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# A number is said to be a palindrome, if its value is unaltered even

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Manager
Status: The journey is always more beautiful than the destination
Affiliations: Computer Science
Joined: 24 Apr 2017
Posts: 50
Location: India
Concentration: Statistics, Strategy
GMAT 1: 570 Q40 V28
GPA: 3.14
A number is said to be a palindrome, if its value is unaltered even  [#permalink]

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07 Apr 2018, 02:33
1
2
00:00

Difficulty:

75% (hard)

Question Stats:

33% (01:56) correct 67% (01:34) wrong based on 38 sessions

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A number is said to be a palindrome, if its value is unaltered even when it is reversed. For example, 22,44,3003 are palindromes. Is the three digit number, a palindrome?

(1) The difference between the digits in the hundred's place and the ten's place is equal to the difference between the digits in the ten's place and the unit's place.
(2) The unit's digit of the number is 0.

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Joined: 26 Mar 2018
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Re: A number is said to be a palindrome, if its value is unaltered even  [#permalink]

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07 Apr 2018, 05:52
option a is not sufficient.
cause 353 or 357 is possible according to the first option.
option b is sufficient .
cause last digit is 0.
so if we reverse the number, the first digit will be zero. hence not palindrome.
Manager
Joined: 30 Mar 2017
Posts: 125
GMAT 1: 200 Q1 V1
A number is said to be a palindrome, if its value is unaltered even  [#permalink]

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07 Apr 2018, 08:09
Let's say we have a 3-digit number, abc, where a is the hundreds digit, b is the tens digit, c is the units digit. Question asks if a=c.

Statement 1
a-b=b-c --> a+c=2b
If b=2, a and c can both equal 2, which means number is a palindrome. Or (a,c) can equal (3,1) or (1,3), which means number is not a palindrome.
Not sufficient

Statement 2
Units digit is 0. For the number to be a palindrome, the hundreds digit has to be 0, but that is not possible since a 0 in the hundreds place would make it a 2-digit number. Thus the number is not a palindrome.
Sufficient

A number is said to be a palindrome, if its value is unaltered even   [#permalink] 07 Apr 2018, 08:09
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