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# If M is a finite set of negative integers, is the total numb

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Joined: 29 Dec 2013
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If M is a finite set of negative integers, is the total numb  [#permalink]

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Updated on: 26 Mar 2014, 13:37
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Difficulty:

15% (low)

Question Stats:

74% (01:03) correct 26% (01:11) wrong based on 194 sessions

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If M is a finite set of negative integers, is the total number of integers in M an odd number?

(1) The product of all the integers in M is odd
(2) The product of all the integers in M is negative

Originally posted by sudeeptasahu29 on 25 Mar 2014, 23:58.
Last edited by Bunuel on 26 Mar 2014, 13:37, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Joined: 02 Sep 2009
Posts: 52296
Re: Need help with some questions seen on GMAT Prep CATexam  [#permalink]

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26 Mar 2014, 13:37
sudeeptasahu29 wrote:
Data sufficiency :

1. M= finite set of negative integers, is the total number of integers in M an odd number?

a. the product of all the integers in M = Odd
b. the product of all the integers in M = Negative

Problem solving

If each term in the sum a1+a2+a3...an is either 7 or 77, and the sum of the "n" numbers = 350, what is the value of "n"?

38,39,40,41,42

If M is a finite set of negative integers, is the total number of integers in M an odd number?

(1) The product of all the integers in M is odd. For the product of two or more integers to be odd all the integers must be odd. Hence this statement only implies that all the integers in the set are odd but the number of integers in the set can be odd as well as even: odd*odd*odd=odd (three terms) and odd*odd=odd (two terms). Not sufficient.

(2) The product of all the integers in M is negative. This on the other hand implies that the number of integers in the set must be odd because if it were even the product would be positive. Sufficient.

Your other question is discussed here: if-each-term-in-the-sum-a1-a2-a3-an-is-either-7-or-93974.html

Hope this helps.

P.S. Please read carefully and follow: if-each-term-in-the-sum-a1-a2-a3-an-is-either-7-or-93974.html Pay attention to rules 1, 2, 3, 5, 7, and 8. Thank you.
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Re: If M is a finite set of negative integers, is the total numb  [#permalink]

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28 Dec 2015, 03:31
Bunuel wrote:
sudeeptasahu29 wrote:
Data sufficiency :

1. M= finite set of negative integers, is the total number of integers in M an odd number?

a. the product of all the integers in M = Odd
b. the product of all the integers in M = Negative

Problem solving

If each term in the sum a1+a2+a3...an is either 7 or 77, and the sum of the "n" numbers = 350, what is the value of "n"?

38,39,40,41,42

If M is a finite set of negative integers, is the total number of integers in M an odd number?

(1) The product of all the integers in M is odd. For the product of two or more integers to be odd all the integers must be odd. Hence this statement only implies that all the integers in the set are odd but the number of integers in the set can be odd as well as even: odd*odd*odd=odd (three terms) and odd*odd=odd (two terms). Not sufficient.

(2) The product of all the integers in M is negative. This on the other hand implies that the number of integers in the set must be odd because if it were even the product would be positive. Sufficient.

Your other question is discussed here: if-each-term-in-the-sum-a1-a2-a3-an-is-either-7-or-93974.html

Hope this helps.

P.S. Please read carefully and follow: if-each-term-in-the-sum-a1-a2-a3-an-is-either-7-or-93974.html Pay attention to rules 1, 2, 3, 5, 7, and 8. Thank you.

But if you take -, +, -, +, -, +, -
Product will be negative. in this case total number will be 7 .

Didn't get the logic. Please explain
Math Expert
Joined: 02 Sep 2009
Posts: 52296
Re: If M is a finite set of negative integers, is the total numb  [#permalink]

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28 Dec 2015, 03:33
sun01 wrote:
Bunuel wrote:
sudeeptasahu29 wrote:
Data sufficiency :

1. M= finite set of negative integers, is the total number of integers in M an odd number?

a. the product of all the integers in M = Odd
b. the product of all the integers in M = Negative

Problem solving

If each term in the sum a1+a2+a3...an is either 7 or 77, and the sum of the "n" numbers = 350, what is the value of "n"?

38,39,40,41,42

If M is a finite set of negative integers, is the total number of integers in M an odd number?

(1) The product of all the integers in M is odd. For the product of two or more integers to be odd all the integers must be odd. Hence this statement only implies that all the integers in the set are odd but the number of integers in the set can be odd as well as even: odd*odd*odd=odd (three terms) and odd*odd=odd (two terms). Not sufficient.

(2) The product of all the integers in M is negative. This on the other hand implies that the number of integers in the set must be odd because if it were even the product would be positive. Sufficient.

Your other question is discussed here: if-each-term-in-the-sum-a1-a2-a3-an-is-either-7-or-93974.html

Hope this helps.

P.S. Please read carefully and follow: if-each-term-in-the-sum-a1-a2-a3-an-is-either-7-or-93974.html Pay attention to rules 1, 2, 3, 5, 7, and 8. Thank you.

But if you take -, +, -, +, -, +, -
Product will be negative. in this case total number will be 7 .

Didn't get the logic. Please explain

Please read the question carefully: "If M is a finite set of negative integers"
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Re: If M is a finite set of negative integers, is the total numb  [#permalink]

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30 Jan 2018, 15:14
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Re: If M is a finite set of negative integers, is the total numb &nbs [#permalink] 30 Jan 2018, 15:14
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