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# If T is a list of consecutive integers in increasing order

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Manager
Joined: 18 Oct 2013
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Location: India
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If T is a list of consecutive integers in increasing order  [#permalink]

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Updated on: 09 Jul 2014, 03:01
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Difficulty:

25% (medium)

Question Stats:

69% (01:14) correct 31% (01:13) wrong based on 232 sessions

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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

Originally posted by vikrantgulia on 09 Jul 2014, 02:45.
Last edited by Bunuel on 09 Jul 2014, 03:01, edited 1 time in total.
Edited the question.
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Re: If T is a list of consecutive integers in increasing order  [#permalink]

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09 Jul 2014, 03:08
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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.

Hope it's clear.
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Manager
Joined: 18 Oct 2013
Posts: 68
Location: India
Concentration: Technology, Finance
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]

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09 Jul 2014, 02:53
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
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Re: If T is a list of consecutive integers in increasing order  [#permalink]

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10 Jul 2014, 00:57
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Banuel you gave the solution on all thread, so a lot of thanks of you...
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Re: If T is a list of consecutive integers in increasing order  [#permalink]

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22 May 2019, 10:27
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.

Hope it's clear.

Hi Burnel, why is the first integer -9?
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Re: If T is a list of consecutive integers in increasing order  [#permalink]

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05 Sep 2019, 09:48
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.

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, 09:48
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