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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # List K consists of 12 consecutive integers. If -4 is the least integer

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Manager  Joined: 08 Dec 2012
Posts: 61
Location: United Kingdom
WE: Engineering (Consulting)
List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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6
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Difficulty:   35% (medium)

Question Stats: 57% (00:46) correct 43% (00:50) wrong based on 463 sessions

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List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?

A. 5
B. 6
C. 7
D. 11
E. 12
Math Expert V
Joined: 02 Sep 2009
Posts: 59587
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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4
5
chaitanyas wrote:
Bunnel , I didn't understand when the largest positive integer in the list is 7 , how did the range become 7-1 = 6 , shouldn't it be 7

Pushpinder wrote:
Solution:

Set K = ( -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7)
Range is defined as the highest value of f(x) and the lowest value of f(x). Over here the range will be 7 - (-4) = 11.

Try making a graph of the set K and see what is the difference between the maximum value and the minimum value.

The set is {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}. The question asks to find the range of the POSITIVE integers in the list.

The range of the POSITIVE integers in the list is {largest} - {smallest} = 7 - 1 = 6.

Hope it's clear.
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Math Expert V
Joined: 02 Sep 2009
Posts: 59587
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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nave81 wrote:
List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?

A. 5
B. 6
C. 7
D. 11
E. 12

Since -4 is the least integer in list K, then 7 is the largest integer in that list. Thus the range of the positive integers in the list is 7-1=6.

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Intern  Joined: 20 Jan 2013
Posts: 2
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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Bunnel , I didn't understand when the largest positive integer in the list is 7 , how did the range become 7-1 = 6 , shouldn't it be 7
Intern  Joined: 20 Feb 2013
Posts: 17
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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1
nave81 wrote:
List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?

A. 5
B. 6
C. 7
D. 11
E. 12

Solution:

Set K = ( -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7)
Range is defined as the highest value of f(x) and the lowest value of f(x). Over here the range will be 7 - (-4) = 11.

Try making a graph of the set K and see what is the difference between the maximum value and the minimum value.
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Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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1
anchitg wrote:
List K consists of 12 consecutive integers, if -4 is the least integer in the list K, what is the range of the positive integers in list K?

5
6
7
11
12

k={-4,-3,-2,-1,0,1,2,3,4,5,6,7}

positive integers in the list k={1,2,3,4,5,6,7}
range=(7-1)=6

Ans B...hope it helps
Manager  Joined: 29 Apr 2013
Posts: 88
Location: India
Concentration: General Management, Strategy
GMAT Date: 11-06-2013
WE: Programming (Telecommunications)
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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1
anchitg wrote:
List K consists of 12 consecutive integers, if -4 is the least integer in the list K, what is the range of the positive integers in list K?

5
6
7
11
12

Simple one. However, the only thing to notice in this question is "range of the positive integers". You miss this and you are gone Senior Manager  Joined: 13 Jun 2013
Posts: 256
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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1
subhrm wrote:
List K consists of 12 consecutive integers. If -4 is the least integer in the list K , what is the range of positive integers in list K ?

A- 5
B- 6
C- 7
D- 11
E 12

numbers are -4,-3,-2,-1,0,1,2,3,4,5,6,7

range of positive numbers = 7-1= 6

note: zero is neither positive nor negative. it is neutral.
Intern  Joined: 22 Jun 2016
Posts: 5
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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so if it asks you for the positive and negative range then it would be 11 right? 7- (-4)= 11? or do you get two answers one for positive and one for negative?
Math Expert V
Joined: 02 Sep 2009
Posts: 59587
Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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Letsdothis12 wrote:
so if it asks you for the positive and negative range then it would be 11 right? 7- (-4)= 11? or do you get two answers one for positive and one for negative?

The set is {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}.

The range of the POSITIVE integers in the list is {largest} - {smallest} = 7 - 1 = 6.
The range of the NEGATIVE integers in the list is {largest} - {smallest} = -1 - (-4) = 3.

The range of the whole set is {largest} - {smallest} = 7 - (-4) = 11.
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Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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Quote:
List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?

Is not this an arithmetic progression with common difference as 1?

nth term in given by $$a_n$$ = $$a_1$$ + (n-1) d
We are given that $$a_1$$= -4 and hence we can solve for a_12 and n=12
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Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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1
Top Contributor

Quote:
List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?

Is not this an arithmetic progression with common difference as 1?

nth term in given by $$a_n$$ = $$a_1$$ + (n-1) d
We are given that $$a_1$$= -4 and hence we can solve for a_12 and n=12

Perfectly valid approach!

Cheers,
Brent
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Re: List K consists of 12 consecutive integers. If -4 is the least integer  [#permalink]

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This is so cheeky from GMAT.

The question asks what is the range of positive integers, not the range of the set.
so, answer is 7-1 = 6 not 7-(-4)=11 Re: List K consists of 12 consecutive integers. If -4 is the least integer   [#permalink] 21 Nov 2019, 08:36
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