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# official guide 11th. PS #201

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official guide 11th. PS #201 [#permalink]  17 Feb 2009, 18:19
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i. n is an even number
ii. n is an odd number
iii. the average(arithmetic mean) of the n integers is 0

201. If the sum of n consecutive integers is 0, which of the following must be true?

(A)i only
(B)ii only
(C)iii only
(D)i and iii
(E)ii and iii

plz help me to understand. I already looked up the answer key, but i could not understand how to figure it out..
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Re: official guide 11th. PS #201 [#permalink]  17 Feb 2009, 19:57
emily0506 wrote:
i. n is an even number
ii. n is an odd number
iii. the average(arithmetic mean) of the n integers is 0

201. If the sum of n consecutive integers is 0, which of the following must be true?

(A)i only
(B)ii only
(C)iii only
(D)i and iii
(E)ii and iii

plz help me to understand. I already looked up the answer key, but i could not understand how to figure it out..

e.g
-1,0,1 --> n=3 is odd and avg=0
0 --> n=1 is odd
n must be odd to make the sum of consecuting integers zero.

(ii) sume even number of consecutive integers, neverb to zero.

avg = sum of integers/number of integers = 0/n=0

(ii) and (iii) MUST BE TRUE

C.
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Re: official guide 11th. PS #201 [#permalink]  17 Feb 2009, 22:39
i. n is an even number
ii. n is an odd number
iii. the average(arithmetic mean) of the n integers is 0

i. - the sum can never be 0
ii. - it might, or might not be: -1,0,1 or 2,3,4
iii. - will always be true, so the answer is C.
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Re: official guide 11th. PS #201 [#permalink]  17 Feb 2009, 23:01
peraspera wrote:
i. n is an even number
ii. n is an odd number
iii. the average(arithmetic mean) of the n integers is 0

i. - the sum can never be 0
ii. - it might, or might not be: -1,0,1 or 2,3,4
iii. - will always be true, so the answer is C.

sum of 2,3,4 -- never be zero.. so .. this is ruled out.
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Re: official guide 11th. PS #201 [#permalink]  18 Feb 2009, 10:32
x2suresh wrote:
peraspera wrote:
i. n is an even number
ii. n is an odd number
iii. the average(arithmetic mean) of the n integers is 0

i. - the sum can never be 0
ii. - it might, or might not be: -1,0,1 or 2,3,4
iii. - will always be true, so the answer is C.

sum of 2,3,4 -- never be zero.. so .. this is ruled out.

Exactly, that's why the answer is C.
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Re: official guide 11th. PS #201 [#permalink]  18 Feb 2009, 10:36
peraspera wrote:
x2suresh wrote:
peraspera wrote:
i. n is an even number
ii. n is an odd number
iii. the average(arithmetic mean) of the n integers is 0

i. - the sum can never be 0
ii. - it might, or might not be: -1,0,1 or 2,3,4
iii. - will always be true, so the answer is C.

sum of 2,3,4 -- never be zero.. so .. this is ruled out.

Exactly, that's why the answer is C.

Sorry!! I overlooked..(sleepy...sleepy) it
thought E was only (III)

Updated Answer in my orignal post.
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Re: official guide 11th. PS #201 [#permalink]  20 Feb 2009, 14:04
Whats going on here? Isnt the answer E?

The Q says if the sum of n consecutive integers is 0, So even though 2,3,4 are consecutive, they don't qualify for this Q
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Re: official guide 11th. PS #201 [#permalink]  24 Mar 2009, 04:10
Yeah, the answer should be E
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Re: official guide 11th. PS #201 [#permalink]  24 Mar 2009, 14:30
icandy wrote:
Whats going on here? Isnt the answer E?

The Q says if the sum of n consecutive integers is 0, So even though 2,3,4 are consecutive, they don't qualify for this Q

Yes, it is E.
Don't know what was there - maybe the original question got updated.
It should be E, as it it reads now.
Re: official guide 11th. PS #201   [#permalink] 24 Mar 2009, 14:30
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