| {"question": "Find all c in Z_3 such that Z_3[x]/(x^2 + c) is a field.", "options": ["0", "1", "2", "3"], "answer": "B"} | |
| {"question": "Statement 1 | If aH is an element of a factor group, then |aH| divides |a|. Statement 2 | If H and K are subgroups of G then HK is a subgroup of G.", "options": ["True, True", "False, False", "True, False", "False, True"], "answer": "B"} | |
| {"question": "Statement 1 | Every element of a group generates a cyclic subgroup of the group. Statement 2 | The symmetric group S_10 has 10 elements.", "options": ["True, True", "False, False", "True, False", "False, True"], "answer": "C"} | |
| {"question": "Statement 1| Every function from a finite set onto itself must be one to one. Statement 2 | Every subgroup of an abelian group is abelian.", "options": ["True, True", "False, False", "True, False", "False, True"], "answer": "A"} | |
| {"question": "Find the characteristic of the ring 2Z.", "options": ["0", "3", "12", "30"], "answer": "A"} | |