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If the number x is obtained by reversing the order of the digits in th

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Bunuel
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If the number x is obtained by reversing the order of the digits in th [#permalink] New post   02 Nov 2016, 02:53
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If the number x is obtained by reversing the order of the digits in the positive 3-digit integer y, is x > y?

(1) The tens digit of y is 3.
(2) The rightmost digit of x is 1 and the rightmost digit of y is 9.
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B
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Re: If the number x is obtained by reversing the order of the digits in th [#permalink] New post   02 Nov 2016, 03:16
Bunuel wrote:
If the number x is obtained by reversing the order of the digits in the positive 3-digit integer y, is x > y?

(1) The tens digit of y is 3.
(2) The rightmost digit of x is 1 and the rightmost digit of y is 9.


IMO B

Let y=abc (positive three digit number) then x= cba (obtained by reversing the order of the digits)
question stem is asking cba>abc? (yes/no)

From statement 1
y=a3c ( as we see from the analysis of QS the tens digit of 3-digit positive number x and y will not alter the absolute values of x and y)
we need to know a and c hence insufficient

From statement 2
y=ab9 and x=cb1 from this statement we know that a=1 and c=9
therefore we can say that y=1b9 and x=9b1
hence statement is sufficient to say x>y
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If the number x is obtained by reversing the order of the digits in th [#permalink] New post   02 Nov 2016, 18:23
Statement 2 alone is sufficient,

y = abc

=>

x = cba

x will be greater than y, if c > a

given a = 1 and c = 9. Therefore, B.
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Re: If the number x is obtained by reversing the order of the digits in th [#permalink] New post   03 Nov 2016, 01:31
Bunuel wrote:
If the number x is obtained by reversing the order of the digits in the positive 3-digit integer y, is x > y?

(1) The tens digit of y is 3.
(2) The rightmost digit of x is 1 and the rightmost digit of y is 9.


Solved in 29 seconds.

The question boils down to: if we take a 3 digit number, is its ones digit less than or greater than its hundreds digit?

(1) The tens digit of y is 3. This tells us the tens digit (middle digit), but nothing about the ones or tens digit. Insufficient.

(2) The rightmost digit of x is 1 and the rightmost digit of y is 9. This tells us that the ones digit is 9 and the hundreds digit is 1. Therefore, if we reverse the entire number, the resulting number will be greater than the original, because 9>1. Sufficient.

Answer: B
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Re: If the number x is obtained by reversing the order of the digits in th [#permalink]
03 Nov 2016, 01:31
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