Binary Logic Questions for CAT

Preview 20 questions below, then sign up free to solve them in practice mode with worked solutions, and to reach all 439.

Verified questions439
Worked solutions in practice mode55 from CAT papers
118 easy162 medium159 hard

20 free Binary Logic questions

1EasyMCQ

Identify the assumption made by the author in the following statement: "Emma volunteers at the animal shelter. She must love animals."

  1. A

    Emma volunteers at other places besides the animal shelter.

  2. B

    Loving animals is a requirement for volunteering at an animal shelter.

  3. C

    Only people who love animals volunteer at the animal shelter.

  4. D

    Emma has never volunteered at the animal shelter before.

2EasyPassage, 4 questions

Among three people - A, B and C - exactly one is a Truth-teller (every statement true), one is a Liar (every statement false), and one is an Alternator (may say anything). A says: 'B is the liar.' B says: 'C is the alternator.' C says: 'A is the truth-teller.' Answer the questions that follow.

Question 1

If we assume A is the truth-teller, what happens?

  1. A

    Everything is consistent

  2. B

    It leads to a contradiction

  3. C

    C becomes the liar

  4. D

    Two alternators appear

Question 2

Who is the truth-teller?

  1. A

    A

  2. B

    B

  3. C

    C

  4. D

    Cannot be determined

Question 3

Who is the liar?

  1. A

    A

  2. B

    B

  3. C

    C

  4. D

    Cannot be determined

Question 4

Who is the alternator?

  1. A

    A

  2. B

    B

  3. C

    C

  4. D

    Cannot be determined

3EasyMCQ

Observe the cartoon below carefully and answer the question that follows. (Cartoon by Geoffrey Hewer-Candee. Used for educational purposes) figure Which of the following options BEST explains the underlying message depicted in the cartoon?

  1. A

    Not every action needs a hidden meaning; sometimes the simplest reason is correct.

  2. B

    Childhood trauma largely determines the habits and choices we make later in life.

  3. C

    Thinking deeply about our behaviour usually reveals truths that are otherwise missed.

  4. D

    Behaviour analysis is valuable because it uncovers the unconscious forces behind desires.

  5. E

    What appears to be instinctive behaviour is often rooted in complex emotional experiences.

4MediumMCQ

Below, two statements, I and II, are given for each question. These statements may be either independent causes or effects of independent causes or a common cause. One of these statements may be the effect of the other statement. Read both statements and decide which of the following answer choices correctly depicts the relationship between these two statements. I: For the last year, Shonda Inc has been firing people at lower levels and hiring freshers as their replacements. II: Shonda Inc. has been losing money for the last two years and has taken a loan to maintain its operations.

  1. A

    Statement I is the cause and statement II is the effect.

  2. B

    Statement II is the cause and statement I is the effect.

  3. C

    Both statements are independent causes.

  4. D

    Both I and II are effects of some independent causes.

5MediumMCQ

What assumption does the author make in this statement: "Jason always arrives early for meetings. He must be very organized."

  1. A

    Jason has never been late for a meeting.

  2. B

    Being organized is the only reason for arriving early.

  3. C

    Jason is always punctual for all appointments.

  4. D

    Only highly organized individuals are always early for meetings.

6MediumPassage, 4 questions

Among three people - M, N and O - exactly one is a Truth-teller, one is a Liar, and one is an Alternator. Each makes two statements. M: 'N is the truth-teller. O is the liar.' N: 'M is the alternator. O is the truth-teller.' O: 'I am the truth-teller. M is the liar.' Answer the questions that follow.

Question 1

If we assume M is the truth-teller, what happens?

  1. A

    Everything is consistent

  2. B

    It leads to a contradiction (two truth-tellers)

  3. C

    O becomes the alternator

  4. D

    N becomes the liar

Question 2

Who is the truth-teller?

  1. A

    M

  2. B

    N

  3. C

    O

  4. D

    Cannot be determined

Question 3

N's two statements turn out to be one true and one false. What does that tell us?

  1. A

    N must be the alternator

  2. B

    N must be the truth-teller

  3. C

    N must be the liar

  4. D

    N said nothing useful

Question 4

Who is the liar?

  1. A

    M

  2. B

    N

  3. C

    O

  4. D

    Cannot be determined

7MediumPassage, 4 questions

Three switches X, Y, Z are each ON (true) or OFF (false). Constraints: (i) X XOR Y is true (exactly one of X, Y is ON). (ii) Y OR Z (at least one is ON). (iii) NOT(X AND Z) - X and Z are not both ON. Build the 8-row truth table, keep the valid rows, and answer the questions that follow.

Question 1

How many of the 8 combinations are valid?

Question 2

What is X in every valid scenario?

  1. A

    Definitely ON

  2. B

    Definitely OFF

  3. C

    Possibly ON

  4. D

    Undefined

Question 3

What is Y in every valid scenario?

  1. A

    Definitely ON

  2. B

    Definitely OFF

  3. C

    Possibly ON

  4. D

    Undefined

Question 4

What is the status of Z?

  1. A

    Definitely ON

  2. B

    Definitely OFF

  3. C

    Possibly ON (could be ON or OFF)

  4. D

    Undefined

8HardPassage, 4 questions

Five propositions A, B, C, D, E are each true or false. All constraints below must hold: (i) A and B have the same truth value. (ii) B and C have opposite truth values. (iii) C and D have the same truth value. (iv) A and E have opposite truth values. (v) Exactly 3 of A, B, C, D, E are true. Answer the questions that follow.

Question 1

Expressing everything in terms of A, how do B, C, D, E relate to A?

  1. A

    B = A, and C = D = E = NOT A

  2. B

    All five equal A

  3. C

    B = C = A, D = E = NOT A

  4. D

    All five are the opposite of A

Question 2

If A were true, how many of the five would be true?

  1. A

    2

  2. B

    3

  3. C

    4

  4. D

    5

Question 3

In the valid solution, which propositions are true?

  1. A

    A and B

  2. B

    C, D and E

  3. C

    A, C and E

  4. D

    B, D and E

Question 4

In the valid solution, how many of the five propositions are true?

419 more waiting

Solve all 439 Binary Logic questions

You have previewed 20 above. Sign up free to solve those in practice mode with worked solutions, then keep going through the rest.

  • Full worked solutions
  • Per-question timer
  • Accuracy by topic
  • Progress tracking
See the 55 CAT PYQs on Binary LogicActual papers, 2017–2025, organised by year and slot

More DILR practice