Syllogism

Ladakh Police Constable · Reasoning · 19 practice questions with answers and explanations: 10 Easy, 9 Medium, 0 Hard.

Sample questions

Sample Easy question 1

Statements: All lions are animals. Some animals are wild. Conclusion: Some lions are wild. Is this conclusion valid based purely on the statements given?

  1. Valid
  2. Invalid
  3. Cannot be determined
  4. None of these
Show answer

Answer: B. The 'wild' animals mentioned aren't guaranteed to include lions specifically, so the conclusion doesn't strictly follow from the statements.

Sample Easy question 2

Statements: All squares are polygons. All polygons are shapes. Conclusion I: All squares are shapes. Conclusion II: All shapes are squares. Which follows?

  1. Only I
  2. Only II
  3. Both I and II
  4. Neither
Show answer

Answer: A. Conclusion I follows the logical chain directly; Conclusion II reverses it and does not follow.

Sample Easy question 3

Statements: All squares are rectangles. Some rectangles are circles. Conclusion: Some squares are circles.

  1. Follows
  2. Does not follow
  3. Cannot be determined
  4. Both follow
Show answer

Answer: B. The rectangles that are circles aren't guaranteed to be the same ones that are squares, so the conclusion does not follow.

Sample Medium question 4

Statements: Some doctors are engineers. No engineer is a fool. Conclusions: I. No doctor is a fool. II. Some doctors are not fools.

  1. Only I follows
  2. Only II follows
  3. Both follow
  4. Neither follows
Show answer

Answer: B. Since some doctors are engineers and no engineer is a fool, at least those doctors are not fools — so only conclusion II follows.

Sample Medium question 5

Statements: All doctors are educated. Some educated people are rich. Conclusion: Some doctors are rich. Is this conclusion valid?

  1. Valid
  2. Invalid
  3. Cannot be determined
  4. None of these
Show answer

Answer: B. The rich educated people need not be doctors, so the conclusion does not necessarily follow.

Sample Medium question 6

Statements: No fish are mammals. All whales are mammals. Conclusion: No whales are fish. Is this conclusion valid?

  1. Valid
  2. Invalid
  3. Cannot be determined
  4. None of these
Show answer

Answer: A. Since whales are mammals and no mammals are fish, no whales can be fish.

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