Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58434

Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
25 Jun 2018, 05:35
Question Stats:
72% (01:26) correct 28% (01:31) wrong based on 1480 sessions
HideShow timer Statistics
Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ? A. 0 B. 4 C. 8 D. 12 E. 16 NEW question from GMAT® Official Guide 2019 (PS00087)
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
28 Jun 2018, 18:06
Bunuel wrote: Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ?
A. 0 B. 4 C. 8 D. 12 E. 16 Since set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X, it must have 8 integers each is 4 more than the ones in X and other 8 integers each is 4 less than the ones in X, unless there are overlaps in the elements obtained in each step. To verify that there are no overlaps, let the smallest element in X be x. After adding 4 to each element in the set, the smallest element obtained in this way is x + 4. If x is the smallest element in X, then x + 7 is the largest element in X (since there are 8 consecutive integers in X). Thus, the largest element obtained after subtracting 4 from each element is x + 3. In other words, there are no overlaps and Y has 8 + 8 = 16 integers, so it has 16  8 = 8 integers more than X. Alternate Solution: Let’s assume that set X contains 1, 2, 3, 4, 5, 6, 7, 8. Adding 4 to each term yields 5, 6, 7, 8, 9, 10, 11, 12. Now, we do the same thing, but instead we subtract 4 from each term of the original set; thus, we have 3, 2, 1, 0, 1, 2, 3, 4. We see that we have a total of 8 + 4 + 4 = 16 elements in set Y. This is 16  8 = 8 more elements than the number of elements in set X. Answer: C
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




eGMAT Representative
Joined: 04 Jan 2015
Posts: 3074

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
25 Jun 2018, 05:45
Solution Given:• Set X consists of eight consecutive integers • Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X To find:• How many more integers are there in set Y than in set X Approach and Working:• Let us assume the elements in Set X = {n, n+1, n+2, n+3, n+4, n+5, n+6, n+7} • Therefore, the elements in Set Y = {n+4, n+5, n+6, n+7, n+8, n+9, n+10, n+11, n4, n3, n2, n1, n, n+1, n+2, n+3} = {n4, n3, n2, n1, n, n+1, n+2, n+3, n+4, n+5, n+6, n+7, n+8, n+9, n+10, n+11} The number of more elements in set Y than in set X = 16 – 8 = 8 Hence, the correct answer is option C. Answer: CNote: The question can also be solved assuming any value in place of n
_________________



Manager
Status: Single
Joined: 02 Jan 2016
Posts: 174
Location: India
Concentration: General Management, Accounting
GPA: 4
WE: Law (Manufacturing)

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
03 Jul 2018, 08:52
Hi ScottTargetTestPrepThe question says Set X consists of eight consecutive integers and Set Y contains all i.e "8 integers + 4" to each and again all i.e "8 integers + 4" to each. So its pretty clear set Y has 8 more integers in set X ? Isn't it very clear that the answer is 8. Also, I was unable to understand what you meant by overlap.



Manager
Joined: 11 Sep 2013
Posts: 132
Concentration: Finance, Finance

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
30 Sep 2018, 20:25
X = 11, 12, 13, 14, 15, 16, 17, 18,
Subtract 4 from each= 7, 8, 9, 10, 11, 12, 13, 14
Add 4 with each = 15, 16, 17, 18, 19, 20, 21, 22
So, Y= 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
The bold numbers are in also x. So they are repeated. The new more numbers are the remaining 8.



Manager
Joined: 27 Dec 2016
Posts: 227
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
04 Nov 2018, 15:46
Bunuel wrote: Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ? A. 0 B. 4 C. 8 D. 12 E. 16 NEW question from GMAT® Official Guide 2019 (PS00087) Bunuel, For a question like this, I believe that we don't care about the repetition. A set {1,1,1,1,1} contains 5 integers. So we can easily answer C in this case. Is my understanding correct? Thanks!
_________________
There's an app for that  Steve Jobs.



Manager
Joined: 26 Feb 2017
Posts: 85
Location: India
GPA: 3.99

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
05 Nov 2018, 07:25
septwibowo wrote: Bunuel wrote: Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ? A. 0 B. 4 C. 8 D. 12 E. 16 NEW question from GMAT® Official Guide 2019 (PS00087) Bunuel, For a question like this, I believe that we don't care about the repetition. A set {1,1,1,1,1} contains 5 integers. So we can easily answer C in this case. Is my understanding correct? Thanks! Hi!! The question says set X has consecutive integers. Therefore all the integers in the set will be different integers. Posted from my mobile device



Director
Joined: 09 Mar 2018
Posts: 994
Location: India

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
15 Feb 2019, 01:29
Bunuel wrote: Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ? A. 0 B. 4 C. 8 D. 12 E. 16 NEW question from GMAT® Official Guide 2019 (PS00087) How many more is the question Set X : a b c d e f g h Set Y: consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X Total 16 168 C
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.
Quote which i can relate to. Many of life's failures happen with people who do not realize how close they were to success when they gave up.



Intern
Joined: 02 Mar 2019
Posts: 14
Location: India

Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
Show Tags
03 May 2019, 08:42
this question is pretty straight. we do not even need to add 4 or subtract 4 to get set Y. set Y will have double the integer than X. so we can just subtract set X from Set Y.




Re: Set X consists of eight consecutive integers. Set Y consists of all th
[#permalink]
03 May 2019, 08:42






