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

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

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New post Updated on: 26 Mar 2014, 14:37
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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 26 Mar 2014, 00:58.
Last edited by Bunuel on 26 Mar 2014, 14:37, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Re: Need help with some questions seen on GMAT Prep CATexam [#permalink]

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New post 26 Mar 2014, 14:37
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.

Answer: B.

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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New post 28 Dec 2015, 04:31
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.

Answer: B.

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
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Re: If M is a finite set of negative integers, is the total numb [#permalink]

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New post 28 Dec 2015, 04:33
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.

Answer: B.

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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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?
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Re: If M is a finite set of negative integers, is the total numb [#permalink]

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Re: If M is a finite set of negative integers, is the total numb   [#permalink] 30 Jan 2018, 16:14
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