Author 
Message 
TAGS:

Hide Tags

Current Student
Status: Persevere
Joined: 09 Jan 2016
Posts: 114
Location: Hong Kong
GPA: 3.52

If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
22 May 2016, 23:07
Question Stats:
67% (01:40) correct 33% (01:32) wrong based on 876 sessions
HideShow timer Statistics
If the set \(S\) consists of five consecutive positive integers, what is the sum of these five integers? (1) The integer 11 is in \(S\), but 10 is not in \(S\). (2) The sum of the even integers in \(S\) is 26
Official Answer and Stats are available only to registered users. Register/ Login.




Director
Joined: 04 Jun 2016
Posts: 547

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
16 Jul 2016, 00:03
nalinnair wrote: If the set \(S\) consists of five consecutive positive integers, what is the sum of these five integers?
(1) The integer 11 is in \(S\), but 10 is not in \(S\). (2) The sum of the even integers in \(S\) is 26 (1) The integer 11 is in \(S\), but 10 is not in \(S\). Since number are consecutive, it there cannot be any skipping among the number. If 11 is there, then the series should start with 11 s={11,12,13,14,15}; 12 and 14 are even SUFFICIENT (2) The sum of the even integers in \(S\) is 26 Now there are total of 5 integers. there are two possibilities OEOEO OR EOEOE OEOEO means two consecutive even ; sum of these is 26 ==>E+(E+2)=26 ==>E=12, second even = 14 EOEOE means there are three consective even numbers E+(E+2)+(E+4)=26 ==>3E=20 ==>E=20/3 NOT ACCEPTABLE because its not an integer value. SO in any case both cases gives unique values ANSWER IS D
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE : 17th SEPTEMBER 2016. .. 16 March 2017  I am back but for all purposes please consider me semiretired.




SVP
Joined: 06 Nov 2014
Posts: 1870

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
23 May 2016, 00:09
nalinnair wrote: If the set \(S\) consists of five consecutive positive integers, what is the sum of these five integers?
(1) The integer 11 is in \(S\), but 10 is not in \(S\). (2) The sum of the even integers in \(S\) is 26 Statement 1: The integer 11 is in S, but 10 is not in S This means the integers start from 11 The integers will be 11, 12, 13, 14, 15 We can find out the sum. SUFFICIENT NOTE: We do not need to find out the actual sum. Statement 2: The sum of the even integers in S is 26 The only possible series is 11, 12, 13, 14, 15 We can find out the sum SUFFICIENT Correct Option: D



Intern
Joined: 23 Sep 2016
Posts: 9

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
13 Nov 2016, 23:05
Sorry to bring this one back. By consecutive, do we just assume they mean x, x+1, x+2 or anything that has a pattern? ie. x+2, x+5, x+8...?



Ask GMAT Experts Forum Moderator
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 1045
Location: India
GPA: 3.64

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
14 Nov 2016, 00:08
Smileyface123 wrote: Sorry to bring this one back. By consecutive, do we just assume they mean x, x+1, x+2 or anything that has a pattern? ie. x+2, x+5, x+8...? Since the question states 5 consecutive positive numbers, it means x, x+1, x+2.... Else, it would have been indicated about the pattern. Hope it helps. If u liked my post, press kudos!



Intern
Status: GMAT_BOOOOOOM.............. Failure is not an Option
Joined: 22 Jul 2013
Posts: 11
Location: India
Concentration: Strategy, General Management
GPA: 3.5
WE: Information Technology (Consulting)

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
24 Nov 2016, 03:28
Statement 1 : The integer 11 is in S, but 10 is not in S = It means it has to start from 11. Hence the count would start from 11,12,13,14,15 = Sufficient
Statement 2 : The sum of the even integers in SS is 26 = In this case only one set can be formed . 11,12,13,14,15 and in this sum of even numbers are 26 hence Sufficient.
Answer : D



Manager
Joined: 14 Jan 2017
Posts: 120
Location: India

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
20 Sep 2018, 06:10
Smileyface123 wrote: Sorry to bring this one back. By consecutive, do we just assume they mean x, x+1, x+2 or anything that has a pattern? ie. x+2, x+5, x+8...? Hello dear Smileyface123I hope you face always matches with your username! By consecutive integers the question will always mean a series of numbers, for example (1,2,3,4,5,6,....) or (10,11,12,13,14,...) or it can be any series with a common difference ( CD ) of 1. So yes, they actually mean x, x+1, x+2, x+3 and so on. On the other hand, x+2, x+5, x+8, x+11...and so on would be considered an evenly spaced set, which you can see has a common difference of 3 here. Other examples of evenly spaced set : 1. x, x+10, x+20, x+30 and so on. CD = 10 2. 3,6,9,12,15..and so on. CD = 3 (series is a multiple of 3) 3. xy, xy +15, xy + 30, xy + 45...and so on. CD = 15 P.S  Set of consecutive numbers is always an evenly spaced set, but not vice versa. I hope this helps.



Director
Joined: 19 Oct 2013
Posts: 511
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
25 Oct 2018, 13:57
nalinnair wrote: If the set \(S\) consists of five consecutive positive integers, what is the sum of these five integers?
(1) The integer 11 is in \(S\), but 10 is not in \(S\). (2) The sum of the even integers in \(S\) is 26 Statement 1) provides us that 11 is the smallest value so it is sufficient. From it we can also extend that 11, 12, 13, 14, 15 are the values. Now statement 2) It tells us that the sum of even integers is 26. which is basically 12 + 14 = 26. Solving the first statement gives us some insight for the second statement. If we try even numbers such as 2,3,4,5,6 Sum of even = 12 if we try 4,5,6,7,8 Sum of even = 18 If we try 6,7,8,9,10 Sum of even = 24 This would give us some sense that it will not happen unless we have only two even numbers. Answer choice D



Intern
Status: Active
Affiliations: NA
Joined: 27 Feb 2019
Posts: 25
Location: India
GPA: 3.8
WE: Business Development (Manufacturing)

Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
Show Tags
03 Aug 2019, 06:46
If the set \(S\) consists of five consecutive positive integers, what is the sum of these five integers?
(1) The integer 11 is in \(S\), but 10 is not in \(S\). (2) The sum of the even integers in \(S\) is 26[/quote]
Ans Let the nos be : a2d, ad, a, a+d, a+2d.
1. it means 1st no is 11 so other nos will be 12, 13, 14, 15. SUM DONE. 2. Two case EOEOE or OEOEO. EOEOE = a2d + a + a+2d = 26 > 3a = 26 (fraction  not possible as only integers are permitted) OEOEO = ad +a+d = 26 >2a =26 ..... a=13. Other nos will be 11, 12, 14, 15. SUM DONE.
Hope it helps!




Re: If the set S consists of five consecutive positive integers, what is..
[#permalink]
03 Aug 2019, 06:46






