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The following sets are given
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23 Apr 2021, 09:53
23 Apr 2021, 09:53
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Question Stats:
12% (02:34) correct
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The following sets are given, where \(x\) is an integer \(>1\):
\(A=[(-1+x+x^2),(1-x+x^2),(1+x+x^2)]\)
\(B=[(-1+x^2+x^3),(1-x^2+x^3),(1+x^2+x^3)]\)
Which statements are true?
Select all that apply
A. The greatest of A is less than the least element of B.
B. The greatest element of A is greater than the least element of B.
C. The greatest element of A is less than the greatest element of B.
D. The average of elements of A is greater than the average of elements of B.
E. The average of the elements of A is smaller than the average of the elements of B
F. the average of the elements of A is equal to the average of the elements of B.
G. The average of the elements of A is twice the average of the elements of B
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
\(A=[(-1+x+x^2),(1-x+x^2),(1+x+x^2)]\)
\(B=[(-1+x^2+x^3),(1-x^2+x^3),(1+x^2+x^3)]\)
Which statements are true?
Select all that apply
A. The greatest of A is less than the least element of B.
B. The greatest element of A is greater than the least element of B.
C. The greatest element of A is less than the greatest element of B.
D. The average of elements of A is greater than the average of elements of B.
E. The average of the elements of A is smaller than the average of the elements of B
F. the average of the elements of A is equal to the average of the elements of B.
G. The average of the elements of A is twice the average of the elements of B
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: The following sets are given
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24 Apr 2021, 20:37
24 Apr 2021, 20:37
1
Carcass wrote:
The following sets are given, where \(x\) is an integer \(>1\):
\(A=[(-1+x+x^2),(1-x+x^2),(1+x+x^2)]\)
\(B=[(-1+x^2+x^3),(1-x^2+x^3),(1+x^2+x^3)]\)
Which statements are true?
Select all that apply
A. The greatest of A is less than the least element of B.
B. The greatest element of A is greater than the least element of B.
C. The greatest element of A is less than the greatest element of B.
D. The average of elements of A is greater than the average of elements of B.
E. The average of the elements of A is smaller than the average of the elements of B
F. the average of the elements of A is equal to the average of the elements of B.
G. The average of the elements of A is twice the average of the elements of B
\(A=[(-1+x+x^2),(1-x+x^2),(1+x+x^2)]\)
\(B=[(-1+x^2+x^3),(1-x^2+x^3),(1+x^2+x^3)]\)
Which statements are true?
Select all that apply
A. The greatest of A is less than the least element of B.
B. The greatest element of A is greater than the least element of B.
C. The greatest element of A is less than the greatest element of B.
D. The average of elements of A is greater than the average of elements of B.
E. The average of the elements of A is smaller than the average of the elements of B
F. the average of the elements of A is equal to the average of the elements of B.
G. The average of the elements of A is twice the average of the elements of B
A very lengthy question
Considering x as 2, following are the sets.
A - 5,3,7
B - 11,5,13
A. 7<5 No
B. 7>5 Yes
C. 7>5 Yes
D. 5>9.6 No
E. 5<9.6 Yes
F. 5=9.6 No
G.5=2*9.6 No
Hence, BCE
Re: The following sets are given
[#permalink]
05 Sep 2022, 11:01
05 Sep 2022, 11:01
1
tapas3016 wrote:
Carcass wrote:
The following sets are given, where \(x\) is an integer \(>1\):
\(A=[(-1+x+x^2),(1-x+x^2),(1+x+x^2)]\)
\(B=[(-1+x^2+x^3),(1-x^2+x^3),(1+x^2+x^3)]\)
Which statements are true?
Select all that apply
A. The greatest of A is less than the least element of B.
B. The greatest element of A is greater than the least element of B.
C. The greatest element of A is less than the greatest element of B.
D. The average of elements of A is greater than the average of elements of B.
E. The average of the elements of A is smaller than the average of the elements of B
F. the average of the elements of A is equal to the average of the elements of B.
G. The average of the elements of A is twice the average of the elements of B
\(A=[(-1+x+x^2),(1-x+x^2),(1+x+x^2)]\)
\(B=[(-1+x^2+x^3),(1-x^2+x^3),(1+x^2+x^3)]\)
Which statements are true?
Select all that apply
A. The greatest of A is less than the least element of B.
B. The greatest element of A is greater than the least element of B.
C. The greatest element of A is less than the greatest element of B.
D. The average of elements of A is greater than the average of elements of B.
E. The average of the elements of A is smaller than the average of the elements of B
F. the average of the elements of A is equal to the average of the elements of B.
G. The average of the elements of A is twice the average of the elements of B
A very lengthy question
Considering x as 2, following are the sets.
A - 5,3,7
B - 11,5,13
A. 7<5 No
B. 7>5 Yes
C. 7>5 Yes
D. 5>9.6 No
E. 5<9.6 Yes
F. 5=9.6 No
G.5=2*9.6 No
Hence, BCE
I don't agree that B is always true. As x gets larger, this will no longer apply.
Consider x=3
Set A = (11,7,13) and Set B = (35,19,37).
In this case, 13 is NOT greater than 19.
