Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Mathematical Logic Propositional Logic
Given below are two statements:
Statement (I): If H is non empty finite subset of a group G and ab ∈ H ∀ a, b ∈ H, then H is also a group
Statement (II): There is no homomorphism exist from (Z, +) to (Q. +); where Z is set of integers and Q is set of rational number.
In the light of the above statements, choose the most appropriate answer from the options given below:
1
Both Statement I and Statement II are correct
2
Both Statement I and Statement II are incorrect
3
Statement I is correct but Statement II is incorrect
4
Statement I is incorrect but Statement II is correct