Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 18 Oct 2013
Posts: 66
Location: India
Concentration: Technology, Finance
Schools: Duke '16, Johnson '16, Kelley '16, Tepper '16, Marshall '16, McDonough '16, Insead '14, HKUST '16, HSG '15, Schulich '15, Erasmus '16, IE April'15, Neeley '15
GMAT 1: 580 Q48 V21 GMAT 2: 530 Q49 V13 GMAT 3: 590 Q49 V21
WE: Information Technology (Computer Software)

If T is a list of consecutive integers in increasing order
[#permalink]
Show Tags
Updated on: 09 Jul 2014, 02:01
Question Stats:
70% (01:15) correct 30% (01:12) wrong based on 255 sessions
HideShow timer Statistics
If T is a list of consecutive integers in increasing order, what is the sum of integers in T? (1) The difference between the last integer in T and the first integer in T is 100. (2) The fourth integer in T is 6
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by vikrantgulia on 09 Jul 2014, 01:45.
Last edited by Bunuel on 09 Jul 2014, 02:01, edited 1 time in total.
Edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 64944

Re: If T is a list of consecutive integers in increasing order
[#permalink]
Show Tags
09 Jul 2014, 02:08
If T is a list of consecutive integers in increasing order, what is the sum of integers in T?(1) The difference between the last integer in T and the first integer in T is 100. This implies that there are 101 integers in the list. T could be any list of 101 consecutive integers. For example, {0, 1, 2, ..., 100} or {1, 2, 3, ..., 101}. Not sufficient. (2) The fourth integer in T is 6. This implies that the first integer is 9. We don't know how many integers are there in the list, hence cannot get the sum. Not sufficient. (1)+(2) We know that the first integer is 9 and that there are total of 101 integers in the list: T = {9, 8, 7, 6, ..., 91}. We can get the sum. Sufficient. Answer: C. Hope it's clear.
_________________




Manager
Joined: 18 Oct 2013
Posts: 66
Location: India
Concentration: Technology, Finance
Schools: Duke '16, Johnson '16, Kelley '16, Tepper '16, Marshall '16, McDonough '16, Insead '14, HKUST '16, HSG '15, Schulich '15, Erasmus '16, IE April'15, Neeley '15
GMAT 1: 580 Q48 V21 GMAT 2: 530 Q49 V13 GMAT 3: 590 Q49 V21
WE: Information Technology (Computer Software)

Re: If T is a list of consecutive integers in increasing order
[#permalink]
Show Tags
09 Jul 2014, 01:53
1) The difference between any two integer is 100.So,Let first number could be 1,0,or,1 then last number would be 99,100,or 101 and each series give different sum. Hence, Not Sufficient.
2) fourth integer is 6 .so first integer is n+3=6 i.e 9 but we don't know the number of of terms in T. that sum of 100 terms of sum of 200 terms. Not sufficient
1) and 2) together we know that first integer is 9 and difference of last integer and first integer is 100. So we definitely get a sum.Hence C is the correct answer



Intern
Joined: 06 Jul 2014
Posts: 11

Re: If T is a list of consecutive integers in increasing order
[#permalink]
Show Tags
09 Jul 2014, 23:57
Banuel you gave the solution on all thread, so a lot of thanks of you...



Intern
Joined: 13 Apr 2018
Posts: 41
Location: Zambia
Concentration: Finance, Real Estate
GPA: 2.98
WE: Analyst (Investment Banking)

Re: If T is a list of consecutive integers in increasing order
[#permalink]
Show Tags
22 May 2019, 09:27
Bunuel wrote: If T is a list of consecutive integers in increasing order, what is the sum of integers in T?
(1) The difference between the last integer in T and the first integer in T is 100. This implies that there are 101 integers in the list. T could be any list of 101 consecutive integers. For example, {0, 1, 2, ..., 100} or {1, 2, 3, ..., 101}. Not sufficient.
(2) The fourth integer in T is 6. This implies that the first integer is 9. We don't know how many integers are there in the list, hence cannot get the sum. Not sufficient.
(1)+(2) We know that the first integer is 9 and that there are total of 101 integers in the list: T = {9, 8, 7, 6, ..., 91}. We can get the sum. Sufficient.
Answer: C.
Hope it's clear. Hi Burnel, why is the first integer 9?



Manager
Joined: 18 Jan 2017
Posts: 123

Re: If T is a list of consecutive integers in increasing order
[#permalink]
Show Tags
05 Sep 2019, 08:48
GloryBoy92 wrote: Bunuel wrote: If T is a list of consecutive integers in increasing order, what is the sum of integers in T?
(1) The difference between the last integer in T and the first integer in T is 100. This implies that there are 101 integers in the list. T could be any list of 101 consecutive integers. For example, {0, 1, 2, ..., 100} or {1, 2, 3, ..., 101}. Not sufficient.
(2) The fourth integer in T is 6. This implies that the first integer is 9. We don't know how many integers are there in the list, hence cannot get the sum. Not sufficient.
(1)+(2) We know that the first integer is 9 and that there are total of 101 integers in the list: T = {9, 8, 7, 6, ..., 91}. We can get the sum. Sufficient.
Answer: C.
Hope it's clear. Hi Burnel, why is the first integer 9? Mind if I answer it for you! So the statement says that "The fourth integer in T is 6." Trace it back to get the first integer in the series. 9 <1st> // 8 <2nd> // 7 <3rd> // and then 6 <4th, which is given> Hope it is clear now.




Re: If T is a list of consecutive integers in increasing order
[#permalink]
05 Sep 2019, 08:48




