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S is a set containing 6 different positive even numbers. T is a set c
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17 Aug 2021, 02:52
17 Aug 2021, 02:52
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S is a set containing 6 different positive even numbers. T is a set containing 5 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
(A) The median of S is odd.
(B) The median of T is odd.
(C) The mean of S is odd.
(D) The mean of S is greater than the mean of T.
(E) The median of S is greater than the median of T.
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) The median of S is odd.
(B) The median of T is odd.
(C) The mean of S is odd.
(D) The mean of S is greater than the mean of T.
(E) The median of S is greater than the median of T.
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Re: S is a set containing 6 different positive even numbers. T is a set c
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17 Aug 2021, 07:23
17 Aug 2021, 07:23
1
Set S has only even numbers, since all members of Set T are from Set S: all of them are even as well
Set T consists of 5 members, its median will hence be the third member.
Since all members of set T are even, option (B) cannot be true
Set T consists of 5 members, its median will hence be the third member.
Since all members of set T are even, option (B) cannot be true
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Re: S is a set containing 6 different positive even numbers. T is a set c
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11 Nov 2021, 12:44
11 Nov 2021, 12:44
Carcass wrote:
S is a set containing 6 different positive even numbers. T is a set containing 5 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
(A) The median of S is odd.
(B) The median of T is odd.
(C) The mean of S is odd.
(D) The mean of S is greater than the mean of T.
(E) The median of S is greater than the median of T.
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) The median of S is odd.
(B) The median of T is odd.
(C) The mean of S is odd.
(D) The mean of S is greater than the mean of T.
(E) The median of S is greater than the median of T.
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Key Properties:
- If a set contains an ODD number of values, then the median will be the middlemost number, when the values are arranged in ascending order.
- If a set contains an EVEN number of values, then the median will be the average of the two middlemost numbers, when the values are arranged in ascending order.
Since set T contains an ODD number of values, the median will be the middlemost number in the set.
In other words, the median will be one of the numbers in set T
Since all of the numbers in set T are even, we know that the median of the set will be even.
So statement B is impossible.
Answer: B
