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OG 12 | Word Translations Problems

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OG 12 | Word Translations Problems

by [email protected] » Sat Oct 06, 2012 12:29 pm
What is the value of the two-digit integer x ?

(1) The sum of the two digits is 3.
(2) x is divisible by 3.

From statement 1 since it is given that x+y = 3
hence, the no. = 3(x+1)......(eq.a)if x= tens digit and y= ones digit
also. when x+y = 3

then for a 2 digit number the only option that we have is 12 since x max value can be 3 when y=0 and 3*4= 12 a 2 digit number. then why is statement a not suff.

Please clarify???
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by das.ashmita » Sat Oct 06, 2012 1:15 pm
Hi Nishat

I am not very clear with your doubt.
However, I have tried my approach. Hope it helps you.

The 2 digit no x can be represented as 10a+b where a is the ten's digit and b is the unit's digit.

From 1: a+b = 3
The possible 2 digit no could be 12, 21, 30
Therefore, Not suff

From statement 2: x is divisible by 3
The possible 2 digit no could be 12, 15, 18, 21, 24, 27,....99
Therefore, Not suff

Combining the 2 statements, the possible nos are
12, 21, 30

Hence the Ans is E
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by Brent@GMATPrepNow » Sun Oct 07, 2012 8:30 am
[email protected] wrote:What is the value of the two-digit integer x ?

(1) The sum of the two digits is 3.
(2) x is divisible by 3.
Important: There's a nice divisibility rule that says, "If the number K is such that sum of its digits is divisible by 3, then K is divisible by 3"

Examples:
- We know that 402 is divisible by 3 because 4+0+2=6, and 6 is divisible by 3.
- We know that 13581 is divisible by 3 because 1+3+5+8+1=18, and 18 is divisible by 3.

Statement 1 tells us that the sum of the two digits is 3.
So, we can see that x could equal 12, 21 or 30, so statement 1 is NOT SUFFICIENT

Important: Before we even look at statement 2, we already know that, since the sum of the two digits is 3, x must be divisible by 3. So, when we then look at statement 2, we can see that it does not provide any additional information beyond what statement 1 has already provided.

So, if statement 1 is not sufficient, it must be the case that statement 2 is also not sufficient.

More importantly, since statement 2 adds no additional information, it must be the case that the two statements combined are not sufficient. So, the answer must be E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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