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If set S consists of 5 consecutive integers and the average of set S
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11 Aug 2021, 01:11
11 Aug 2021, 01:11
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Question Stats:
77% (01:19) correct
22% (01:17) wrong based on 18 sessions
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If set S consists of 5 consecutive integers and the average of set S is x, which of the following must be true?
I. x is an integer
II. x is the median of set S
III. The difference between x and the largest number in set S is equal to the difference between x and the smallest number in set S.
(A) II only
(B) III only
(C) I and III
(D) II and III
(E) I, II, and III
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
I. x is an integer
II. x is the median of set S
III. The difference between x and the largest number in set S is equal to the difference between x and the smallest number in set S.
(A) II only
(B) III only
(C) I and III
(D) II and III
(E) I, II, and III
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Re: If set S consists of 5 consecutive integers and the average of set S
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11 Aug 2021, 02:26
11 Aug 2021, 02:26
1
Set S with five consecutive integers
Take \(S = {1 , 2 , 3 , 4 , 5}\)
\(x\) will be \(3\)
Satisfies all three choices.
Answer E
Take \(S = {1 , 2 , 3 , 4 , 5}\)
\(x\) will be \(3\)
Satisfies all three choices.
Answer E
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Re: If set S consists of 5 consecutive integers and the average of set S
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13 Aug 2021, 18:53
13 Aug 2021, 18:53
rx10 wrote:
Set S with five consecutive integers
Take \(S = {1 , 2 , 3 , 4 , 5}\)
\(x\) will be \(3\)
Satisfies all three choices.
Answer E
Take \(S = {1 , 2 , 3 , 4 , 5}\)
\(x\) will be \(3\)
Satisfies all three choices.
Answer E
For the difference between x and the largest number in set S is equal to the difference between x and the smallest number in set S, x (average ) is not small than larger number? is not sign need to consider?
