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Sequence S consists of 16 consecutive integers. If -6 is the

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enigma123
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Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   01 Mar 2012, 15:28
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Sequence S consists of 16 consecutive integers. If -6 is the least integer in sequence S, what is the range of the positive integers in sequence S?

(A) 16
(B) 15
(C) 9
(D) 8
(E) 7
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D
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Bunuel
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   01 Mar 2012, 15:35
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enigma123 wrote:
Sequence S consists of 16 consecutive integers. If -6 is the least integer in sequence S, what is the range of the positive integers in sequence S?
(A) 16
(B) 15
(C) 9
(D) 8
(E) 7

How come the answer is D? For me it should be B. Any thought guys?


Since set S consists of 16 consecutive integers and -6 is the least integer then set S is consecutive integers from -6 to 9, inclusive: 9-(-6)+1=16.

The range of positive integers in sequence S is 9-1=8.

Answer: D.
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   08 Mar 2012, 03:03
I may have a misunderstanding of the definition of range. How/why does one get 8? I got 9.
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Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   08 Mar 2012, 04:22
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nfjet wrote:
I may have a misunderstanding of the definition of range. How/why does one get 8? I got 9.


The range of a set is the difference between the largest and the smallest numbers of the set.

Since the largest positive integer in the set is 9 and the smallest positive integer in the set is 1 then the range of the positive integers in the set 9-1=8.

Hope it's clear.
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   13 Mar 2012, 14:09
given sequence is -6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9

question is range of positive integers in the sequence

i,e. range of 1,2,3,4,5,6,7,8,9 = 9 - 1 = 8

so answer is D

hope it helps
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   10 Aug 2013, 21:08
Hi,

I have a doubt. Is zero not an integer cos in that case the correct answer would be 9. Also, if we move along the number line from positive to negative on this particular question then zero is to be counted as a positive integer i suppose. Please settle my doubt.
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   10 Aug 2013, 21:27
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mfcu2798 wrote:
Hi,

I have a doubt. Is zero not an integer cos in that case the correct answer would be 9. Also, if we move along the number line from positive to negative on this particular question then zero is to be counted as a positive integer i suppose. Please settle my doubt.


Zero is neither positive/nor negative. Thus, the range will be calculated for (1-9) and that amounts to 8.
Also, just to add on, Zero is Even.

For more, refer to this : math-number-theory-88376.html

Hope this helps.
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   10 Aug 2013, 21:51
Many thanks. While i am aware of the properties of 'zero' but could not understand why did we not consider zero as an integer here as per the question stem.
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   25 Oct 2014, 00:12
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enigma123 wrote:
Sequence S consists of 16 consecutive integers. If -6 is the least integer in sequence S, what is the range of the positive integers in sequence S?

(A) 16
(B) 15
(C) 9
(D) 8
(E) 7


From -6 to + 6 there are 13 integers (include zero as well)

Hence + 7, + 8 and + 9 become the remaining three integers.

The question asks the range of positive integers. The smallest positive integer in the list is 1 ( 0 is a non negative integer). The range is the difference between highest and the lowest value.

Range: 9 - 1 = 8
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   25 Oct 2014, 22:06
x-(-6)+1=16
x+6=15
x=9

so, 9-1=8

D
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   26 Oct 2014, 06:14
Least integer = -6

8th Integer = First +ve integer = 1

16th Integer = Last Integer = 9

Range = 9-1 = 8

Answer = D
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Re: Sequence S consists of 16 consecutive integers. If -6 is the [#permalink] New post   18 Mar 2024, 12:20
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