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Nowhere does S1 say that \(x\) is an INTEGER. If \(x\) is \(\frac{3}{2}\), the expression from the question stem might look like this: \(\frac{7^7}{7^x} = \frac{7^7}{7^{\frac{3}{2}}} = \frac{7^7}{\sqrt{7^3}}\)

Obviously, this is not an integer.

Hope this helps.

kotofei4 wrote:

That's what it says: Statement (1) by itself is insufficient. S1 says that can be between 0 and 7, so it can be an integer or any fraction.

Statement (1) by itself is sufficient. S2 implies that is one of (-1, 0, 1). .

The correct answer is B.

Anyway, it is probably just a bug. I wanted to make sure that I am not the only person who thinks that the indicated answer is wrong.

Statement 1 Insufficient because: When x = 2, The result is integer When x = 2.1, the result is non-integer

Statement 2 is sufficient because: The only values that satisfy the given condition are: { -1, 0, 1}. All these 3 inputs for x give the Integer result.

Hence, B

Cheers! Ravi _________________

Cheers! Ravi

If you like my post, consider giving me some KUDOS !!!

Nowhere does S1 say that \(x\) is an INTEGER. If \(x\) is \(\frac{3}{2}\), the expression from the question stem might look like this: \(\frac{7^7}{7^x} = \frac{7^7}{7^{\frac{3}{2}}} = \frac{7^7}{\sqrt{7^3}}\)

Obviously, this is not an integer.

Hope this helps.

kotofei4 wrote:

That's what it says: Statement (1) by itself is insufficient. S1 says that can be between 0 and 7, so it can be an integer or any fraction.

Statement (1) by itself is sufficient. S2 implies that is one of (-1, 0, 1). .

The correct answer is B.

Anyway, it is probably just a bug. I wanted to make sure that I am not the only person who thinks that the indicated answer is wrong.

Thanks

Dang !!!! I ALWAYS miss out on fractions ... Thanks so much dzyubam. +1 _________________

In the land of the night, the chariot of the sun is drawn by the grateful dead

IMO B. S1 if x= 3 then answer is an integer if 3/2 then answer is not an integer. hence insufficient s2 x can be 1 0 or -1 hence sufficient _________________

This is a wonderfully written question and put in to your head - always check the question to make sure whether the value is integer /fraction _________________

Nice explanation..dzyubam... I think whenever answering the questions relating to integers (number systems, in general), and where variables can assume a range of values, I try to imagine the diagram of a number line, with 0, +ve and -ve numbers...tht helps me tide over these questions.

the indicated answer is B while I was sure it was D.

I don't understand how 1 is not sufficient - IMHO it must be an integer.

Thanks.

we have \(\frac{7^7}{7^x}\) or 7^(7-x) lets start- stmt1-\(0 \le x \le 7\) -not suff, since we do not know whether x is integer or not. x could be 0 or 1/2 etc

stmt 2- \(|x|=x^2\) it means that x could be -1,0,1 . applying any of these numbers we get an integer. so, stmt 2 is suff _________________

Happy are those who dream dreams and are ready to pay the price to make them come true

Great question to highlight the trap that GMAT sets when working with integers and fractions. I too have fallen into it more than once and now always read the question carefully for words like "Integer", "Positive Integer" etc.

If none of these words are mentioned, I always assume that all numbers are valid. Here with the integer in the question, one can easily be thrown off assuming that x is also an integer, when clearly, it doesn't have to be.

For every data sufficiency question, Always apply the FOIN checks Can the variable in question assume any of the following types of values :

Fraction 0Zero Integer or Irrational Negative _________________

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Nice question. I eliminated A and D due to the possibility that X could be a fraction. However, I did something weird and didn't realize that |x| had to be -1, 0, 1. I selected C.

Statement 1 is a kind of common trap. It does not state that x must be integer. Our minds automatically goes for integers and the trap got us badly! If x does not be an integer the answer would be a non-integer. So A and D are out.