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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.
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 _________________
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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.
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 !!!
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 _________________
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I am still on all gmat forums. msg me if you want to ask me smth
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.
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 _________________
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.