Quiz 4-6_Abstract
Quiz
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Mathematics
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University
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Practice Problem
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Medium
Dina Magnaye
Used 2+ times
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45 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the unique element in a group that leaves other elements unchanged when combined with them?
Inverse element
Commutative element
Associative element
Identity element
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a group, for any elements (a, b, c) in (G), which property holds: (ab)c = a(bc)?
Commutativity
Associativity
Distributivity
Inverseness
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a group, if the operation is commutative, which property holds true?
(ab)c = a(bc)
a(bc) = (ab)
None of the above
ab = ba
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which condition is NOT necessary for a set to be considered a group?
Closure under the operation
Existence of an identity element
Existence of an inverse element for each element
Commutativity of the operation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a group, if every element has an inverse, the group is said to be:
Commutative
Associative
Abelian
Inversely closed
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which statement is true about the identity element in a group?
It is unique
It is the same as the inverse element
It is not necessary for the group to have an identity element
It only exists in non-abelian groups
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property states that for any element (a) in a group (G), there exists an element (b) in (G) such that ab = ba = e, where (e) is the identity element?
Closure
Associativity
Inverse property
Commutativity
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