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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
List A consists of at least two different values and contains only pos
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25 Mar 2021, 05:30
25 Mar 2021, 05:30
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Question Stats:
37% (01:37) correct
62% (02:38) wrong based on 16 sessions
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List A consists of at least two different values and contains only positive multiples of 30. Which of the following CANNOT be true?
I. The range of list A is twice as big as the median of list A.
II. The variance of list A is less than the standard deviation of list A.
III. The median of list A is the square of an integer but not an element in list A.
(A) None
(B) I only
(C) II only
(D) III only
(E) II and III only
I. The range of list A is twice as big as the median of list A.
II. The variance of list A is less than the standard deviation of list A.
III. The median of list A is the square of an integer but not an element in list A.
(A) None
(B) I only
(C) II only
(D) III only
(E) II and III only
List A consists of at least two different values and contains only pos
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27 Mar 2021, 12:46
27 Mar 2021, 12:46
2
We can solve this problem by trying to come up with counterexamples for each of the statements.
I. "The range of list A is twice as big as the median of list A." CE: {30, 150, 330}. The median is 150 and the range is 300, which is double the median. (I) can be true.
II. "The variance of list A is less than the standard deviation of list A". CE: Imagine a list with nine hundred ninety-nine terms of 30 and one term of 60. The variance will be 908.91/1000, which is less than one, so the standard deviation will be larger than the variance. (II) can be true.
III. "The median of list A is the square of an integer but not an element in list A". CE: {60, 900, 930}. 900 is the square of 30, but 30 is not in the list. (III) can be true.
Since none of the statements cannot be true, (A) is the correct answer.
I. "The range of list A is twice as big as the median of list A." CE: {30, 150, 330}. The median is 150 and the range is 300, which is double the median. (I) can be true.
II. "The variance of list A is less than the standard deviation of list A". CE: Imagine a list with nine hundred ninety-nine terms of 30 and one term of 60. The variance will be 908.91/1000, which is less than one, so the standard deviation will be larger than the variance. (II) can be true.
III. "The median of list A is the square of an integer but not an element in list A". CE: {60, 900, 930}. 900 is the square of 30, but 30 is not in the list. (III) can be true.
Since none of the statements cannot be true, (A) is the correct answer.
gmatclubot
List A consists of at least two different values and contains only pos [#permalink]
27 Mar 2021, 12:46
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