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RPF Constable Statements, Conclusions and Syllogisms — practice questions

Explore 26 free Statements, Conclusions and Syllogisms questions in RPF Constable General Intelligence and Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Statements, Conclusions and Syllogisms questions and exercises with answers

Showing questions 1–26 of 26.

Match the taught relationRead the answer and worked solution →Every sealed bag has a tag. Bag R is sealed. What must be true?Read the answer and worked solution →Only trained workers operate this machine. Neel operates it. What follows?Read the answer and worked solution →If an audit passes, a report is released. The report was released. Must the audit have passed?Read the answer and worked solution →Every red tag bears a star. Tag R bears no star. What must follow?Read the answer and worked solution →No empty box is sealed. Box K is sealed. What follows?Read the answer and worked solution →Some inspectors are runners. Every runner has a badge. Which must follow?Read the answer and worked solution →The only premise is: All items in set A belong to B. Does this prove that any A exists?Read the answer and worked solution →Some buses are electric. No electric vehicle is diesel-powered. Which must be true?Read the answer and worked solution →At least one of lamps P and Q is on. P is off. Which must be true?Read the answer and worked solution →If P holds, Q holds; if Q holds, R holds. R does not hold. What must follow?Read the answer and worked solution →Some K are L. All L are M. No M is N. Which conclusion is necessary?Read the answer and worked solution →All A are B. Some B are C. Conclusion: Some A are C. Is it guaranteed?Read the answer and worked solution →Exactly one of alarms P and Q is active. P is active. Which is certain?Read the answer and worked solution →A visitor enters only if both clearance and ID are verified. J entered. Which must hold?Read the answer and worked solution →All R are S. No S is T. Some U are R. I: Some U are not T. II: Some S are U. III: No U is T. Which follow?Read the answer and worked solution →If A then B; if C then D; if E then F. At least one of A,C,E occurs. Neither B nor D occurs. Which must be true?Read the answer and worked solution →Some P are Q; all Q are R; no R is S; some S are T. I: Some P are not S. II: Some T are not Q. III: No P is T. Which follow?Read the answer and worked solution →Which example disproves “All A are C” while satisfying “All A are B” and “Some B are C”?Read the answer and worked solution →All A are B; no B is C. Which extra premise ensures both “No A is C” and “Some A are not C”?Read the answer and worked solution →Choose exactly 3 of A–F. A requires B; C requires D; exactly one of B,E is chosen; F requires C; at least one of A,F is chosen. Which pair must be excluded?Read the answer and worked solution →Exactly two switches A–D are on. Claims: A off or B on(or both); C,D same state; exactly one of A,C on; B off. Exactly 3 claims are true. Which pair is on?Read the answer and worked solution →3 objects. All A are B or C; no B is D; all C are D; some A are D; some A are B. I:Some C are not B. II:Each A is in exactly one of B,C. III:Some D are not A. Which follow?Read the answer and worked solution →Exactly one of A,B holds. B requires C; C requires exactly one of D,E; D requires A; E excludes C. Which cannot hold?Read the answer and worked solution →What must follow?Read the answer and worked solution →Read the set diagramsRead the answer and worked solution →

Worked practice questions

Match the taught relation

Read exercise and reference answers
Matching pairs
  1. Left
    Standard syllogism: statements
    Right
    Three
  2. Left
    All S are P
    Right
    Universal affirmative
  3. Left
    No S are P
    Right
    Universal negative
Instructions
Tap each clue and its matching answer.

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Every sealed bag has a tag. Bag R is sealed. What must be true?

  1. Every tagged bag is sealed
  2. R has no tag
  3. R has a tag
  4. R is empty
Show answer and solution

Correct answer: C. R has a tag

Applying the rule to the sealed bag R shows that R has a tag.

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Only trained workers operate this machine. Neel operates it. What follows?

  1. Neel is trained
  2. Neel trains others
  3. Every trained worker operates it
  4. Neel is the only operator
Show answer and solution

Correct answer: A. Neel is trained

Operating is permitted only for trained workers, so the operator Neel must be trained.

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