence, there are 5 comes 10 times in the units digit in every 100 numbers.
200-300--> 10 times
300-400--> 10 times
400-500--> 10 times

Thus, the total is 30.

Therefore Quantity A< Quantity B

Hope this helps!
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3887 [4]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   15 Feb 2021, 07:26
4
Carcass wrote:
\(n\) is a positive integer between 200 and 500.


Quantity A
Quantity B
The number of possible values of \(n\) with a unit digit of 5
31



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.



Let us say the number is abc

Since, the number is between 200 and 500, we have only 3 values for a (i.e. 2, 3 and 4)

For b, we can 10 values (i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9)

For c, we have only 1 values (i.e. 5)

So, Total numbers = 3 x 10 x 1 = 30

Col. A = 30
Col. B = 31

Hence, option B
User avatar
S
tapas3016
Retired Moderator
Joined: 29 Mar 2020
Posts: 140
Own Kudos [?]: 352 [3]
Given Kudos: 24
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   16 Feb 2021, 06:54
2
1
Bookmarks
a = 205, l =495, d=10
l=a+(n-1)d
495=205+(n-1)10
290=(n-1)10
29=(n-1)
n=30

option b is correct
avatar
S
nurakib
Manager
Manager
Joined: 22 Sep 2020
Posts: 74
Own Kudos [?]: 71 [1]
Given Kudos: 97
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   16 Feb 2021, 07:03
1
Sometimes using brute force is the best helper out there. Unit digit 5 means the numbers which are going to have 5 in the last position(from left to right).

So, let's consider a batch of 10 number from the range, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210. Only 205 meet our criteria, and there will 30 batches in total, 1 number from each batch is going to meet the criteria.

Now, Qnt A = 30, Qnt B = 31. So, the Answer is B
avatar
Harshi95
Intern
Intern
Joined: 26 Jan 2021
Posts: 15
Own Kudos [?]: 10 [2]
Given Kudos: 6
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   16 Feb 2021, 07:54
2
Positive integer between 200 to 500 with the units digit being 5.
The list starts with 205 and goes on till 295.
there are a total of 10 numbers in the column with 2 in the hundreds place and 5 in the units.

There will be equal number of integers in the list with 3 and 4 in the hundreds place and 5 in the units place.

therefore 10 x 3=30

Solution: Option B

(In such case I prefer doing the column x rows concept to work out the solutions:
205 305 405
215 - -
225 - -
235 - -
245 - -
255 - -
265 - -
275 - -
285 - -
295 - -

Columns x rows- 3 x 10=30 )
avatar
B
khaisev
Intern
Intern
Joined: 07 Jan 2021
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 52
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   16 Feb 2021, 14:08
Multiples of 5 end with 0 or 5 alternating...Question has even number range, so we are to sure get an equal number of zero-ending and five-ending multiples...there are (500-200)/5 multiples of 5. Half the 60 end with zero, the other half with 5, so 30.
avatar
B
khaisev
Intern
Intern
Joined: 07 Jan 2021
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 52
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   16 Feb 2021, 14:12
Multiples of 5 end with 0 or 5 alternating...Question has even number range, so we are to sure get an equal number of zero-ending and five-ending multiples...there are (500-200)/5 multiples of 5. Half the 60 end with zero, the other half with 5, so 30 for A...hence B.
avatar
S
pattypat
Manager
Manager
Joined: 23 Jul 2022
Posts: 66
Own Kudos [?]: 44 [0]
Given Kudos: 366
Re: n is a positive integer between 200 and 500. [#permalink] New post   27 Jul 2022, 04:39
KarunMendiratta wrote:
Carcass wrote:
\(n\) is a positive integer between 200 and 500.


Quantity A
Quantity B
The number of possible values of \(n\) with a unit digit of 5
31



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.



Let us say the number is abc

Since, the number is between 200 and 500, we have only 3 values for a (i.e. 2, 3 and 4)

For b, we can 10 values (i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9)

For c, we have only 1 values (i.e. 5)

So, Total numbers = 3 x 10 x 1 = 30

Col. A = 30
Col. B = 31

Hence, option B



Thank you so much. The best :)
avatar
B
cote
Intern
Intern
Joined: 11 Aug 2020
Posts: 45
Own Kudos [?]: 83 [0]
Given Kudos: 17
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   27 Jul 2022, 11:34
KarunMendiratta wrote:
Carcass wrote:
\(n\) is a positive integer between 200 and 500.


Quantity A
Quantity B
The number of possible values of \(n\) with a unit digit of 5
31



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.



Let us say the number is abc

Since, the number is between 200 and 500, we have only 3 values for a (i.e. 2, 3 and 4)

For b, we can 10 values (i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9)

For c, we have only 1 values (i.e. 5)

So, Total numbers = 3 x 10 x 1 = 30

Col. A = 30
Col. B = 31

Hence, option B


What a clever answer! kudos for you!
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 6097
Own Kudos [?]: 87 [0]
Given Kudos: 0
Send PM
Re: n is a positive integer between 200 and 500. [#permalink] New post   23 Nov 2025, 12:47
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: n is a positive integer between 200 and 500. [#permalink]
23 Nov 2025, 12:47
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