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X and Y are sets of positive integers. Is the greatest integer in X gr

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X and Y are sets of positive integers. Is the greatest integer in X gr  [#permalink]

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New post 09 Feb 2017, 11:40
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A
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E

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84% (01:00) correct 16% (00:47) wrong based on 67 sessions

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X and Y are sets of positive integers. Is the greatest integer in X greater than the greatest integer in Y ?
(1) X is a set of 5 consecutive odd integers, each less than 20.
(2) Y is a set of 3 consecutive even integers, each less than 15.

Please assist with above problem.

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Anaira Mitch

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Re: X and Y are sets of positive integers. Is the greatest integer in X gr  [#permalink]

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New post 09 Feb 2017, 12:26
1
anairamitch1804 wrote:
X and Y are sets of positive integers. Is the greatest integer in X greater than the greatest integer in Y ?
(1) X is a set of 5 consecutive odd integers, each less than 20.
(2) Y is a set of 3 consecutive even integers, each less than 15.

Please assist with above problem.



Each statement is giving saperate information about sets X & Y
thus alone they are insuff

Combining we can choose any set
Case 1)
x= {1,3,5,7,9}
Y= { 2,4,6}
thus we have a YES to the question asked ie greatest integer in X greater than the greatest integer in Y
case 2:
x= {1,3,5,7,9}
Y= {10,12,14}

thus we have a NO to the question asked ie greatest integer in X is not greater than the greatest integer in Y

so ans is E
Director
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Re: X and Y are sets of positive integers. Is the greatest integer in X gr  [#permalink]

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New post 09 Feb 2017, 18:56
rohit8865 wrote:
anairamitch1804 wrote:
X and Y are sets of positive integers. Is the greatest integer in X greater than the greatest integer in Y ?
(1) X is a set of 5 consecutive odd integers, each less than 20.
(2) Y is a set of 3 consecutive even integers, each less than 15.

Please assist with above problem.



Each statement is giving saperate information about sets X & Y
thus alone they are insuff

Combining we can choose any set
Case 1)
x= {1,3,5,7,9}
Y= { 2,4,6}
thus we have a YES to the question asked ie greatest integer in X greater than the greatest integer in Y
case 2:
x= {1,3,5,7,9}
Y= {10,12,14}

thus we have a NO to the question asked ie greatest integer in X is not greater than the greatest integer in Y

so ans is E


Thanks for the solution it was helpful.
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Anaira Mitch

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Re: X and Y are sets of positive integers. Is the greatest integer in X gr  [#permalink]

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New post 12 Dec 2017, 10:31
anairamitch1804 wrote:
X and Y are sets of positive integers. Is the greatest integer in X greater than the greatest integer in Y ?
(1) X is a set of 5 consecutive odd integers, each less than 20.
(2) Y is a set of 3 consecutive even integers, each less than 15.


We are given that X and Y are sets of positive integers, and we need to determine whether the greatest integer in X is greater than the greatest integer in Y.

Statement One Alone:

X is a set of 5 consecutive odd integers, each less than 20.

Since we don’t know anything about the integers in Y, statement one alone is not sufficient.

Statement Two Alone:

Y is a set of 3 consecutive even integers, each less than 15.

Since we don’t know anything about the integers in X, statement two alone is not sufficient.

Statements One and Two Together:

Even with the two statements, we still don’t have enough information to determine whether the greatest integer in X is greater than the greatest integer in Y.

For example, if the 5 consecutive odd integers in X are 11, 13, 15, 17, and 19, and the 3 consecutive even integers in Y are 10, 12, and 14, then the greatest integer in X IS greater than the greatest integer in Y.

However, if the 5 consecutive odd integers in X are 1, 3, 5, 7, and 9, and the 3 consecutive even integers in Y are 10, 12, and 14, then the greatest integer in X IS NOT greater than the greatest integer in Y. The two statements together are still not sufficient.

Answer: E
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Re: X and Y are sets of positive integers. Is the greatest integer in X gr &nbs [#permalink] 12 Dec 2017, 10:31
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