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NPCIL Trainee Venn Diagrams — practice questions — page 4

Explore 109 free Venn Diagrams questions in NPCIL Trainee Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Venn Diagrams questions and exercises with answers

Showing questions 91–109 of 109.

Order the steps: test a conclusion with circlesRead the answer and worked solution →True or false: using diagrams to test argumentsRead the answer and worked solution →Tap every conclusion forced by 'All A is B' and 'All B is C'Read the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Flip and pair: picture with propositionRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Does the diagram settle it?Read the answer and worked solution →Diagrams and validityRead the answer and worked solution →True or false: what circles can and cannot showRead the answer and worked solution →Tap every conclusion forced by 'No A is B' and 'All C is B'Read the answer and worked solution →Which arrangement matches the statement?Read the answer and worked solution →Using a diagram as a testRead the answer and worked solution →Assertion and reason: diagramsRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Order the steps: draw the premisesRead the answer and worked solution →Flip and pair: arrangement with propositionRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →

Worked practice questions

Order the steps: test a conclusion with circles

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Steps
  1. Draw a circle for each of the three classes
  2. Arrange them to satisfy the first premise
  3. Adjust them so the second premise also holds
  4. Look at what the diagram now forces about the two end classes
  5. Accept the conclusion only if every allowed arrangement supports it
Draw what the premises allow, then look for what must follow. Source: Logic: Deductive and Inductive, Carveth Read (1898), public domain.

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True or false: using diagrams to test arguments

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Questions
  1. Statement is true
    Yes
    Statement
    A conclusion is valid only if every consistent diagram supports it.
  2. Statement is true
    No
    Statement
    One diagram that supports the conclusion is enough to prove it.
  3. Statement is true
    Yes
    Statement
    One consistent diagram that contradicts it disproves the argument.
  4. Statement is true
    Yes
    Statement
    Diagrams can show that nothing follows from the premises.
  5. Statement is true
    No
    Statement
    Diagrams add facts not present in the premises.
A conclusion holds only if EVERY diagram consistent with the premises shows it. Source: Logic: Deductive and Inductive, Carveth Read (1898), public domain.

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Tap every conclusion forced by 'All A is B' and 'All B is C'

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Questions
  1. Items
    1. Text
      All A is C
      Matches the category
      Yes
    2. Text
      Some C is A
      Matches the category
      Yes
    3. Text
      All C is A
      Matches the category
      No
    4. Text
      No A is C
      Matches the category
      No
    5. Text
      Some A is not C
      Matches the category
      No
    Category
    Follows from 'All A is B' and 'All B is C'
Only what every consistent arrangement of the circles shows. Source: Logic: Deductive and Inductive, Carveth Read (1898), public domain.

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