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If x and y are consecutive odd integers, what is the sum of x and y?

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If x and y are consecutive odd integers, what is the sum of x and y?  [#permalink]

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Project DS Butler: Day 55: Data Sufficiency (DS109)


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Tough and Tricky questions: Number Properties.



If x and y are consecutive odd integers, what is the sum of x and y?

(1) The product of x and y is negative.
(2) One of the integers is equal to –1.



Kudos for a correct solution.

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Re: If x and y are consecutive odd integers, what is the sum of x and y?  [#permalink]

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New post 09 Dec 2014, 20:06
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Given x and y are consecutive integers i.e y = x+2

Statement 1: since the product of the 2 numbers is negative, we can say that one of them is positive and the other one is negative.
Since these numbers are consecutive, they have to be -1 and +1. Therefore, their sum should be 0. Sufficient.

Statement 2: One of the integers is equal to –1.
The other number could be -3 or +1. Therefore, the sum could be either -4 or 0. Clearly insufficient.

Hence A) should be the answer.
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Re: If x and y are consecutive odd integers, what is the sum of x and y?  [#permalink]

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New post 09 Dec 2014, 20:17
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kinghyts wrote:
Given x and y are consecutive integers i.e y = x+2

Statement 1: since the product of the 2 numbers is negative, we can say that one of them is positive and the other one is negative.
Since these numbers are consecutive, they have to be -1 and +1. Therefore, their sum should be 0. Sufficient.

Statement 2: One of the integers is equal to –1.
The other number could be -3 or +1. Therefore, the sum could be either -4 or 0. Clearly insufficient.

Hence A) should be the answer.


agree with your explanation :)
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Re: If x and y are consecutive odd integers, what is the sum of x and y?  [#permalink]

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New post 09 Dec 2014, 20:31
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If x and y are consecutive odd integers, what is the sum of x and y?

(1) The product of x and y is negative --> only possible if the pair is -1 and 1, sum is 0.....sufficient
(2) One of the integers is equal to –1 --> we can have -3 & -1 or -1 & 1, hence sum can be -4 or 0......insufficient

Ans. A)
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Re: If x and y are consecutive odd integers, what is the sum of x and y?  [#permalink]

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New post 26 Dec 2014, 09:52
1
Bunuel wrote:

Tough and Tricky questions: Number Properties.



If x and y are consecutive odd integers, what is the sum of x and y?

(1) The product of x and y is negative.
(2) One of the integers is equal to –1.



Kudos for a correct solution.


The correct answer is A.
_________________

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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If x and y are consecutive odd integers, what is the sum of x and y?  [#permalink]

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New post 30 Dec 2018, 08:56
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If x and y are consecutive odd integers, what is the sum of x and y? &nbs [#permalink] 30 Dec 2018, 08:56
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