Binary Logics CAT PYQs , 55 Questions with Solutions

Master Binary Logics for CAT 2026 with practice questions and detailed explanations

CAT 2025

Binary Logic Puzzles

Binary logic puzzles involve truth-tellers and liars or Yes/No type conditions, where you deduce who is lying or truthful.

Observations from CAT 2017–2024:

  • These puzzles were common in older CATs but did not appear in official papers from 2017–2024.
  • LR sets in CAT 2017–2019 focused more on arrangements, scheduling, etc.
  • CAT 2020–2024 continued with hybrid puzzles and DI, but no classic binary-logic sets were included.
  • 0 questions/sets of this type appeared in this period.

Key Insights:

  • Exam setters may consider binary logic somewhat predictable, or its reasoning may be embedded into other puzzles.
  • Understanding binary logic is still useful, as similar deductive reasoning can be applied in other puzzle types, even if standalone “truth/lie” puzzles are absent.

Weightage Over Past Years

YearQ.NODifficulty Level
20255Medium
202410Medium
20235Medium
202211Medium
202113Medium
20206Medium
20193Medium
20182Medium

CAT 2025 Binary Logics questions

Question 1

Slot-2

Choose the correct word from the given alternatives which bears the same relationship to the third word as the first two.

Anaemia : Blood : : Anarchy : ?

Lawlessness

Monarchy

Government

Disorder

Show Solution

Question 2

Slot-2

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

Assertion (A): Seeds should be treated with fungicide solution before being sown. Reason (R): Seeds do not germinate, unless treated with fungicide solution.

In the light of the above statements, choose the correct answer from the options given below:

Both (A) and (R) are true and (R) is the correct explanation of (A)

Both (A) and (R) are true but (R) is not the correct explanation of (A)

(A) is true but (R) is false

(A) is false but (R) is true

Show Solution

Question 3

Slot-2

The following question consists of a statement and arguments I and II. Choose the best option.

Statement: Should the renowned businessmen of the country who have committed crime unknowingly be given special treatment?

Argument I: Yes. Renowned businessmen do not commit crime intentionally. Argument II: No, it is our policy that everybody is equal before law.

Only argument I is strong

Only argument II is strong

Neither argument I nor II is strong

Both arguments I and II are strong

Show Solution

Question 4

Slot-2

Consider the statement given below followed by two assumptions and decide which of the assumptions is/are implicit in the statement.

Statement: The company has recently announced a series of incentives to the employees who are punctual and sincere.

Assumption I: Those who are not punctual at present may get motivated by the announcement. Assumption II: The productivity of the company may increase.

Only assumption I is implicit

Only assumption II is implicit

Neither assumption I nor II is implicit

Both assumptions I and II are implicit

Show Solution

Question 5

Slot-2

A statement followed by two conclusions numbered I and II is given below. Assume everything in the statement to be true, consider the two conclusions, and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

Statement: Any young man who makes dowry a condition for marriage discredits himself and dishonours womanhood.

Conclusion I: Those who take dowry in marriage should be condemned by society. Conclusion II: Those who do not take dowry in marriage respect womanhood.

Only conclusion I follows

Only conclusion II follows

Both I and II follow

Neither I nor II follows

Show Solution

CAT 2024 Binary Logics questions

Question 1

Slot-1

Bald is related to Blond in the same way as Barren is related to?.

Vegetation

Farm

Fertile

Inhabited

Show Solution

Question 2

Slot-1

Consider the statement given below followed by two conclusions. Decide which of the conclusions follows from the information given in the statement.

Statement: Domestic demand has been increasing faster than production of indigenous crude oil.

Conclusions: I. Crude oil must be imported. II. Domestic demand should be reduced.

Only Conclusion I follows

Only Conclusion II follows

Either Conclusion I or II follow

Neither Conclusion I nor II follow

Show Solution

Question 3

Slot-1

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : A person with blood group 0 is supposed to be an universal donor. Reason (R): Group O does not contain any antigens.

In the light of the above statements, choose the correct answer from the options given below:

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

Assertion (A) is true, but Reason (R) is false.

Assertion (A) is false, but Reason (R) is true.

Show Solution

Question 4

Slot-1

Consider the statement given below and the following assumptions and decide which of the assumptions is/are implicit in the statement.

Statement: You know that your shirt is excellent when people ask about your tailor who tailored the shirt.

Assumptions: I. People do not ask about your tailor if your shirt is not good . II. People want to know the criteria of an excellent shirt.

Only Assumption I is implicit

Only Assumption II is implicit

Neither Assumption I nor II is implicit

Both Assumptions I and II are implicit

Show Solution

Question 5

Slot-1

If 'blue means green', 'green means white', 'white means yellow', 'yellow means black', 'black means red' and 'red means brown', then what is the colour of milk?

Black

Brown

Yellow

Green

Show Solution

Question 6

Slot-1

In a certain code language, if HAND is written as SZMW, then what will be the code of MILK?

ORNP

PNRO

NROP

RNOP

Show Solution

Question 7

Slot-1

The following question consists of a statement and arguments I and II. Choose the best option:

Statement: Should there be a compulsory medical examination of both the man and the woman before they marry each other?

Argument I: No, this is an intrusion to the privacy of an individual and hence cannot be tolerated.

Argument II: Yes, this will substantially reduce the risk of giving birth to children with serious ailments.

Only Argument I is strong

Only Argument II is strong

Neither Argument I nor Argument II is strong

Both Argument I and Argument II are strong

Show Solution

Question 8

Slot-1

Statement: Company has made it Compulsory to mark online attendance using facial recognition software Notice in an office. Assumptions:

  1. Notice will be read
  2. Online attendance will benefit the company

only 1

only 2

Neither

both

Show Solution

Question 9

Slot-1

Three thieves M, B and V were caught in a case of robbery. All three of them gave one statement each and it is known that only one of them is telling the truth. M: I am innocent B: I am innocent V: B is involved in the robbery Find out who was involved in the robbery.

M

B

V

Cannot be determined

Show Solution

Question 10

Slot-1

Narmada Bachao Andolan : Medha Patkar : : Bhudan Andolan : ?

Vinoba Bhave

Kailash Satyarthi

None of these

Jawahar Lal Nehru

Show Solution

CAT 2023 Binary Logics questions

Question 1

Slot-1

Give a statement followed by two assumptions numbered I and II. Consider the statement and the following assumptions and decide which of the assumptions is/are implicit in the statement. Statement: All the species of plants and animals are part of biodiversity and ecosystems and play major role in the overall health of the environment. Assumptions: I. Preserve or create a backyard habitat. Save as many native plants as you can when building or landscaping. II. One of the major goals of sustainability is to preserve biodiversity. All life on Earth is connected through the flow of energy (planetary food web), and each time a species becomes endangered or lost to extinction, one more part of that energy flow is lost.

Neither assumption I nor II is implicit.

Both assumption I and II are implicit.

Only assumption I is implicit.

Only assumption II is implicit.

Show Solution

Question 2

Slot-1

Statement: The Government has decided to construct an eight-lane super highway across the state to facilitate fast movement of vehicles. Which of the following can be an assumption which is implicit in the above statement.

The Government has adequate resources to construct the proposed super highway

The people of the state may protest against the Government's decision as their farm land will be taken over the Government for constructing the highway.

The Government may find it difficult to enrol a suitable contractor for constructing the highway.

There is no other highway which can be used for transportation of goods across the state

Show Solution

Question 3

Slot-1

Effect: The temple at the religious site wears a deserted look with the number of devotees trickling down. Which of the following can be a possible causes of the above effect?

A structural engineer had visited the temple a month back and had declared the structure unsafe.

The temple is facing drastic depletion of its funds which had accumulated over the years due to offerings made by devotees.

The local corporation decided to donate a huge amount of money to the temple for its renovation.

The village housing the religious site has qualified priests to perform religious ceremonies.

Show Solution

Question 4

Slot-1

There has been a considerable drop in sales of four wheelers during the past six months when compared to the number of four wheelers sold during this period last year. Which of the following can the probable cause of the above phenomenon? (A) The govt. has imposed higher excise duty on four wheelers at the beginning of this year. (B) The petrol prices have risen considerably during the past eight months. (C) The rate of interest on home and car loans have been rising for the past seven months.

All (A), (B) and (C)

(A) and (C) Only

(B) and (C) Only

(B) Only

Show Solution

Question 5

Slot-1

Statement: The Indian Council of Medical Research issued a warning two years ago, based on studies conducted in hospitals that resistance to antibiotics was found in 50% of patients. A large number of infants were dying due to infections that did not respond to treatment. Courses of Action: I. The revision of antibiotics classes by the World Health Organisation in its list of essential medicines is a welcome step in the global initiative to push back against antimicrobial resistance, the phenomenon of bacteria becoming resistant even to the most potent drugs. II. Close scrutiny of these by national stewardship programmes such as those initiated by the ICMR is needed. Which of the following will be the course of action?

Only I

Both I and II

Either I or II

Only II

Show Solution

CAT 2022 Binary Logics questions

Question 1

Slot-1

A statement is followed by assumption I and II. An assumption is supposed to be taken for granted. Consider the statement and the assumptions and decide which of the assumptions is implicit in the statement.

Statement: The Government has decided to relocate all the brick kilns away from the city.

Assumption I: Pollution in the city is being caused only because of the brick Kilns in the city

Assumption II: Workers shall be able to travel daily to the new site of Brick Kilns

Only assumption I is implicit

Only assumption II is implicit

Either assumption I or assumption II is implicit

Neither of the assumption is implicit

Show Solution

Question 2

Slot-1

In the following question, an assertion is followed by two reasons R1 and R2. Read the assertion and the reasons and find which of the reasons is possible.

Assertion: The 10th class result is very poor this year.

R1: Number of students in 10th class have increased considerably

R2: The students of 10th class belong to different sections of society.

Only R1 is possible reason

Only R2 is possible reason

Neither R1 nor R2 are the reasons

If both R1 and R2 are the possible reasons

Show Solution

Question 3

Slot-1

Statement: Over consumption of coke has been linked to many unpleasant side effects, including hair loss. Which of the following, if true, does the most to weaken the author's claim?

French Fries, which accompany the coke almost every time, causes hair loss according to the latest research.

Most soft drinks contain excessive amounts of sugar which is strongly associated with premature aging.

Average consumption of coke in people who have healthy hair growth is much less than that of people who suffer from hair loss.

Caffeine is said to be the strongest hair loss catalyser.

Show Solution

Question 4

Slot-1

Read the statements carefully and determine if the two statements are independent causes, effects of independent causes or a common cause. Statement 1: Ramesh is throwing a party to his friends. Statement 2: Ramesh recently got a promotion.

Statement 1 is the cause and statement 2 is the effect.

Statement 2 is the cause and statement 1 is the effect.

Both are independent causes.

Both are effects of independent causes.

Show Solution

Question 5

Slot-1

Statement: Newly inducted ministers were advised to comment carefully so that public doesn't question the abilities of the government. Assumption: I- Public have no trust in the government. II- Commenting carefully will help win next elections. III- The newly inducted ministers were inexperienced.

I and II are implicit.

Only III is implicit

II and III are implicit

None of these

Show Solution

Question 6

Slot-1

Read both statements and decide which answer choice correctly depicts the relationship. I: The electricity bills for households have increased. II: The government raised the tariffs for electricity consumption by 10%.

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

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

Both statements are independent causes.

Both I and II are effects of some independent causes

Show Solution

Question 7

Slot-1

A, B, C, D, E and F are six members of a family. A is mother of B, who is the husband of D. F is the brother of one of the parents of C. D is the daughter in law of E and has no siblings. C is son of D. How is C related to A ?

Son

Grandson

Brother

Brother in law

Show Solution

Question 8

Slot-1

In a village, there are three types of people: Knights, Knaves, and Jokers. Knights always tell the truth, Knaves always lie, and Jokers can either tell the truth or lie. You encounter three villagers, A, B, and C. A: "B is a Knight." B: "C is a Knave." C: "A and B are of the same type." Determine the types of A, B, and C.

A is a Knight, B is a Knave, C is a Joker.

A is a Knave, B is a Knight, C is a Joker.

A is a Knight, B is a Joker, C is a Knave.

A is a Joker, B is a Knight, C is a Knave.

Show Solution

Question 9

Slot-1

Mumbai is a very congested city and to overcome this problem, government had built a new city "Navi Mumbai" near to the Mumbai city in 1972. I. The population density in Mumbai has not reduced much even after the creation of Navi Mumbai. II. Navi Mumbai currently is less populated than Mumbai

Only inference I is implicit

Only Inference II is implicit

Either statement I or II is implicit

Neither statement I or II is implicit

Show Solution

Question 10

Slot-1

Following the directions of Delhi High Court, the ECI has now directed all the political parties not to use public funds or public place to carry out any activity that would amount to propagating the party symbol Statement I: Earlier all parties used to use public funds for propagating party symbols. Statement II: The directions of the ECI are binding on the political parties. Statement III: Propagating party symbol influences the voters.

I only

II only

II and III only

None of these

Show Solution

Question 11

Slot-1

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A) : Money can resolve most of our problems.

Reason (R) : We are living in a hierarchical society.

In the light of the above statements, choose the most appropriate answer from the options given below:

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Both (A) and (R) are correct but (R) is NOT the correct explanation of (A)

(A) is correct but (R) is not correct

(A) is not correct but (R) is correct

Show Solution

CAT 2021 Binary Logics questions

Question 1

Slot-1

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Solar energy is in abundance on the planet earth. Reason R: Solar energy is available only in summer season. In light of the above statements, choose the correct answer from the options given below.

Both A and R are true and R is the correct explanation of A

Both A and R are true but R is not the correct explanation of A

A is true but R is false

A is false but R is true

Show Solution

Question 2

Slot-1

One statement and two conclusions for the statement are given. Read the statement, think logically about the conclusions and mark the correct option which follows the statement. Statement: Socialization has an outcome. Conclusion: A. The persons being socialized acquire new skills. B. Socialization does not lead to change in behaviour.

Only conclusion A follows

Only conclusion B follows

Either A or B follows

Neither A nor B follows

Show Solution

Question 3

Slot-1

The given statement is followed by two arguments-I and II. Decide which argument(s) is/are correct for the statement. Statement: We should plant more trees. Argument I. Trees help in reducing pollution. Argument II. Trees occupy too much of the earth's space.

I is true

II is true

Either I or II

Neither I nor II

Show Solution

Question 4

Slot-1

In analogy, you are required to guess the relation between the two given words and fill in the blanks after finding the similar relationship by choosing any word from the options given below: BEES : SWARM :: LIONS : ____

SCHOOL

PACK

PRIDE

BAND

Show Solution

Question 5

Slot-2

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement. 'Whenever I go shopping, I end up spending more'

I went for shopping means I end up spending less

I did not go for shopping: implies I did not spend more

I did not spend more, means I did not go for shopping

Both (a) and (b)

Show Solution

Question 6

Slot-2

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement The slip fielder can catch a ball, only if the batsman is brought to the front foot and he tries to hit the ball

The batsman is brought to the front foot. Hence the slip fielder cannot catch the ball

The batsman did not try to hit the ball. Hence the slip fielder cannot catch the ball

The fielder caught the ball, means that the batsman was brought to the front foot and he did not try to hit the ball

All the above

Show Solution

Question 7

Slot-2

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement If I drive a car, then it is a BMW or a Skoda.

I am driving a car, means that it is a BMW or a Skoda

The car is neither BMW nor a Skoda, hence I do not drive a car.

I drive a car but it is not a Skoda, means it is a BMW

All the above

Show Solution

Question 8

Slot-2

The question below consists of a main statement followed by four options. Select the one that logically follows the main statement Unless I score well, I will not get selected

I was not selected, means I did not score well

I am selected, implies I scored well

I did not score well, means I will not be selected

Both (b) and (c)

Show Solution

Question 9

Slot-2

The question below consists of a main statement followed by two statements. Select the one that logically follows the main statement 'Private property trespassers will be prosecuted': A notice on a plot of land. Given below are two statements Statement I: The passer-by may read the notice and may not trespass. Statement II: The people are scared of prosecution In light of the above statements, choose the most appropriate answer from the options given below:

Only Statement I is implicit

Only Statement II is implicit

Both Statements I and II are implicit

Neither I nor II are implicit

Show Solution

Question 10

Slot-2

In the following questions find out the alternative which will replace the question mark. CHICKEN : CHICK :: PIG : ?

Lamb

Piglet

Foal

Cub

Show Solution

Question 11

Slot-2

In a certain language ABCD is coded as CABF FGHI is coded as HFGK UVWX is coded as WUVZ How is KLMN coded?

KLMP

MKLP

MNOP

MNPO

Show Solution

Question 12

Slot-1

For the assertion A and the reason R given below, choose the correct alternative: A- Copper is used to make electric wires. R- Copper has very low electric resistance.

A is true, R is false.

A is false, R is true.

Both A and R are true, and R is not the correct explanation of A.

Both A and R are true, and R is the correct explanation of A.

Show Solution

Question 13

Slot-1

Pointing at Ankit, Shruti said: "his father is the only son of my grandfather." How is Ankit related to Shruti?

Sister

Daughter

Mother

Brother

Show Solution

CAT 2020 Binary Logics questions

Question 1

Slot-1

Statement I. Unemployment situation in Country X has worsened over the past couple of years. Statement II. The government of country X has been promoting automation in various sectors to achieve higher growth rates.

(These may have a cause and effect relationship or may have independent causes or be the effects of independent causes.)

Statement I is the cause and statement II is its effect

Statement II is the cause and statement I is its effect

Both statements I and II are independent causes

Both statements I and II are effects of independent causes

Both statements I and II are effects of some common cause

Show Solution

Question 2

Slot-1

Statement: Surrender and join mainstream for safe future, security agencies tell militants

(I) Boosted by the success against the rank and file of militants in recent times, security forces have jointly appealed to the insurgents and their over ground workers to surrender and join the mainstream. (II) The Army Major speaks about the stunning mission in a new book being brought out on the first anniversary of surgical strikes in Pakistan occupied Kashmir. (III) Security forces are supposed to rehabilitate and help a militant join the mainstream if he is arrested or surrenders, provided he is not involved in any heinous crime.

Which of the following is not-in-line with the above statement?

Only (III)

Only (II)

Only (I)

Both (I) and (III)

None of these

Show Solution

Question 3

Slot-1

Statement: As an emerging economic superpower, it is quite tragic that more than one in three children in India are stunted. Stunting is associated with an underdeveloped brain, with long-lasting harmful consequences, and increased risks of nutrition-related chronic diseases, such as diabetes, hypertension, and obesity in future. Thus, stunting can be classified by itself as an illness as it leads to negatively affecting the present and future of the child.

(I) Higher economic growth and increased spending on nutrition access programmes have not resulted in a proportionate decrease in child malnutrition or stunting. (II) Multiple researchers have proven the link between illness and malnutrition/stunting in children.

Both I and II strengthen

I strengthens while II weakens

II strengthens while I weakens

Statement I strengthens while Statement II is neutral

Both I and II weaken

Show Solution

Question 4

Slot-1

Statement: Some workers of the company were caught smoking in the company lawn during office time.

Courses of action: I. The management of the company should immediately fire those employees who were caught smoking during office hours. II. Warning should be issued to those employees who were caught smoking during office hours.

if only I follows

if only II follows

if either I or II follows

if neither I nor II follows

if both I and II follow

Show Solution

Question 5

Slot-1

Statement: A huge truck collided with an elephant trying to cross the highway road running across the forest causing a heavy traffic jam.

Courses of action: I. High voltage electric wires should be used to fence all the state highways. II. People should be advised to avoid using the route affected by collision till the highway is cleared.

if only I follows

if only II follows

if either I or II follows

if neither I nor II follows

if both I and II follow

Show Solution

Question 6

Slot-1

Statement: Raising a stink: The waste bomb is ticking for India

(I) With enormous amount of trash generated annually, landfills are fast running out of space; and there will be no space on land for more dump sites. (II) The economy promotes production. The plastic trader still wants to produce more. To counter this, we need strong material recovery mechanisms. (III) Not too long ago, recycling was a way of Indian life. Rapid urbanisation and rising incomes triggered wasteful consumption.

Which of the following can be the repercussion of the above statement?

Only (III)

Only (II)

Only (I)

All (I), (II) and (III)

None of these

Show Solution

CAT 2019 Binary Logics questions

Question 1

Slot-1

A statement is followed by two Courses of action I and II. Assume everything in the statement to be true. Decide which of the two given suggested courses of action logically follows for pursuing. Statement: Since 2018, the bulk of India's population has comprised of young working people, much more than the dependent population, children below 5 yr of age and old people above 65 yr of age. This trend will continue for the next 55 yr. Courses of Action I. There will be a huge increase in the GDP of the country. II. According to a report by UNFPA, this population will be able to contribute effectively, if good health facilities, education and proper infrastructure are provided to the whole population.

None follows

Only I follows

Only II follows

Both I and II follow

Show Solution

Question 2

Slot-1

In a certain code language, if INDIA is written as 95491, then JAPAN is written as

81815

11614

11715

101614

Show Solution

Question 3

Slot-1

A + B means A is sister of B, A/B means A is son of B, A = B means A is brother of B, A @ B means A is father of B. Which of the following shows M is grandson of P?

P = Q/M

P @ B = S @ M

P @ Q + M

P/Q/S + M

Show Solution

CAT 2018 Binary Logics questions

Question 1

Slot-1

Three lamps A, B and C are covered by clothes absorbing water, petrol and oil respectively. Which of the following alternatives best represent the situation.

A-off, B-glows and C-off

A-off, B-glows and C-glows

A-glows, B-glows and C-off

All off

Show Solution

Question 2

Slot-1

There are three cartons, exactly one of which has money. On each box there is a statement, exactly one of which is true. Box 1: The money is in this box. Box 2: The money is not in this box. Box 3: The money is not in Box 1. Which box has money?

Box 1

Box 2

Box 3

Can't be determined

Show Solution

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