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Concentration: International Business, General Management

GPA: 3.64

WE: Business Development (Energy and Utilities)

Re: If x and y are positive integers, what is the value of x ? [#permalink]

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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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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 100

Case 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<5 No information about y and xy and hence x may be 1 or 2 or 3 or 4 etc NOT SUFFICIENT

Combining the two statements x, 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 = 4 SUFFICIENT

Answer: Option C
_________________

Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html

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 _________________

Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html

Concentration: International Business, General Management

GPA: 3.64

WE: Business Development (Energy and Utilities)

Re: If x and y are positive integers, what is the value of x ? [#permalink]

Show Tags

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

_________________

If you like my post, encourage me by providing Kudos... Happy Learning...