Algebra MCQs Test 07

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1. If X and Y are two sets, then X∩(XUY)’=0

 
 
 
 

2. The symmetries of rectangle form a

 
 
 
 

3. Let An be the set of all even permutations of Sn is a subgroup of Sn. Then order of An is

 
 
 
 

4. The set of cube roots of unity is a subgroup of

 
 
 
 

5. Let G be a cyclic group of order 24. Then order of a^9 is

 
 
 
 

6. Let G be a finite group. Let H be a subgroup of G . Then which of the following divides the order of G

 
 
 
 

7. Which of the following is abelian

 
 
 
 

8. Let D_4=\left \{ <a,b>;a^4=b^2=(ab)^2=1) \right \} be a dihedral group of order 8. Then which of the following is a subgroup of D4

 
 
 
 

9. The union of all positive even and all positive odd integers is

 
 
 
 

10. Any group G van be embedded in a group of bijective mappings of certain sets is a statement of

 
 
 
 

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