Math Chapter Wise question with answer

Q01 Consider the following statements: I. Every subgroup of an abelian group is normal subgroup. II. The union of two n... English · UKPSC Lecturer (Mains) 2020 Q02 Consider the group (z,*), where Z is the set of all integers and * is defined by a*b=a+b+1, a, b∈z The inverse of a... English · UP PCS (Pre) 2006 Q03 Let H be a subgroup of a group (G,.). Consider the following statements: (i) a,b ∈H⇒ ⇒ ⇒aob ∈ H (ii) a∈H⇒ ⇒ ⇒a–1 ∈... English · UP PCS (Pre) 2006 Q04 Consider the following statements: I. { { { } } } 10 G 1,3,7,9 = ⊂ = ⊂ ℤ ℤ is a group with respect to multiplicatio... English · UP PCS (Pre) 2008 Q05 Consider the congruence xn ≡ ≡ 2(mod13). This congruence has a solution for x if English · Bihar (TRE 1.0) -2023 Q06 Consider the following real-valued maps defined over the vector space of 2 × 2 real- valued matrices. Which one of... English · JSSC PGT 2018