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A palindrome is a number that reads the same forward and

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Joined: 09 Feb 2012
Posts: 72
Location: India
Concentration: Marketing, Strategy
GMAT 1: 640 Q48 V31
GPA: 3.45
WE: Marketing (Pharmaceuticals and Biotech)
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Kudos [?]: 29 [0], given: 41

A palindrome is a number that reads the same forward and [#permalink] New post 30 Mar 2012, 04:00
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Question Stats:

49% (01:25) correct 51% (00:41) wrong based on 222 sessions
A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes?

A. 40
B. 45
C. 50
D. 90
E. 2500
[Reveal] Spoiler: OA
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Re: Palindrome [#permalink] New post 30 Mar 2012, 04:05
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pratikbais wrote:
A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes?

a) 40

b) 45

c) 50

d) 90

e) 2500


We want to determine how many odd 4-digit numbers like XYYX are there. Notice here that in a palindrome X and Y can be the same, for example 1111 or 3333 are also palindromes.

Since, the number must be odd then the first and the last digits (X's) can take 5 values (1, 3, 5, 7, or 9) and the two middle digits (Y's) can take 10 values (0, 1, ..., 9), so total such numbers possible is 5*10=50.

Answer: C.

Hope it's clear.
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Re: A palindrome is a number that reads the same forward and [#permalink] New post 07 Sep 2013, 09:24
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Re: A palindrome is a number that reads the same forward and [#permalink] New post 09 Sep 2014, 23:41
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Re: A palindrome is a number that reads the same forward and   [#permalink] 09 Sep 2014, 23:41
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A palindrome is a number that reads the same forward and

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