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If x is a nonzero integer (40 + 24)/x is an integer?
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29 Oct 2015, 01:23
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66% (00:55) correct 34% (00:52) wrong based on 134 sessions
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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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29 Oct 2015, 09:11
Ans Should be E.
The question asks whether X is a factor of 64, i.e whether X is either of these No. 1,2, 4, 8, 16, 32, 64.( all of both parity ).
Statement 1  X is a multiple of 4. If it is 4 or 8 answer will be yes, however if X is 12 or 24 the answer will be No. Therefore Not Sufficient.
Statement 2  X is bitween 8 and 64 ( Inclusive ), Same as Statement 1, if X is 8 or 16 answer will be yes and if X is 12 or 24 the answer will be No.
Therefore Not sufficient.
Combining both statements, X is a multiple of 4 which lies between 8 & 64 ( Inclusive ). As detailed above the answer will be ambiguous.
Hence E.



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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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29 Oct 2015, 09:24
Bunuel wrote: If x is a nonzero integer (40 + 24)/x is an integer?
(1) x is a multiple of 4
(2) 8 <= x <= 64
Kudos for a correct solution. 1 st Statement : If x is a multiple of 4 then x = 4m; now if m = 1,2 then the expression is an integer but if m = 3 i.e. x = 12 then the expression is a non integer. Therefore insufficient. 2nd Statement : x can be any integer value between 8 and 64. If x = 8 then the expression is an integer if x = 9 then it is not. Therefore insufficient Combining 1 and 2 : x can be any integer value between 8 and 64 and is a multiple of 4 i.e. x = 8,12,16 ... Therefore if x = 8 then yes if x = 12 then no.. Hence insufficient. Therefore answer should be E



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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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29 Oct 2015, 09:32
Quote: If x is a nonzero integer (40 + 24)/x is an integer? (1) x is a multiple of 4 (2) 8 <= x <= 64
Kudos for a correct solution. The question stem asks for whether 64/x is an integer ? i.e. whether x is a factor of 64. Statement 1 says, x is a multiple of 4. However, NOT all multiples of 4 are factor of 64. eg. 12,40 etc. NOT Sufficient. Statement 2 says, 8 <= x <= 64. i.e. value of x is any number within this range. Some will be factor of 64 & some will not. NOT Sufficient. Combining 1 & 2 gives the same dual result as statement 1 & 2. So Option (E) wins.
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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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29 Oct 2015, 17:47
x could be 12 or 16 for either statement. NS for either. Ans E



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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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30 Oct 2015, 13:55
Bunuel wrote: If x is a nonzero integer (40 + 24)/x is an integer?
(1) x is a multiple of 4
(2) 8 <= x <= 64
Hi Bunuel, Is this prompt formatted correctly? It seems odd to ask if (40+24)/X is an integer (as opposed to just writing it as "is 64/X an integer?"); is it meant to be 40 + (24/X)? GMAT assassins aren't born, they're made, Rich
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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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31 Oct 2015, 03:30



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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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31 Oct 2015, 11:40
If x is a nonzero integer (40 + 24)/x is an integer?
(1) x is a multiple of 4 (2) 8 <= x <= 64 ____________________________
Is 64/x = Integer ? This is possible only when x divides 64 leaving no remainder.
1) x = multiple of 4 4, x = integer 68, x != integer Not Sufficient
2) x = 8,9,10,11,12.........,64 Not sufficient. Take x=8 or x=11
On combining, x = 11 (Not Suff), 8(Suff)
E it is



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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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01 Nov 2015, 00:33
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. If x is a nonzero integer (40 + 24)/x is an integer? (1) x is a multiple of 4 (2) 8 <= x <= 64 If we modify the question, we ultimately want to know whether x is a factor of 64. There is one variable (x) and we need one equation to solve for the question; there are 2 equations given from the 2 conditions, making (D) our likely answer. In condition 1, the answer is 'yes' when x=4, but 'no' when it is 12. This condition is insufficient. In condition 2, the answer is 'yes' when x=4, but 'no' when it is 12. This condition is insufficient. When looking at the conditions together, the answer is 'yes' when x=4, but 'no' when it is 12. This conditions as a whole are insufficient. For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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Re: If x is a nonzero integer (40 + 24)/x is an integer?
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28 Sep 2017, 06:19
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