Free Logical Deductions MCQs with Answers

240 Logical Deductions MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.

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Read the Logical Deductions notesFree MDCAT chapter notes with key terms

240 questions · page 1 of 12

  • A. All erasers are pens
  • B. All pens are erasers
  • C. Some erasers are not pencils
  • D. No pen is an eraser

Explanation: The two statements chain together, so everything in the pen category is inside pencils and therefore inside erasers.

Correct answer: All pens are erasers
Fairly easy
  • A. All books are stories
  • B. Some books are stories
  • C. No book is a story
  • D. All stories are books

Explanation: The books that are novels must also be stories, which guarantees that at least some books are stories, but nothing is known about the…

Correct answer: Some books are stories
  • A. All employees are lazy
  • B. Some employees are not lazy
  • C. No employee is lazy
  • D. Some teachers are employees only

Explanation: The employees who are teachers cannot be lazy, so at least some employees are not lazy, but the rest are unaccounted for.

Correct answer: Some employees are not lazy
  • A. It rained
  • B. It did not rain
  • C. The match was postponed
  • D. Nothing can be concluded

Explanation: Denying the consequence of a conditional lets you deny its antecedent, which is the valid form known as modus tollens.

Correct answer: It did not rain
  • A. Sana passed the entry test
  • B. Sana did not pass the entry test
  • C. Sana may or may not have passed the entry test
  • D. The entry test was easy

Explanation: The statement says passing is sufficient for joining, not that it is the only route, so Sana might have joined through a quota, transfer…

Correct answer: Sana may or may not have passed the entry test
Fairly easy
  • A. Squares are a subset of rectangles
  • B. Rectangles are a subset of squares
  • C. No rectangle is a square
  • D. All rectangles are squares

Explanation: The first premise places squares entirely inside rectangles and the second confirms that rectangles extend beyond squares, so the…

Correct answer: Squares are a subset of rectangles
  • A. Some cats are wild
  • B. All cats are wild
  • C. No definite conclusion about cats being wild can be drawn
  • D. No cat is wild

Explanation: The wild animals mentioned might be entirely outside the cat group, so nothing definite follows about cats either way.

Correct answer: No definite conclusion about cats being wild can be drawn
  • A. Bilal is a member
  • B. Bilal is not a member
  • C. Bilal is a student
  • D. Nothing follows

Explanation: The word only makes membership a necessary condition for use, so anyone using the library must be a member.

Correct answer: Bilal is a member
  • A. C is taller than A
  • B. A is taller than C
  • C. A and C are of equal height
  • D. Nothing can be said

Explanation: Height comparisons are transitive, so the relationship carries through the chain from A to C.

Correct answer: A is taller than C
Very hard
  • A. 18
  • B. 19
  • C. 20
  • D. 17

Explanation: Adding the two positions counts Ali twice, so the total is 7 plus 12 minus 1, which is 18.

Correct answer: 18
Fairly easy
  • A. Ali
  • B. Bilal
  • C. Chand
  • D. Danish

Explanation: The chain runs Bilal below Ali, Ali below Chand and Chand below Danish, so Danish is at the top.

Correct answer: Danish
Fairly easy
  • A. Some doctors are illiterate
  • B. No doctor is illiterate
  • C. All graduates are doctors
  • D. Some graduates are illiterate

Explanation: Doctors lie wholly within graduates, and graduates are wholly excluded from the illiterate group, so doctors are excluded too.

Correct answer: No doctor is illiterate
  • A. some Zips are Zops
  • B. no Zip is a Zop
  • C. all Zops are Zips
  • D. some Zaps are Zops

Explanation: Nonsense words are used deliberately so that the answer depends only on the structure and not on any real world knowledge.

Correct answer: no Zip is a Zop
  • A. A and D are married or are the parents of the same children
  • B. A is the brother of D
  • C. C is the son of A
  • D. B and D are siblings

Explanation: B and C are sisters and daughters of the same family, so A as the father and D as the other parent must be the parents of both.

Correct answer: A and D are married or are the parents of the same children
Fairly easy
  • A. Some pens are visible
  • B. All pens are visible
  • C. No pen is visible
  • D. All visible things are pens

Explanation: The red pens must be visible, which establishes that some pens are visible, but the pens that are not red remain unaccounted for.

Correct answer: Some pens are visible
  • A. You submitted the form
  • B. You did not submit the form
  • C. The form was lost
  • D. Nothing follows

Explanation: Unless means if not, so the statement says that not submitting leads to rejection, and since rejection did not occur, the form must have…

Correct answer: You submitted the form
  • A. 16th
  • B. 17th
  • C. 15th
  • D. 18th

Explanation: The position from the right is the total minus the position from the left plus one, so 25 minus 9 plus 1 gives 17.

Correct answer: 17th
  • A. Some team members are engineers
  • B. All team members are engineers
  • C. No definite conclusion about team members being engineers can be drawn
  • D. All engineers are from Lahore

Explanation: The engineers among Lahore's population might all fall outside the team, so nothing definite follows about the team at all.

Correct answer: No definite conclusion about team members being engineers can be drawn
Fairly easy
  • A. P
  • B. Q
  • C. R
  • D. S

Explanation: The chain gives R lighter than Q, Q lighter than P and P lighter than S, so the order from lightest is R, Q, P, S.

Correct answer: R
  • A. Some teachers are not dishonest
  • B. No teacher is dishonest
  • C. All teachers are scientists
  • D. Some scientists are teachers only

Explanation: The teachers who are scientists must be honest, so at least some teachers are not dishonest, while the remaining teachers are unknown.

Correct answer: Some teachers are not dishonest

Logical Deductions MCQs: common questions

Are these Logical Deductions MCQs free?

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How many Logical Deductions MCQs are on this page?

There are 240 Logical Deductions MCQs in the Analytical and Logical Reasoning bank, shown 20 to a page with the correct answer and an explanation on each.

Does every Logical Deductions MCQ have an explanation?

Yes. Each Logical Deductions question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.

Can I take a timed Logical Deductions test?

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