Last visit was: 12 Jun 2026, 00:50 It is currently 12 Jun 2026, 00:50
Home
Messages
MBA Fair
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Jun 2026
Posts: 111,218
Own Kudos:
820,167
 [6]
Given Kudos: 106,765
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 111,218
Kudos: 820,167
 [6]
How many 7-digit palindromes (numbers that read the same backward as f 28 Mar 2019, 23:48
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

66% (01:40) correct 34% (01:49) wrong based on 186 sessions

History

Date
Time
Result
Not Attempted Yet
How many 7-digit palindromes (numbers that read the same backward as forward) can be formed using the digits 2, 2, 3, 3, 5, 5, 5?

(A) 6
(B) 12
(C) 24
(D) 36
(E) 48
ShowHide Answer
Official Answer
A
avatar
artiom01
avatar
Joined: 12 Sep 2018
Last visit: 02 Jan 2024
Posts: 21
Own Kudos:
17
Given Kudos: 33
Posts: 21
Kudos: 17
How many 7-digit palindromes (numbers that read the same backward as f 29 Mar 2019, 01:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
2355532
3255523

2535352
3525253

5235325
5325235

A.6
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 11 Jun 2026
Posts: 8,673
Own Kudos:
5,209
 [1]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,673
Kudos: 5,209
 [1]
How many 7-digit palindromes (numbers that read the same backward as f Updated on: 29 Mar 2019, 06:51
Originally posted by Archit3110 on 29 Mar 2019, 03:30.
Last edited by Archit3110 on 29 Mar 2019, 06:51, edited 1 time in total.
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
How many 7-digit palindromes (numbers that read the same backward as forward) can be formed using the digits 2, 2, 3, 3, 5, 5, 5?

(A) 6
(B) 12
(C) 24
(D) 36
(E) 48
Show more

abcdcba ; d= 5
palindrome possible
3*2*1
6
IMOA
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 11 Jun 2026
Posts: 16,493
Own Kudos:
79,903
 [3]
Given Kudos: 485
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,493
Kudos: 79,903
 [3]
How many 7-digit palindromes (numbers that read the same backward as f 29 Mar 2019, 04:05
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
How many 7-digit palindromes (numbers that read the same backward as forward) can be formed using the digits 2, 2, 3, 3, 5, 5, 5?

(A) 6
(B) 12
(C) 24
(D) 36
(E) 48
Show more

We need a 7 digit number with two 2s, two 3s and three 5s. Whatever comes in first 3 spots needs to come in the last 3 spots too so it will be in pairs. The only extra digit is a 5. Hence we will have

__ __ __ 5 __ __ __

Now, 2,3 and 5 can be arranged in the first 3 spots in 3! ways = 6 ways. Whatever the arrangement, the same arrangement will need to be maintained in the last 3 spots in reverse order e.g. 2 3 5 5 5 3 2

Hence there are only 6 ways of writing a palindrome.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,194
Own Kudos:
1,128
Posts: 39,194
Kudos: 1,128
How many 7-digit palindromes (numbers that read the same backward as f 22 Dec 2024, 22:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
111218 posts