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If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 00:42
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Re: If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 03:55
Statement 1: we can have (x, y) as (1, 4) or (4, 9)... so not sufficient Statement 2: x can be 1, 2, 3 or 4. Combining statement 1 &2 We can have (x,y) as (1,4) or (4,1) hence the value of x can be 1 or 4; the unique value of x cannot be determined. Answer is E
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Re: If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 04:55
Bunuel wrote: If x and y are positive integers, what is the value of x ?
(1) x, y, and xy are distinct perfect squares less than 100. (2) x < 5 Question : WHat is the value of x?STatement 1: x, y, and xy are distinct perfect squares less than 100Case 1: x = 4, y = 9, xy = 36 Case 2: x = 9, y = 4, xy = 36 Multiple values of x hence, NOT SUFFICIENT STatement 2: x<5No information about y and xy and hence x may be 1 or 2 or 3 or 4 etc NOT SUFFICIENT Combining the two statementsx, y, and xy are distinct perfect squares and x <5 less than 5 theer are only two perfect squares 1 and 4 but x can NOT be 1 because x*y will be equal to y which is unacceptable because given that x, y and xy are distinct hence x = 4SUFFICIENT Answer: Option C
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If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 04:56
gmatbusters wrote: Statement 1: we can have (x, y) as (1, 4) or (4, 9)... so not sufficient Statement 2: x can be 1, 2, 3 or 4. Combining statement 1 &2 We can have (x,y) as (1,4) or (4,1) hence the value of x can be 1 or 4; the unique value of x cannot be determined. Answer is E None of x and y can be equal to 1 because if anyone of them is 1 then x, y and xy will not remain DISTINCT
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Re: If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 05:51
can x=4 y =16 and xy = 64 be a case as well along with the one mentioned above ?



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If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 06:24



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Re: If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 06:49
thanks for pointing out my mistake... GMATinsight wrote: gmatbusters wrote: Statement 1: we can have (x, y) as (1, 4) or (4, 9)... so not sufficient Statement 2: x can be 1, 2, 3 or 4. Combining statement 1 &2 We can have (x,y) as (1,4) or (4,1) hence the value of x can be 1 or 4; the unique value of x cannot be determined. Answer is E None of x and y can be equal to 1 because if anyone of them is 1 then x, y and xy will not remain DISTINCT
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Re: If x and y are positive integers, what is the value of x ?
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17 Dec 2017, 11:03
Bunuel wrote: If x and y are positive integers, what is the value of x ?
(1) x, y, and xy are distinct perfect squares less than 100. (2) x < 5 Positive integers are numbers greater than 0 {1,2,3,4,5...} (1) x, y, and xy are distinct perfect squares less than 100. x = 4 (2*2), y = 9 (3*3) and xy = 9*4 = 36 (6*6); or, x = 9 (3*3), y = 49 (7*7) and xy = 9*49 = 196 (14*14). They are all distinct perfect squares and there is more than one value for x, so insufficient. (2) x < 5. So x can be {1,2,3 or 4}, insufficient. (3) Combining both informations we can only have one value for x < 5 that is a perfect square: \(x=4\), sufficient. (C) is the answer.



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Re: If x and y are positive integers, what is the value of x ?
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15 Jun 2018, 08:41
chirkut1488 wrote: can x=4 y =16 and xy = 64 be a case as well along with the one mentioned above ? Since X<5 then x has to be 4 hence the answer is C
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If x and y are positive integers, what is the value of x ?
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06 Jul 2018, 22:21
TippingPoint93 wrote: If x and y are positive integers, what is the value of x? (1) x, y, and xy are distinct perfect squares less than 100. (2) x<5 Statement 1: as \(x\), \(y\) & \(xy\) are distinct perfect squares so \(x\) or \(y\) cannot be equal to \(1\) because in that case \(xy\) will be equal to either \(x\) or \(y\). Some of the possible \(x\) & \(y\) combinations are \((4,9)\) & \((9,4)\). There are multiple values of \(x\). hence InsufficientStatement 2: \(x\) could be \(1\) or \(4\). InsufficientCombining 1 & 2: Only possible value for \(x=4\). SufficientOption C




If x and y are positive integers, what is the value of x ? &nbs
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