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

Question

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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nick1816 · Answer

For a 3-digit number to be a palindrome, digits in the hundred's place must be same as digits in the unit's place

Statement 1-

246 is not a palindrome, while 646 is.

Insufficient

Statement 2- The unit's digit of the number is 0.

The hundred's digit of a 3 digit number can never be 0.

Sufficient

gvij2017 · Answer

Three digit number 100a+10b+c where a, b and c are three digits of number N.

Statement 1 
Firstly, when statement quote difference, consider absolute values. 
|a-b| = |b-c|

For example: 121, st-1 is sufficient. 
for 876 st-1 is not sufficient.

Statement 2
Unit digit is 0
then for no three digit a can be 0. it will become 2 digit no. So sufficient. 
B is correct in my opinion.

ankaua · Answer

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?

Let's re-state the question: abc = palindrome? or a=c?

The statement says that a-b = b - c > a+c = 2b 
We can have a number of options that satisfy the equation: 123 (not a palindrome) or 212 (palindrome). As we have two different answers, statement A is unsufficient.

The statement says that c = 0. In order to have a palindrome, we will need to have 0b0, which is impossible as question stem has already stated that abc - is  three -digit number. 
So, we definitely know that abc is not a palindrome. Sufficient.

B is the answer.

freedom128 · Answer

(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.

Example of numbers that match the above informations is:
757 (palindrome) 
753 (not a palindrome) 
NOT SUFFICIENT

(2) The unit's digit of the number is 0.
No way the hundred's digit of the 3-digit number is 0. Definitely not a palindrome.
SUFFICIENT.

Final Answer is (B)

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minustark · Answer

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. > Lets take, 531, here diff. between digits in the ten's place and unit's place is 2 and so is the difference between digits in the hundred's place and ten's place, 2. Again 303 satisfies the given condition, which is a palindrome. Not sufficient.

(2) The unit's digit of the number is 0. > To be palindrome the hundred's digit of the number also has to be 0, which will make it two digit. Clearly, the number is not a palindrome. sufficient.

B is the answer.

kiendt · Answer

If unit digit of a 3-digit number is 0, that number can't be reversed.

sanjitscorps18 · Answer

(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.
Examples could be.
434 - Yes
432 - No
Insufficient

(2) The unit's digit of the number is 0.
Digit 0 cannot take the Hundreds place hence this statement is sufficient.
Sufficient

Option B

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

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GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards