Syllogism Questions with Answers

Syllogism questions with solutions

6 from the 313-question pool, worked in full.

1. 1. Statements: All welders are technicians. No technician is unlicensed. Conclusion: No welder is unlicensed. Is the conclusion valid?

   • A. Invalid
   • B. Cannot be determined
   • C. Valid ✓
   • D. Only partially valid

   Solution. Since all welders are technicians, and no technician is unlicensed, it follows necessarily that no welder is unlicensed.

2. 2. Statements: All mangoes are fruits. All fruits contain seeds. Which conclusion follows?

   • A. No mango contains seeds
   • B. All mangoes contain seeds ✓
   • C. Some fruits are not mangoes
   • D. Only mangoes contain seeds

   Solution. The two universal statements form a direct logical chain.

3. 3. Statements: All squares are rectangles. All rectangles are quadrilaterals. Conclusions: I. All squares are quadrilaterals. II. Some quadrilaterals are squares. Which conclusion(s) follow?

   • A. Only I follows
   • B. Only II follows
   • C. Neither follows
   • D. Both I and II follow ✓

   Solution. Chaining the two statements gives "All squares are quadrilaterals" (I), which converts validly to "Some quadrilaterals are squares" (II). Both follow.

4. 4. Statements: No bench is a chair. All chairs are stools. Some stools are tables. Conclusions: I. No bench is a stool. II. Some stools are not benches. Which conclusion(s) follow?

   • A. Only I follows
   • B. Only II follows ✓
   • C. Both I and II follow
   • D. Neither follows

   Solution. "No bench is a chair" and "all chairs are stools" only guarantees that the chair-stools are not benches, so at least some stools are not benches (II). It does not rule out other stools also being benches, so I is too strong and does not follow.

5. 5. Statements: No clock is a watch. All watches are timepieces. Conclusions: I. No clock is a timepiece. II. Some timepieces are not clocks.

   • A. Only I follows
   • B. Both I and II follow
   • C. Neither follows
   • D. Only II follows ✓

   Solution. The watches (which are all timepieces) are guaranteed not to be clocks, so at least some timepieces are not clocks (II follows). I overgeneralises to every timepiece, which is not guaranteed since some other timepieces could still be clocks.

6. 6. Statements: No claim is fraudulent. All rejected applications are fraudulent. Conclusion: No rejected application is a claim. Is the conclusion valid?

   • A. Invalid
   • B. Cannot be determined
   • C. Only partially valid
   • D. Valid ✓

   Solution. Since all rejected applications fall within the group of fraudulent items, and no claim is fraudulent, rejected applications cannot be claims either, so the conclusion necessarily follows.

Exams that set Syllogism

13 categories, led by Banking, Railways, Management.

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