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# List K consists of 12 consecutive integers. If -4 is the least integer

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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
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anchitg
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
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
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nave81
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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anchitg
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
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
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subhrm
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.
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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

Perfectly valid approach!

Cheers,
Brent
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
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
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
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?
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
Letsdothis12
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]

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

Range in a set is defined as difference between maximum and minimum.
Maximum +ve = 7
Minimum +ve = 1
Range = 7 - 1 = 6.

Also, some people do mistake in counting numbers.
In this case, 12 numbers include -4 , so the maximum number will be (-4 +12 ) -1 = 7
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List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
nave
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?

ohhhh GMAT!...putting some small words and we are trapped

trying to hurry....I thought the que will always be asking about the normal range (max-min)...and quickly put the answer as 11.

what is the range of the positive integers in list K?
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
The set is {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}
Range of positive integers = 7-1 = 6

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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
How are we to assume that each number will increase by '1' and not some other number (ex: '2')?
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Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
JakeCocchiarella
How are we to assume that each number will increase by '1' and not some other number (ex: '2')?

We are given that list K consists of 12 consecutive integers.

"Consecutive integers" ALWAYS mean integers that follow each other in order with a common difference of 1: ... x-3, x-2, x-1, x, x+1, x+2, ....

For example:

-7, -6, -5 are consecutive integers.

2, 4, 6 ARE NOT consecutive integers, they are consecutive even integers.

1, 3, 5 ARE NOT consecutive integers, they are consecutive odd integers.

Hope this helps.
Re: List K consists of 12 consecutive integers. If -4 is the least integer [#permalink]
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