BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

palindrome

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 142
Joined: Mon Jan 10, 2011 8:03 am
Thanked: 19 times
by krishnasty » Sat Aug 06, 2011 12:41 pm
A palindrome is a number that reads the same forward and backward, such as 242. How many even five-digit numbers are palindromes?
40
400
500
5,000
100,000

No OA provided
---------------------------------------
Appreciation in thanks please!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members
Location: Chennai, India
Thanked: 206 times
GMAT Score:640

by GmatKiss » Sat Aug 06, 2011 12:43 pm
should be 400/500 !
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1578
Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members
Thanked: 82 times
GMAT Score:720

by maihuna » Sat Aug 06, 2011 12:45 pm
Even it means ending in 2/4/6/8 excluding 0, as leading zero can not be counted for 5 digits.
2nd and 2nd last element can be any of 0-9
middle element any of 0-9

so it should be : 4*10*10 i.e. 400
krishnasty wrote:A palindrome is a number that reads the same forward and backward, such as 242. How many even five-digit numbers are palindromes?
40
400
500
5,000
100,000

No OA provided
Charged up again to beat the beast :)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 142
Joined: Mon Jan 10, 2011 8:03 am
Thanked: 19 times

by krishnasty » Sat Aug 06, 2011 8:52 pm
i am still not able to understand. Can any1 elaborate on the solution?
---------------------------------------
Appreciation in thanks please!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members
Location: India
Thanked: 375 times

by Frankenstein » Sat Aug 06, 2011 9:11 pm
krishnasty wrote:i am still not able to understand. Can any1 elaborate on the solution?
Hi,
Palindrome is of the form abcba.
a is even -> it can be 2,4,6,8 -> 4 values
b is any number from 0 to 9 -> 10 values
c is any number from 0 to 9 -> 10 values

So, total number of even 5-digit palindromes = 4*10*10 = 400
Cheers!

Things are not what they appear to be... nor are they otherwise
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Sat Aug 06, 2011 9:13 pm
krishnasty wrote:i am still not able to understand. Can any1 elaborate on the solution?
As the number has to be even, the last digit must be either 0 or 2 or 4 or 6 or 8. But as the number also has to be a palindrome, if the last digit is zero then the first digit will be also zero. That will make the number a four digit number. Hence, last digit cannot be equal to zero.

As the number has to be a palindrome, the number will be of the form ABCBA.

Now A can be either 2 or 4 or 6 or 8. Thus, we have 4 choices for A.
And B and C can be any of the 10 digits (0 to 9). So 10 choices for both B and C.

Hence, the number of such five digit numbers = 4*10*10 = 400

The correct answer is B.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1