100+ Syllogism Questions with Answers
Practise these 100+ Syllogism MCQs to strengthen your logical reasoning, statement analysis, and conclusion-based problem-solving skills for SSC, Railway, Banking, Defence, and other competitive examinations.
1. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
2. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
3. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
4. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
5. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
6. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
7. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
8. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
9. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
10. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
11. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
12. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
13. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
14. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
15. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
16. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
17. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
18. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
19. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
20. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
21. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
22. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
23. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
24. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
25. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
26. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
27. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
28. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
29. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
30. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
31. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
32. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
33. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
34. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
35. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
36. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
37. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
38. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
39. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
40. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
41. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
42. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
43. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
44. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
45. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
46. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
47. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
48. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
49. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
50. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
51. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
52. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
53. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
54. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
55. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
56. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
57. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
58. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
59. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
60. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
61. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
62. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
63. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
64. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
65. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
66. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
67. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
68. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
69. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
70. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
71. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
72. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
73. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
74. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
75. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
76. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
77. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
78. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
79. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
80. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
81. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
82. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
83. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
84. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
85. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
86. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
87. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
88. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
89. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
90. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
91. Statements: All A are B. All B are C. Which conclusion definitely follows?
Because every A belongs to B and every B belongs to C, every A must also belong to C.
92. Statements: No A is B. All C are A. Which conclusion definitely follows?
C is contained within A, and A has no overlap with B. Therefore, C cannot overlap with B.
93. Statements: All A are B. No B is C. Which conclusion definitely follows?
A is contained within B, while B and C do not overlap. Hence, A and C cannot overlap.
94. Statements: Some A are B. All B are C. Which conclusion definitely follows?
The objects that are both A and B must also be C because every B is C.
95. Statements: All A are B. Some C are not B. Which conclusion definitely follows?
Anything that is not B cannot be A because every A is B. Therefore, those C objects are not A.
96. Statements: Some A are B. No B is C. Which conclusion definitely follows?
The A objects that are also B cannot be C because B and C are disjoint.
97. Statements: All A are B. All C are B. Which conclusion definitely follows?
Both A and C are subsets of B, but they may overlap or may be separate. Their relationship cannot be determined.
98. Statements: No A is B. No B is C. Which conclusion definitely follows?
A and C can both be outside B, so the statements do not establish whether A and C overlap.
99. Statements: All A are B. Some A exist. Which conclusion definitely follows?
At least one A exists, and every A is B. Therefore, at least one B exists.
100. Statements: No A is B. Some A exist. Which conclusion definitely follows?
The existing A objects cannot belong to B because A and B are disjoint.
Syllogism questions become easier when you translate each statement into a simple set relationship. Check only what must be true, and avoid drawing conclusions that are merely possible.
Reasoning MCQs
Practice important Topic wise Reasoning Questions with Answers for competitive exams.