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

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

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New post 28 Aug 2017, 04:03
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  35% (medium)

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79% (01:09) correct 21% (01:23) wrong based on 32 sessions

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Kudos [?]: 132771 [0], given: 12372

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

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New post 28 Aug 2017, 04:14
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Bunuel wrote:
If x and y are positive integers and x < y, what is the value of x?

(1) The product of x and y is 17.
(2) x^2*y = xy


(1) 17 = 1* 17
x =1 and y=17
Sufficient

(2) x^2 * y = x* y
x^2 = x
x(x-1)=0
x=1 (positive integer)
Sufficient

D
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Luckisnoexcuse

Kudos [?]: 161 [1], given: 134

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

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New post 28 Aug 2017, 04:19
1. X can be 1 or 17 and Y is 17 or 1 respectively. It's not sufficient
2. X can be only 1 therefore Y is 17. It's sufficient.

Answer is B

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Director
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Kudos [?]: 161 [0], given: 134

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

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New post 28 Aug 2017, 04:23
prisukhin wrote:
1. X can be 1 or 17 and Y is 17 or 1 respectively. It's not sufficient
2. X can be only 1 therefore Y is 17. It's sufficient.

Answer is B

prisukhin

It is given that x < y in the question .
so as per first statement x can only take 1 and y=17..sufficient
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Luckisnoexcuse

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

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New post 28 Aug 2017, 04:37
I didn't notice it. You're right.

Last edited by prisukhin on 28 Aug 2017, 06:51, edited 1 time in total.

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

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New post 28 Aug 2017, 05:33
S1:xy=17; 17 being prime numbers th eonly factors 1 & 17; so being x<y x=1 -->Sufficient

S2:x^2*y=xy; xy=y;x=1; -->Sufficient

Ans:D

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

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New post 28 Aug 2017, 20:34
I know I am wrong, I thought the answer was A
For the statement 2, here is what I think

x^2 y= xy
x^2= x
x(x-1)=0
x=1 or x =0
or 0 is not a positive integer?

please advise, thank you

Kudos [?]: 3 [0], given: 454

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42264

Kudos [?]: 132771 [0], given: 12372

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

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New post 28 Aug 2017, 21:35
pclawong wrote:
I know I am wrong, I thought the answer was A
For the statement 2, here is what I think

x^2 y= xy
x^2= x
x(x-1)=0
x=1 or x =0
or 0 is not a positive integer?

please advise, thank you


ZERO:

1. 0 is an integer.

2.. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check more here: http://gmatclub.com/forum/number-proper ... 74996.html
_________________

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Kudos [?]: 132771 [0], given: 12372

Manager
Manager
avatar
B
Joined: 07 Jun 2017
Posts: 111

Kudos [?]: 3 [0], given: 454

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

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New post 28 Aug 2017, 21:38
Bunuel wrote:
pclawong wrote:
I know I am wrong, I thought the answer was A
For the statement 2, here is what I think

x^2 y= xy
x^2= x
x(x-1)=0
x=1 or x =0
or 0 is not a positive integer?

please advise, thank you


ZERO:

1. 0 is an integer.

2.. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check more here: http://gmatclub.com/forum/number-proper ... 74996.html


Dear Bunuel,
so from statement 2, x could be 0 or 1 right?
which make statement 2 insuff. ?

Kudos [?]: 3 [0], given: 454

Expert Post
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Math Expert
User avatar
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Joined: 02 Sep 2009
Posts: 42264

Kudos [?]: 132771 [1], given: 12372

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

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New post 28 Aug 2017, 21:41
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Expert's post
pclawong wrote:
Bunuel wrote:
pclawong wrote:
I know I am wrong, I thought the answer was A
For the statement 2, here is what I think

x^2 y= xy
x^2= x
x(x-1)=0
x=1 or x =0
or 0 is not a positive integer?

please advise, thank you


ZERO:

1. 0 is an integer.

2.. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check more here: http://gmatclub.com/forum/number-proper ... 74996.html


Dear Bunuel,
so from statement 2, x could be 0 or 1 right?
which make statement 2 insuff. ?


We are told that x and y are positive integers, so neither of them can be 0 because 0 is NOT a positive integer.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132771 [1], given: 12372

If x and y are positive integers and x < y, what is the value of x?   [#permalink] 28 Aug 2017, 21:41
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