MTH405 Midterm Quiz No 1 solution by taleemi markaz
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Questions:
Division is a binary operation on the set of Natural numbers N.
The set G={1,-1,i,-i} is a NOT group under multiplication.
Which of the following is NOT a rational number?
If 𝑮={𝟏,−𝟏,𝒊,−𝒊} is a group under multiplication, then inverse of 𝒊 is _________.
The operation of subtraction satisfies the commutative property.
The group {1,-1} is subgroup of the group ("Z,+" ).
The set Z is subset of the set 𝑸′.
If a, b are the elements of group G, then (𝒂𝒃^(−𝟏) )^(−𝟏)=______________
If a, b are the elements of group G, then (𝒃^(−𝟏) 𝒂^(−𝟏) )^(−𝟏)=______________
(𝒁,−) is a groupoid under the operation of usual subtraction.