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# Algebra MCQs Test 03

Algebra MCQs Test 03

This test of algebra consist of most important 10 multiple choice question. Attempt these multiples and compare your answers with coorect answers.

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Algebra Math MCQs Test 02

Algebra MCQs Test 03

1. A homomorphic image of cyclic group is

2.

Subgroup G generated by all commutators [u, v] such that u,v∈G then it is known as

3. An endomorphism $\phi&space;:G\rightarrow&space;G$ is said to be automorphism if $\phi$ is

4. Let (Z,+) and (E,+) be the groups of integers and even numbers with mappings F:Z→E s.t f(x)=2x for all x∈ Z then function  f is known as

5. Every group of order prime is

6. Every group of order square of prime number is known as

7. If H is a normal subgroup of G then

8. Let H and G be the two groups and H⊆G then

9. Let H be a subgroup of G and for fixed element of G then we define $K=hgh^{-1}=\left&space;\{ghg^{-1}:&space;h\in&space;H&space;\right&space;\}$ then K is

10. If $\Psi:&space;A\rightarrow&space;B$ be a function and for $a&space;\in&space;A,b&space;\in&space;B\,\&space;,\Psi(a)\neq&space;\Psi&space;(b)\,\&space;for&space;\,\&space;a&space;\neq&space;b$ then function is known as