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Logical deductions

Written by Bilal Siddiqui (Logical Reasoning)

11 MDCAT Logical reasoning questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. All doctors are graduates. All graduates are educated. Conclusion: All doctors are educated. Does the conclusion follow?

    • 1 No, it does not follow
    • 2 It contradicts the statements
    • 3 Only some doctors
    • 4 Yes, it follows
    Show answer

    Correct answer: Yes, it follows

    Doctors are inside the group of graduates, and graduates are inside the group of educated people, so doctors are inside educated people.

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  2. Some pens are books. All books are papers. Conclusion: Some pens are papers. Does the conclusion follow?

    • 1 No, it does not follow
    • 2 It contradicts the statements
    • 3 Yes, it follows
    • 4 All pens are papers
    Show answer

    Correct answer: Yes, it follows

    The pens that are books must also be papers, because all books are papers. So some pens are papers.

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  3. All cats are animals. Some animals are wild. Conclusion: Some cats are wild. Does the conclusion follow?

    • 1 No, it does not necessarily follow
    • 2 No cat is wild
    • 3 All cats are wild
    • 4 Yes, it follows
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    Correct answer: No, it does not necessarily follow

    The wild animals may all be other animals, such as lions. The statements do not say that any cat is wild.

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  4. No bird is a mammal. All bats are mammals. Conclusion: No bat is a bird. Does the conclusion follow?

    • 1 Yes, it follows
    • 2 No, it does not follow
    • 3 It contradicts the statements
    • 4 Some bats are birds
    Show answer

    Correct answer: Yes, it follows

    Bats are mammals and no mammal is a bird, so no bat can be a bird.

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  5. All A are B. No B is C. Conclusion: No A is C. Does the conclusion follow?

    • 1 Some A are C
    • 2 It cannot be tested
    • 3 No, it does not follow
    • 4 Yes, it follows
    Show answer

    Correct answer: Yes, it follows

    Every A is a B, and no B is a C, so no A can be a C.

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  6. Some roses are flowers. All flowers are plants. Conclusion: All roses are plants. Does the conclusion follow?

    • 1 No rose is a plant
    • 2 It contradicts the statements
    • 3 No, only some roses are known to be plants
    • 4 Yes, it follows
    Show answer

    Correct answer: No, only some roses are known to be plants

    Only the roses that are flowers are known to be plants. The statements say nothing about the other roses.

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  7. All students are readers. Ali is a student. What follows?

    • 1 Ali may not be a reader
    • 2 All readers are students
    • 3 Ali is not a reader
    • 4 Ali is a reader
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    Correct answer: Ali is a reader

    Ali belongs to the group of students, and every student is a reader.

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  8. If it rains, the match is cancelled. The match was not cancelled. What follows?

    • 1 It rained
    • 2 The match was played in the rain
    • 3 It did not rain
    • 4 Nothing can be said
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    Correct answer: It did not rain

    If rain always leads to cancellation, then no cancellation means there was no rain.

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  9. All doctors are graduates. Some graduates are teachers. Which conclusion must be true?

    • 1 No doctor is a teacher
    • 2 All teachers are doctors
    • 3 Some doctors may be teachers, but it is not certain
    • 4 All graduates are doctors
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    Correct answer: Some doctors may be teachers, but it is not certain

    The statements do not decide whether any doctor is a teacher.

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  10. All roses are flowers. All flowers need water. Which conclusion must be true?

    • 1 Some roses do not need water
    • 2 No rose is a flower
    • 3 All flowers are roses
    • 4 All roses need water
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    Correct answer: All roses need water

    If roses are flowers and flowers need water, roses need water.

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  11. No cat is a dog. All dogs are animals. Which conclusion must be true?

    • 1 No cat is a dog
    • 2 All animals are dogs
    • 3 Some cats are dogs
    • 4 All cats are animals
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    Correct answer: No cat is a dog

    Only the first statement is certain.

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