Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46090

What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
25 Oct 2015, 09:18
Question Stats:
67% (00:48) correct 33% (01:13) wrong based on 1078 sessions
HideShow timer Statistics



Manager
Joined: 11 Sep 2013
Posts: 110

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
25 Oct 2015, 09:39
Bunuel wrote: What is the sum of a certain pair of consecutive odd integers?
(1) At least one of the integers is negative. (2) At least one of the integers is positive.
Kudos for a correct solution. Two consecutive odd integers: a, a+2 The sum is 2a+2, a is the odd interger (1) At least one of the integers is negative. a can be 1, 3, 5, etc Insufficient (2) At least one of the integers is positive a can be 1, 1, 3, .... insufficient 1+2 => a=1 => sufficient Ans: C



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2010
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
25 Oct 2015, 10:50
1. Atleast one of the integers is negative If the numbers are 1 and 1 ,then their sum is zero But the numbers can also be 3 ,1 or 5 ,3 .. Insufficient 2.At least one of the integers is positive. If the numbers are 1 and 1 ,then their sum is zero The numbers can be 1,3 ; 3,5 ; 1 , 1 ... Insufficient Combining , The only values can be 1 and 1 . Sum is 1 + 1=0 Sufficient Answer C
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful



Manager
Joined: 22 Feb 2015
Posts: 56
Location: United States
Concentration: Finance, Operations
GMAT Date: 04012015
GPA: 3.98

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
26 Oct 2015, 05:27
What is the sum of a certain pair of consecutive odd integers? (1) At least one of the integers is negative. (2) At least one of the integers is positive. Sol. Let consecutive odd integers be 2x1 and 2x+1 2x1+2x+1=? or 4x = ? 1) let x=2 so 2x1 = 5 and 2x+1 = 3 sum is 8 let x =0 so 1 and 1 sum is 0 so not sufficient 2) let x = 2 so 2x1 = 3 and 2x+1 = 5 sum = 8 let x = 1 so 2x1 = 1 and 2x +1 = 3 sum = 4 so not sufficient 1) + 2) one is +ve and one is ve when x= 0 then only it is sufficient so sum is 0 C is the correct answer
_________________
Click +1 KUDOS , You can make me happy with just one click! Thanks



Intern
Joined: 02 Jan 2014
Posts: 39

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
26 Oct 2015, 05:49
IMO E.
(1) At least one of the integers is negative. NS
We know at least one of the integers is , means it can be 1, 1, or ..... or 3,1 ,1
(2) At least one of the integers is positive. 5,3,1,1 or 5,3,1,1, or we do not have the exact number of integers. NS



Current Student
Joined: 10 Aug 2015
Posts: 11
Location: United States
Concentration: Marketing, Strategy
GPA: 2.98
WE: Marketing (Other)

What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
26 Oct 2015, 09:47
What is the sum of a certain pair of consecutive odd integers?
(1) At least one of the integers is negative. (2) At least one of the integers is positive.
In my opinion, E. Please correct me if I am wrong.
1) At least one of the integers is negative. 1, 3, 5, etc. We cannot find the sum. Not Sufficient. 2) At least one of the integers is positive. 3, 1, 1, etc. We cannot find the sum. Not Sufficient. 1 & 2) We know that at least one has to be positive and at least one has to be negative. So at a minimum we have 1 and 1 with the sum of 0. But, we can also have 1, 1, and 3 with the sum of 3. This also, satisfies that at least one is odd integer is negative and at least one odd integer is positive. 0 does not equal 3, Not Sufficient. Without knowing how many positive odd integers and how many negative odd integers, we can't find the solution.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8100
Location: Pune, India

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
27 Oct 2015, 01:45
JTygielski wrote: What is the sum of a certain pair of consecutive odd integers?
(1) At least one of the integers is negative. (2) At least one of the integers is positive.
In my opinion, E. Please correct me if I am wrong.
1) At least one of the integers is negative. 1, 3, 5, etc. We cannot find the sum. Not Sufficient. 2) At least one of the integers is positive. 3, 1, 1, etc. We cannot find the sum. Not Sufficient. 1 & 2) We know that at least one has to be positive and at least one has to be negative. So at a minimum we have 1 and 1 with the sum of 0. But, we can also have 1, 1, and 3 with the sum of 3. This also, satisfies that at least one is odd integer is negative and at least one odd integer is positive. 0 does not equal 3, Not Sufficient. Without knowing how many positive odd integers and how many negative odd integers, we can't find the solution. We are talking about a pair of numbers. This means there are only 2 numbers. One of them is positive and the other negative. Plus, they need to be consecutive odd numbers so they must be 1 and 1 only. Their sum will be 0.
_________________
Karishma Veritas Prep  GMAT Instructor My Blog
Get started with Veritas Prep GMAT On Demand for $199
Veritas Prep Reviews



BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2642
GRE 1: 323 Q169 V154

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
03 Dec 2016, 18:37
Here is my solution > As x and y are both consecutive odd > y =x+2 and x is odd
We need the sum x+y
Statement 1 Atleast one of them is negative Test cases > 101,99 or 3,1 Hence Insufficient Statement 2 Atleast one of them is positive Test cases > 3,5 11,13 Hence insufficient Combing the Two statements Atleast one is negative and atleast one is positive So one of them must be 1 and the other must be 1 Since (1,1) is the only pair that will satisfy the conditions Hence x+y must be Zero Hence C
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



CEO
Joined: 12 Sep 2015
Posts: 2557
Location: Canada

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
03 Aug 2017, 13:27
Bunuel wrote: What is the sum of a certain pair of consecutive odd integers?
(1) At least one of the integers is negative. (2) At least one of the integers is positive.
Kudos for a correct solution. Target question: What is the sum of a certain pair of consecutive odd integers? ASIDE: Some examples of pairs of consecutive ODD integers include 7 & 5, 13 & 11, 21 & 23, 1 & 1 etc. Statement 1: At least one of the integers is negative. So, one of the odd integers could be negative, or both of the odd integers could be negative. There are several pairs of integers that meet this condition. Here are two: Case a: the numbers are 3 and 1 in which case the sum is 4Case b: the numbers are 1 and 1 in which case the sum is 0Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: At least one of the integers is positive. So, one of the odd integers could be positive, or both of the odd integers could be positive. There are several pairs of integers that meet this condition. Here are two: Case a: the numbers are 5 and 7 in which case the sum is 12Case b: the numbers are 1 and 1 in which case the sum is 0Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined: In order to satisfy the conditions in statements 1 and 2, it MUST be the case that one of the odd integers is negative, and the other integer is positive. The only way that this can happen is when the two integers are 1 & 1 So, the sum of the two integers must be 0Since we can now answer the target question with certainty, the combined statements are SUFFICIENT Answer: Cheers, Brent
_________________
Brent Hanneson – Founder of gmatprepnow.com



Math Expert
Joined: 02 Sep 2009
Posts: 46090

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
14 Aug 2017, 09:43
Bunuel wrote: What is the sum of a certain pair of consecutive odd integers?
(1) At least one of the integers is negative. (2) At least one of the integers is positive.
Kudos for a correct solution. What is the sum of a certain pair of consecutive odd integers?(1) At least one of the integers is negative > infinite pairs are possible: ... (3, 1); (17, 15); ... (1, 1); ... Not sufficient. (2) At least one of the integers is positive > infinite pairs are possible: ... (3, 5); (19, 21); ... (1, 1); ... Not sufficient. (1)+(2) One odd integer must be positive and another negative. As they are consecutive odd integers, there is only one pair possible (1, 1) > 1+1=0. Sufficient. Answer: C.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2738
Location: United States (CA)

Re: What is the sum of a certain pair of consecutive odd integers? [#permalink]
Show Tags
24 Aug 2017, 13:35
Bunuel wrote: What is the sum of a certain pair of consecutive odd integers?
(1) At least one of the integers is negative. (2) At least one of the integers is positive.
Kudos for a correct solution. We must determine the sum of a pair of consecutive odd integers. Statement One Alone: At least one of the integers is negative. Using the information in statement one, we do not have enough information to answer the question. The two consecutive odd integers could be 1 and 1, with a sum of 0, or they could be 3 and 1, with a sum of 4. Statement one alone is not sufficient to answer the question. Statement Two Alone: At least one of the integers is positive. Using the information in statement two, we do not have enough information to answer the question. The two consecutive odd integers could be 1 and 1, with a sum of 0, or they could be 1 and 3, with a sum of 4. Statement two alone is not sufficient to answer the question. Statements One and Two Together: Using the information from statements one and two, we know that at least one of the integers is negative and at least one of the integers is positive. The only pair of consecutive odd integers that includes one negative integer and one positive integer is 1 and 1, with a sum of 0. This is sufficient to answer the question. Answer: C
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: What is the sum of a certain pair of consecutive odd integers?
[#permalink]
24 Aug 2017, 13:35






