Last visit was: 17 Jul 2025, 12:14 It is currently 17 Jul 2025, 12:14
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
User avatar
OmerKor
Joined: 24 Jan 2024
Last visit: 15 Jul 2025
Posts: 138
Own Kudos:
149
 [1]
Given Kudos: 149
Location: Israel
Posts: 138
Kudos: 149
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Arsh001
Joined: 09 Mar 2023
Last visit: 09 Jul 2025
Posts: 29
Own Kudos:
10
 [1]
Given Kudos: 311
Posts: 29
Kudos: 10
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
varunkeeja
Joined: 30 Oct 2020
Last visit: 17 July 2025
Posts: 14
Own Kudos:
11
 [1]
Given Kudos: 67
Posts: 14
Kudos: 11
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
missionmba2025
Joined: 07 May 2023
Last visit: 15 Jul 2025
Posts: 352
Own Kudos:
420
 [1]
Given Kudos: 51
Location: India
Products:
Posts: 352
Kudos: 420
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 


Numbers from 1 to 9 contribute only 1 digit to the chain. Hence, the 9th digit will be 9.

Numbers from 10 to 99 contribute 2 digits each to the chain. Total digits contributed = 2*90 = 180

Hence, the 190th digit will be 9.

Remaining digits = 341 - 189 = 152.

Each number post 99 contributes 3 digits to the chain. Hence, 50 digits contribute 150 digits. We have two digits more to go -

  • The 151th number is 1
  • The 152th number is 5

Option D
User avatar
Tishaagarwal13
Joined: 28 Jun 2024
Last visit: 06 Jul 2025
Posts: 87
Own Kudos:
63
 [1]
Given Kudos: 54
Location: India
Concentration: Finance, Entrepreneurship
Posts: 87
Kudos: 63
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total number of digits:
1 to 9 = 9 digits
10-99 = 2*(99-10+1) = 180
100-999 = 3*k

The equation would be:
9+180+3k = 341
k = 152/3 or 50*2/3

So, starting from 100, the 50th 3-digit number would be 100+50-1 = 149.
For the remaining 2/3rd, we will take the 2nd digit of the next number 150 i.e. 5.

Hence the correct answer is D) 5
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
TheLegacy
Joined: 11 Nov 2024
Last visit: 17 July 2025
Posts: 17
Own Kudos:
13
 [1]
Given Kudos: 1
Location: Italy
GPA: 3.5
Products:
Posts: 17
Kudos: 13
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We must recognize that we deal with two patterns: +20 (tenths) and +30 (hundreds).

10th digit is 1 (of 10)
30th digit is 2 (of 20),
50th digit is 3 (of 30),
...

190th digit is 1 (of 100).

We are now dealing with hundreds... so:

190th digit is 1 (of 100)
220th digit is 1 (of 110)
250th digit is 1 (of 120)
280th digit is 1 (of 130)
310th digit is 1 (of 140)
340th digit is 1 (of 150)

Hence the 341th digit will be 5 (of 150).

(I honestly spent some time, not the standard 2:00 min...if you know a faster approach, please let me know, thx =)
User avatar
aarati17
Joined: 20 Aug 2024
Last visit: 18 Apr 2025
Posts: 27
Own Kudos:
25
 [1]
Given Kudos: 10
Posts: 27
Kudos: 25
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ans: D. 5

The natural numbers are written sequentially

So, 1-9 makes the count as 9
10-99 => 90 numbers with each number consisting of 2 digits. So, total digits = 90*2 = 180

Digits remaining = 341-180-9 = 152

Starting from 100, each number has 3 digits

So, from 100 to 149, there are 50 numbers and total digits = 50*3=150

Total digits till now = 9+180+150 = 339
Remaining digits = 2
So the last number will be 150 and the 341st number should be 5 (2nd digit of 150)
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
rns2812
Joined: 10 Nov 2024
Last visit: 15 Jul 2025
Posts: 60
Own Kudos:
51
 [1]
Given Kudos: 14
Posts: 60
Kudos: 51
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Number of single digit numbers(1-9) = 9
Number of double digit numbers(10-99) = 90
Number of three digit numbers(100-999) = 990


Number of digits taken in k by single digit numbers = 9 * 1 = 9
Number of digits taken in k by double digit numbers = 90 * 2 = 180


Number of digits left = 341- 180 - 9 = 152

Number of 3 digit numbers possible with 152 digits = 152/3 = 50 numbers

100 - 149 -> 150 digits
Next number = 150

Remaining digits = 2

Required answer = 5 (OPTION D)



Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
jkkamau
Joined: 25 May 2020
Last visit: 17 Jul 2025
Posts: 134
Own Kudos:
106
 [1]
Given Kudos: 13
Location: Kenya
Schools: Haas '25
GMAT 1: 730 Q50 V46
GPA: 3.5
Schools: Haas '25
GMAT 1: 730 Q50 V46
Posts: 134
Kudos: 106
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Writing the numbers upto 40 reveals that the numbers increase after every 20 digits so divide 340 by 20 with the following digit being a 5. For instance 20th digit is 15, 40th digit is 25m 60th digit is 35 meaning the 341st digit will be a 5 hence D.
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
kalpak8
Joined: 25 Jul 2024
Last visit: 14 Jul 2025
Posts: 34
Own Kudos:
Given Kudos: 112
Location: India
Concentration: Operations, Technology
WE:Project Management (Pharmaceuticals and Biotech)
Products:
Posts: 34
Kudos: 40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Every 1 digit number will occupy a single space so the first 9 numbers will occupy 9 spaces.
Similarly, 2 digit nos. (10, 11 ...99) which are 90 nos = 90x2= 180 spaces.
and 3 digits will occupy 3 spaces (100,101..) and u can calculate up to 341st number.
9+180+x = 341, x=152 and divided by 3 we can conclude it will be after 50th 3 digit number. which is 149.

Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
Mardee
Joined: 22 Nov 2022
Last visit: 17 Jul 2025
Posts: 134
Own Kudos:
Given Kudos: 17
Posts: 134
Kudos: 110
Kudos
Add Kudos
Bookmarks
Bookmark this Post
No of digits from 1 to 9 = 9 digits
No of digits from 10 to 99 = 90 x 2 = 180 (Total number = 99 - 10 + 1 = 90)
No of digits from 100 to 999 = 900 x 3 = 2700 (Total number = 999 - 100 + 1 = 900)

So number is between 100 to 999
We check from 189th digit position for the 341st digit
=> 341 - 189 = 152

To find which number we divide 152 by 3, which gives us a value of 50 with remainder 2

So, 50th 3 digit number = 149
Since remainder 2, the 341st digit = 4

C. 4
User avatar
Nikkz99
Joined: 23 Jun 2021
Last visit: 17 Jul 2025
Posts: 91
Own Kudos:
46
 [1]
Given Kudos: 1,142
Location: India
GPA: 3.54
Posts: 91
Kudos: 46
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
we have 9 digits of 1 digit number (as it starts from the number 1); there will be 180 digits in 2 digit number : inclusive of 10 and 99; so as of now we have total of 189 digits. We need to find the 341st digit. so 341-189 -> 152nd digit from the 3 digit number.

so 152/3 -> 50.67 which means 2nd digit of a number after 150 which is nothing but 15[/b]1
User avatar
eega
Joined: 24 May 2024
Last visit: 12 Jul 2025
Posts: 39
Own Kudos:
Given Kudos: 47
Location: India
Schools: ISB '27
Schools: ISB '27
Posts: 39
Kudos: 28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
There are 9 one digit which will be first 9 digits of k
There are 90 two digit numbers starting form 10 - 99 which forms next 180 digits of k
Hence from 341 the remaining are 152 digits
From this first 50 three digit numbers starting from 100 -149 give the next 150 digits
150 is the next number and 5 will be the 341st digit

Hence option D. 5 is the answer

Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

If k is the number formed by writing the integers from 1 to 999 sequentially (123456789101112...998999), what is the 341st digit in k?

A. 0
B. 1
C. 4
D. 5
E. 9

 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

   1   2   3   4   5 
Moderators:
Math Expert
102603 posts
PS Forum Moderator
697 posts