Math Chapter Wise question with answer

Q01 If F is homomorphism of a group G into another group G’ with kernel k, then which of the following is true? English · RPSC PGT 2022 Q02 Let φ be a homomorphism of a group G into another group G' and e, e' be their identity elements. Which of the follo... English · PGT 2005 Q03 A homomorphism of a group into itself is called a/an– English · (GIC) Lecture Exam, 2015 Q04 Let Z be the additive group of integers and E the additive subgroup of even integers with zero, then the number of... English · UPPSC GIC 2021 UPPSC Ashram Paddhati 2021 Q05 Let G be a group with binary operation *defined by a*b=a+b+1, ∀ ∀ ∀ a, b ∈ G. Inverse of element C of G is English · UP PGT-2016 (02-02-2019) Q06 Let G be a group with identity element e. Let a, b∈G be such that a5 =e and aba–1 =b2. Then o(b) is English · LT 2018/ PGT 2010, 2005