Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 12 Oct 2014
Posts: 9
Location: India
Concentration: Other, Leadership
GPA: 3.2

The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Jul 2016, 01:59
Question Stats:
65% (01:30) correct 35% (01:45) wrong based on 1213 sessions
HideShow timer Statistics
The sum of 4 different odd integers is 64. What is the value of the greatest of these integers? (1) The integers are consecutive odd numbers (2) Of these integers, the greatest is 6 more than the least.
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 50058

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Jul 2016, 02:07




Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 542
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
17 Jul 2016, 05:04
AneesShaik wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers (2) Of these integers, the greatest is 6 more than the least. (1) The consecutive integers must be (152,15,15+2,15+4) so that the sum could be 64,So the greatest number is 19, Sufficient(2) The range of the integers is 6,within this range to get sum 64 the integers must be (13,15,17,19) as statement (1), SufficientCorrect Answer D
_________________
Md. Abdur Rakib
Please Press +1 Kudos,If it helps Sentence CorrectionCollection of Ron Purewal's "elliptical construction/analogies" for SC Challenges




Intern
Joined: 03 Aug 2015
Posts: 35

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Jul 2016, 02:23
Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? Bunuel : can you just help me understand why from the first statement we are taking x= x + (x + 2) + (x + 4) + (x + 6) = 64. Can't it be x + (x  2) + (x  4) + (x  6) = 64 ..won't the greatest number be different



Math Expert
Joined: 02 Sep 2009
Posts: 50058

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Jul 2016, 02:28
nikhilbansal08 wrote: Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? Bunuel : can you just help me understand why from the first statement we are taking x= x + (x + 2) + (x + 4) + (x + 6) = 64. Can't it be x + (x  2) + (x  4) + (x  6) = 64 ..won't the greatest number be different In my solution the smallest number is x and the greatest is x + 6. In your case the smallest number is x  6 and the greatest is x. In any case the answer is the same.
_________________
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



Intern
Joined: 12 Oct 2014
Posts: 9
Location: India
Concentration: Other, Leadership
GPA: 3.2

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Jul 2016, 04:49
Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? This is from OG 2017 Bunuel.



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3906
Location: United States (CA)

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
06 Dec 2016, 18:15
AneesShaik wrote: The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?
(1) The integers are consecutive odd numbers (2) Of these integers, the greatest is 6 more than the least. We are given that the sum of 4 different odd integers is 64 and need to determine the value of the greatest of these integers. Statement One Alone:The integers are consecutive odd numbers Since we know that the integers are consecutive odd integers, we can denote the integers as x, x + 2, x + 4, and x + 6 (notice that the largest integer is x + 6). Since the sum of these integers is 64, we can create the following equation and determine x: x + (x + 2) + (x + 4) + (x + 6) = 64 4x + 12 = 64 4x = 52 x = 13 Thus, the largest integer is 13 + 6 = 19. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E. Statement Two Alone:Of these integers, the greatest is 6 more than the least. Using the information in statement two, we can determine that the four integers are consecutive odd integers. Let’s further elaborate on this idea. If we take any set of four consecutive odd integers, {1, 3, 5, 7}, {9, 11, 13, 15}, or {19, 21, 23, 25}, notice that in ALL CASES the greatest integer in the set is always 6 more than the least integer. In other words, the only way to fit two odd integers between the odd integers n and n + 6 is if the two added odd integers are n + 2 and n +4, thus making them consecutive odd integers. Since we have determined that we have a set of four consecutive odd integers and that their sum is 64, we can determine the value of all the integers in the set, including the value of the greatest one, in the same way we did in statement one. Thus, statement two is also sufficient to answer the question. Answer: D
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Intern
Joined: 30 Dec 2015
Posts: 1

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
12 Oct 2017, 06:49
nikhilbansal08 wrote: Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? Bunuel : can you just help me understand why from the first statement we are taking x= x + (x + 2) + (x + 4) + (x + 6) = 64. Can't it be x + (x  2) + (x  4) + (x  6) = 64 ..won't the greatest number be different Bunuel, I think nikhilbansal08 is right in this case.The question asks for :"What is the value of the greatest of these integers? " now if we consider, clue no : 1,the we get (2n+1) + (2n+3)+(2n+5)+(2n+7)=64 8(n+2)=64 n=6 so numbers are 13,15,17,19 greatest value is 19 in this case. but if we consider (2n+3)+(2n+5)+(2n+7)+(2n+9)=64 8(n+3)=64 n=5 numbers are 11,13,15,17 so the greatest value is 17 clearly,depending on the values of n the greatest value varies. 1 alone is insufficient. clue 2 says ,greatest is 6 more the least,which means they are consecutive odd,but does not say any thing about greats value. 2 alone insufficient if we combine clue 1+2 ,2 is redundant as from 1 we already know that they are consecutive odd. Even after combining together they do not say anything about the greatest value. I think E is the appropriate one.



Intern
Joined: 02 Feb 2016
Posts: 27
Location: United States
Schools: Kellogg '21, Booth '21, Sloan '21, CBS '21, Haas '21, Stern '21, Yale '21, Duke '21, Darden '21, McCombs '21, LBS '21, HEC Jan 2018 Intake, ISB '21
GPA: 3.5

The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
12 Oct 2017, 07:01
TYPHOON12 wrote: nikhilbansal08 wrote: Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? Bunuel : can you just help me understand why from the first statement we are taking x= x + (x + 2) + (x + 4) + (x + 6) = 64. Can't it be x + (x  2) + (x  4) + (x  6) = 64 ..won't the greatest number be different Bunuel, I think nikhilbansal08 is right in this case.The question asks for :"What is the value of the greatest of these integers? " now if we consider, clue no : 1,the we get (2n+1) + (2n+3)+(2n+5)+(2n+7)=64 8(n+2)=64 n=6 so numbers are 13,15,17,19 greatest value is 19 in this case. but if we consider (2n+3)+(2n+5)+(2n+7)+(2n+9)=64 8(n+3)=64 n=5 numbers are 11,13,15,17 so the greatest value is 17 clearly,depending on the values of n the greatest value varies. 1 alone is insufficient. clue 2 says ,greatest is 6 more the least,which means they are consecutive odd,but does not say any thing about greats value. 2 alone insufficient if we combine clue 1+2 ,2 is redundant as from 1 we already know that they are consecutive odd. Even after combining together they do not say anything about the greatest value. I think E is the appropriate one. TYPHOON12 The calculation is slightly off (by 2) in this part: Quote: (2n+3)+(2n+5)+(2n+7)+(2n+9)=64 8(n+3)=64 n=5 numbers are 11,13,15,17
so the greatest value is 17
If n = 5, then (2n+3) = 10+3 = 13 (2n+5) = 10+5 = 15 (2n+7) = 10+7 = 17 (2n+9) = 10+9 = 19 The answer will still be the same, no matter how you look at it. Similarly, as you correctly pointed out, option 2 is redundant and thus this solution is also applicable to 2.



Manager
Joined: 23 Oct 2017
Posts: 64

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
09 Dec 2017, 02:52
For statement 1: take the 4 consecutive odd integers as: 2n3, 2n1, 2n+1, 2n+3 Sum = 8n = 64 => n=8;
For statement 2: if we see the above series difference is (2n+3)  (2n3) =6, as this is the only series which can fit the requirement.
Thus D.



CEO
Joined: 12 Sep 2015
Posts: 3037
Location: Canada

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
06 Feb 2018, 12:02
AneesShaik wrote: The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?
(1) The integers are consecutive odd numbers (2) Of these integers, the greatest is 6 more than the least. Target question: What is the value of the greatest of these integers? Given: The 4 numbers are different odd integers, and their sum is 64. Statement 1: The integers are consecutive odd numbers Let x = the first odd integer So, x + 2 = the 2nd odd integer So, x + 4 = the 3rd odd integer So, x + 6 = the 4th odd integer Since we're told the sum is 64, we can write: x + (x+2) + (x+4) + (x+6) = 64 Since we COULD solve this equation for x, we COULD determine all 4 values, which means we COULD determine the value of the greatest of the 4 odd integersOf course, we're not going to waste valuable time solving the equation, since our sole goal is to determine whether the statement provides sufficient information. Since we COULD answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: Of these integers, the greatest is 6 more than the least. Notice that the 4 CONSECUTIVE integers (from statement 1) can be written as x, x+2, x+4 and x+6 Notice that the biggest number (x+6) is 6 more than the smallest number (x). Since the 4 odd integers are different, statement 2 is basically telling us that the 4 integers are CONSECUTIVE So, for the same reason we found statement 1 to be SUFFICIENT, we can also conclude that statement 2 is SUFFICIENT Answer: D Cheers, Brent
_________________
Brent Hanneson – GMATPrepNow.com
Sign up for our free Question of the Day emails



Director
Joined: 09 Mar 2016
Posts: 956

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Aug 2018, 07:51
Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? Bunuel but numbers could be 11 13, 17 and 23 as well which add up to 64



Math Expert
Joined: 02 Sep 2009
Posts: 50058

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
16 Aug 2018, 07:55
dave13 wrote: Bunuel wrote: The sum of 4 different odd integers is 64. What is the value of the greatest these integers?
(1) The integers are consecutive odd numbers > x + (x + 2) + (x + 4) + (x + 6) = 64. We can find x. Sufficient.
(2) Of these integers, the greatest is 6 more than the least > least = x and greatest = x + 6. Between x and x + 6, there are only 2 odd integers x + 2 and x + 4, so we have the same case as above. Sufficient.
Answer: D.
P.S. Which Official Guide is this question from? Bunuel but numbers could be 11 13, 17 and 23 as well which add up to 64 Those numbers do not satisfy any of the statements. (1) The integers are consecutive odd numbers. Are 11, 13, 17 and 23 consecutive odd numbers? NO. (2) Of these integers, the greatest is 6 more than the least. Is 23 (the greatest) 6 more than the least (11)? NO.
_________________
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



Intern
Joined: 09 Jul 2018
Posts: 30

The sum of 4 different odd integers is 64. What is the value of the gr
[#permalink]
Show Tags
13 Sep 2018, 02:42
The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?
(1) The integers are consecutive odd numbers. (2) Of these integers, the greatest is 6 more than the least.



CEO
Joined: 08 Jul 2010
Posts: 2576
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: The sum of 4 different odd integers is 64. What is the value of the gr
[#permalink]
Show Tags
13 Sep 2018, 02:55
ritu1009 wrote: The sum of 4 different odd integers is 64. What is the value of the greatest of these integers? (1)The integers are consecutive odd numbers. (2) Of these integers, the greatest is 6 more than the least. Question : What is the greatest of four odd integers which sum up to 64?Statement 1: The integers are consecutive odd numbers(a6)+(a4)+(a2)+(a) = 64 i.e. a = 19 SUFFICIENT STatement 2: Of these integers, the greatest is 6 more than the leastThis statement also confirms that the integers are consecutive (a6)+(a4)+(a2)+(a) = 64 i.e. a = 19 SUFFICIENT Answer: option D ritu1009 : Please post DS question in respective forum. You seem to have posted it among PS questions Bunuel : Please shift the question in the DS forum
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Math Expert
Joined: 02 Sep 2009
Posts: 50058

Re: The sum of 4 different odd integers is 64. What is the value of the
[#permalink]
Show Tags
13 Sep 2018, 02:59




Re: The sum of 4 different odd integers is 64. What is the value of the &nbs
[#permalink]
13 Sep 2018, 02:59






