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kevincan
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a Updated on: 01 Nov 2007, 02:51
Originally posted by kevincan on 31 Oct 2007, 09:13.
Last edited by kevincan on 01 Nov 2007, 02:51, edited 2 times in total.
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a positive integer greater than 1, and S ={x2,x3,...,xn}. Is the mean of S equal to the mean of Q?

(1) The sum of the elements in Q is an odd number
(2) Exactly half of the elements in Q are positive.



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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 31 Oct 2007, 09:39
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not sure but i think its B.

because if half of the elements in Q are positive, theres no way you can get the same mean by removing one element.
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 31 Oct 2007, 23:06
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kevincan
Q is a set of integers. If one element is removed from Q and the remaining elements form set R, is the mean of R equal to the mean of Q?

(1) The sum of the elements in R is an odd number
(2) Exactly half of the elements in Q are positive.
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what i can say outright is E but the question is poorly structured.
"If one element is removed from Q and the remaining elements form set R" doesnot make any sense.

can you reword it again?
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 01 Nov 2007, 02:50
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kevincan
Q is a set of integers. If one element is removed from Q and the remaining elements form set R, is the mean of R equal to the mean of Q?

(1) The sum of the elements in R is an odd number
(2) Exactly half of the elements in Q are positive.

what i can say outright is E but the question is poorly structured.
"If one element is removed from Q and the remaining elements form set R" doesnot make any sense.

can you reword it again?
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Perhaps you will find this clearer. Thanks for your input.
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 02 Nov 2007, 09:35
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kevincan
Q is the set of integers {x1, x2, x3,...,xn}, where n is a positive integer greater than 1, and S ={x2,x3,...,xn}. Is the mean of S equal to the mean of Q?

(1) The sum of the elements in Q is an odd number
(2) Exactly half of the elements in Q are positive.
Show more


got C but it is rather a brain teaser

From st 1 and 2, # of elements in Q is even and the sum is odd. so the mean of Q is a fraction. but S cannot have the same mean from the remaining elements when x1 removed because the removed one is an integer. to have the same (fraction) mean, x1 must be a fraction equivalant to the mean which is not the case here. so the means are not equal.


hope i got it.
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 02 Dec 2007, 18:39
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kevincan
Q is the set of integers {x1, x2, x3,...,xn}, where n is a positive integer greater than 1, and S ={x2,x3,...,xn}. Is the mean of S equal to the mean of Q?

(1) The sum of the elements in Q is an odd number
(2) Exactly half of the elements in Q are positive.
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Given this question on GMAT..ill have to roll the dice and choose an answer :)
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 03 Dec 2007, 00:02
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kevincan
Q is the set of integers {x1, x2, x3,...,xn}, where n is a positive integer greater than 1, and S ={x2,x3,...,xn}. Is the mean of S equal to the mean of Q?

(1) The sum of the elements in Q is an odd number
(2) Exactly half of the elements in Q are positive.
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S1: could be 3,5,7,9,11 and 5,7,9,11 in which case we have a NO. or 3,3,3,3,3 and 3,3,3,3, in which case we have a Yes. Insuff

S2: we can have -3,-3,3,3 and -3,3,3. Means are different.

Even if we take in wierd scenarios: 0,0,1,1 (half elements still +) and 0,1,1. We still get different means.

Q is always going to have one more term and thus less of a mean here. Unless im missing something.
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Q is the set of integers {x1, x2, x3,...,xn}, where n is a 03 Dec 2007, 01:26
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kevincan
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kevincan
Q is the set of integers {x1, x2, x3,...,xn}, where n is a positive integer greater than 1, and S ={x2,x3,...,xn}. Is the mean of S equal to the mean of Q?

(1) The sum of the elements in Q is an odd number
(2) Exactly half of the elements in Q are positive.

got C but it is rather a brain teaser

From st 1 and 2, # of elements in Q is even and the sum is odd. so the mean of Q is a fraction. but S cannot have the same mean from the remaining elements when x1 removed because the removed one is an integer. to have the same (fraction) mean, x1 must be a fraction equivalant to the mean which is not the case here. so the means are not equal.


hope i got it.
Excellent!
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Does {x1, x2, x3,...,xn}, where n is a positive integer greater than 1 imply that the set is ordered in an ascending manner? e.g. n = 4; x1, x2, x3, x4 = -2,-1,1,3 respectively.



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