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What is the value of X, if X and Y are two distinct integers and their

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What is the value of X, if X and Y are two distinct integers and their [#permalink]

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New post 14 Mar 2016, 08:07
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What is the value of X, if X and Y are two distinct integers and their product is 30?

(1) X is an odd integer
(2) X > Y
Spoiler: OA

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What is the value of X, if X and Y are two distinct integers and their [#permalink]

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New post 14 Mar 2016, 21:17
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Prime factorization of 30
30 = 2*3*5
Product of 30 can be obtained as
1*30 or -1* - 30
2*15 or -2* - 15
3*10 or -3* -10
5*6 or -5* - 6

(1) X is an odd integer
X can take values 1 , -1 , 3 , -3 , 5 , -5 , 15 , -15
Not sufficient
(2) X > Y
Not sufficient

Combining 1 and 2 , we get
X can take values -1 , -3 , -5 and 15

Not sufficient
Answer E
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Re: What is the value of X, if X and Y are two distinct integers and their [#permalink]

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New post 15 Mar 2016, 05:07
Bunuel wrote:
What is the value of X, if X and Y are two distinct integers and their product is 30?

(1) X is an odd integer
(2) X > Y


Given: x*y = 30 and xy are two distinct integers
Required: Value of x

Statement 1: X is an odd integer
Case 1: x = 5, y = 6
Case 2: x = -5, y = -6
Similarly there can be many more cases
Hence we cannot find the value of x
INSUFFICIENT

Statement 2: X > Y
Case 1: x = -1, y = -30
Case 2: x = -2, y = -15
Similarly there can be many more cases.
INSUFFICIENT

Combining Statement 1 and Statement 2: x = odd and x > y
Still there can be many cases:

Case 1: x = -1, y = -30
Case 2: x = -5, y = -6
INSUFFICIENT

Option E
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Re: What is the value of X, if X and Y are two distinct integers and their [#permalink]

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New post 21 Sep 2017, 09:10
Prime factorsof 30= 2*3*5
Product of 30 can be obtained as
1*30 or -1* - 30
2*15 or -2* - 15
3*10 or -3* -10
5*6 or -5* - 6

(1) X is an odd integer
X can take values 1 , -1 , 3 , -3 , 5 , -5 , 15 , -15
Hence, Not sufficient

(2) X > Y
Hence, Not sufficient

Combining we get
X can take values -1 , -3 , -5, and 15

Not sufficient

Answer E
Re: What is the value of X, if X and Y are two distinct integers and their   [#permalink] 21 Sep 2017, 09:10
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