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NIMCET 2027 Previous Year Questions (PYQs)

NIMCET 2027 Syllogism PYQ


NIMCET 2027 PYQ
If the statements “All chickens are birds”, “Some chickens are hens” and “Female birds lay eggs”, are all facts, then which of the following must also be a fact?
I. All birds lay eggs 
II. Some hens are birds 
III. Some chickens are not hens





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2015 PYQ

Solution


NIMCET 2027 PYQ
If there are no dancers that aren’t slim and no singers that aren’t dancers, then which statements are always true? 
Choose the correct answer





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2020 PYQ

Solution


NIMCET 2027 PYQ
Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, (i) and (ii) disregarding commonly known facts. 
Statements: 
(i) No woman teacher can play. 
(ii) Some woman teachers are athletes. 
Conclusions: 
I. Male athletes can play. 
II. Some athletes can play





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2015 PYQ

Solution


NIMCET 2027 PYQ
Statements:
Most teachers are boys.
Some boys are students.
Conclusion:
I. Some students are boys.
II. Some teachers are students.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2023 PYQ

Solution


NIMCET 2027 PYQ
Statement
No table is chair
Not a single chair is stand
Every stand is statue
Conclusion
1. Some statue which are stand are table as well
2. Some statue are not chair





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2023 PYQ

Solution


NIMCET 2027 PYQ
Statements:
All jewels are rings.
Some rings are necklaces.
Some cakes are jewels.

Conclusions:
I. Some necklaces are jewels.
II. Some rings are cakes.
III. No jewel is necklace.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2009 PYQ

Solution

From “Some cakes are jewels” and “All jewels are rings” ⇒ those cakes are rings ⇒ “Some rings are cakes” is definitely true ⇒ Conclusion II follows.

From “Some rings are necklaces” and “All jewels are rings” we cannot be sure that the necklaces are jewels, so I does not follow.

“No jewel is necklace” is also not forced; it might be true or false, so III does not follow.

So, only II follows.

NIMCET 2027 PYQ
Statements:
All actors are writers.
Some writers are dancers.
All poets are writers.

Conclusions:
I. All actors are poets.
II. Some dancers are writers.
III. Some dancers are actors.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2009 PYQ

Solution

From “Some writers are dancers” we can say some dancers are writers ⇒ Conclusion II follows.

Nothing links “actors” and “poets”, so I does not follow.

We are never told that any of the dancers are actors, so III does not follow.

So, only II follows.

NIMCET 2027 PYQ
Statements:
Some trees are branches.
All buds are branches.
All flowers are trees.

Conclusions:
I. Some branches are buds.
II. Some trees are flowers.
III. Some buds are trees.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2009 PYQ

Solution

From “All buds are branches” and assuming buds exist, we get some branches are buds ⇒ I follows.

From “All flowers are trees” and assuming flowers exist, we get some trees are flowers ⇒ II follows.

There is no link given between buds and trees, so we cannot say “some buds are trees” ⇒ III does not follow.

So, only I and II follow.

NIMCET 2027 PYQ
Statements:
Some pots are eatables.
All eatables are drinks.
No banana is pot.
Conclusions:
I. Some pots are drinks.
II. All eatables are pots.
III. Some drinks are eatables.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2009 PYQ

Solution

Check Conclusion I: “Some pots are drinks.”

We know:

Some pots are eatables.

All eatables are drinks.

So those eatables (which are pots) are definitely drinks.

Hence Some pots are drinks → TRUE
✔ Conclusion I follows.

Check Conclusion II: “All eatables are pots.”

We only know:

Some pots are eatables
But not

All eatables are pots

So this cannot be concluded.

❌ Conclusion II does NOT follow.

Check Conclusion III: “Some drinks are eatables.”

Given:

All eatables are drinks

This directly means:

Eatables ⊂ Drinks → So definitely some drinks are eatables.

✔ Conclusion III follows.

NIMCET 2027 PYQ
Statements:

(A) Some green are blue
(B) No blue is white

Conclusions:

I) Some blue are green
II) Some white are green
III) Some green are not white
IV) All white are green





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2011 PYQ

Solution

From (A):

$ \text{Some green are blue} \Rightarrow \text{intersection of green and blue is non–empty} $

So we can also say:

$ \text{Some blue are green} $

Therefore Conclusion I follows.

From (B):

$ \text{No blue is white} \Rightarrow \text{all blue are non–white} $

Combine with (A):

Those objects which are both green and blue are also not white.

So:

$ \text{Some green are not white} $

Therefore Conclusion III also follows.

For II (Some white are green) and IV (All white are green),
nothing in the statements links white to green positively. Both may or may not overlap, so these do not follow.

Hence only I and III are valid.

NIMCET 2027 PYQ
The question contains six statements followed by four sets of combinations of three. 
Choose the set in which the combinations are most logically related. 
 A. Some buildings are not sky scrapers. 
 B. Some sky scrapers are not buildings. 
 C. No structure is a skyscraper. 
 D. All skyscrapers are structures. 
 E. Some skyscrapers are buildings 
 F. Some structures are not buildings.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2024 PYQ

Solution


NIMCET 2027 PYQ
In the following question, three statements and three conclusions are given. 
Statements: 
 1. All students are intelligent. 
 2. No intelligent person is lazy. 
 3. Some lazy people are poor. 
Conclusions: 
 1. No student is lazy. 
 2. Some poor people are not intelligent. 
 3. All poor people are lazy.

 
 Find out the most appropriate conclusion(s) from the following options.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2024 PYQ

Solution

Logical Deduction: Syllogism Based Reasoning

Statements:

  1. All students are intelligent.
  2. No intelligent person is lazy.
  3. Some lazy people are poor.

Conclusions:

  1. ✅ No student is lazy. (Follows)
  2. ✅ Some poor people are not intelligent. (Follows)
  3. ❌ All poor people are lazy. (Does not follow)

✅ Final Answer: Only Conclusions 1 and 2 follow.


NIMCET 2027 PYQ
Directions for questions 69-71: In each of the 3 questions below, are given four statements followed
by four conclusions numbered I, II, III, IV. You have to take the given statements to be true if they seem
to be at variance from commonly known facts. Read all the conclusions and then decide which of the
given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some doctors are lawyers.
All teachers are lawyers.
Some engineers are lawyers.
All engineers are businessmen.

Conclusions:
I. Some teachers are doctors.
II. Some businessmen are lawyers.
III. Some businessmen are teachers.
IV. Some lawyers are teachers.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2011 PYQ

Solution

From statements:

Teachers ⊆ Lawyers

Doctors ∩ Lawyers (some common)

Engineers ∩ Lawyers (some common)

Engineers ⊆ Businessmen

Check conclusions:

I. Some teachers are doctors → Not necessarily.
No direct link between teachers & doctors. Does not follow.

II. Some businessmen are lawyers → TRUE.
Engineers ⊆ Businessmen AND some engineers are lawyers →
⇒ Some businessmen are lawyers. ✔️

III. Some businessmen are teachers → FALSE.
No connection between teachers & businessmen.

IV. Some lawyers are teachers → TRUE.
All teachers ⊆ lawyers. ✔️

NIMCET 2027 PYQ
Statements:

All plastics are glasses.
Some sponges are glasses.
All sponges are clothes.
All clothes are liquids.

Conclusions:
I. All liquids are sponges.
II. Some plastics are clothes.
III. All glasses are plastics.
IV. All liquids are clothes.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2011 PYQ

Solution

Analyze:

Plastics ⊆ Glasses

Sponges ⊆ Glasses

Sponges ⊆ Clothes

Clothes ⊆ Liquids

Now check conclusions:

I. All liquids are sponges → FALSE.
Liquids include many other things. No reverse relation.

II. Some plastics are clothes → FALSE.
Plastics ⊆ Glasses but no link to Clothes.
(No intersection shown).

III. All glasses are plastics → FALSE.
Only Plastics ⊆ Glasses, not reverse.

IV. All liquids are clothes → FALSE.
Given: All clothes ⊆ liquids, reverse is NOT true.

So none of the conclusions follow.

NIMCET 2027 PYQ
Statements:
All sands are beaches.
All shores are beaches.
Some beaches are trees.
All trees are hotels.
Conclusions:
I. Some shores are hotels.
II. All beaches are shores.
III. Some beaches are hotels.
IV. Some sands are trees.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2011 PYQ

Solution

From statements:

Sands ⊆ Beaches

Shores ⊆ Beaches

Some Beaches ⊆ Trees

Trees ⊆ Hotels

Check conclusions:

I. Some shores are hotels → FALSE.
No link between shores and trees/hotels.

II. All beaches are shores → FALSE.
Given Shores ⊆ Beaches, reverse not true.

III. Some beaches are hotels → TRUE.
Some beaches are trees, and
Trees ⊆ Hotels ⇒ those beaches are hotels ✔️

IV. Some sands are trees → FALSE.
Sands ⊆ Beaches but no link sands ↔ trees.

So only conclusion III is correct.

NIMCET 2027 PYQ
This question contains six statements followed by four sets of combinations of three. Choose the set in which the combinations are most logically related. 
 A. All falcons fly high. 
 B. All falcons are blind. 
 C. All falcons are birds. 
 D. All birds are yellow. 
 E. All birds are thirsty. 
 F. All falcons are yellow.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2024 PYQ

Solution


NIMCET 2027 PYQ
Assume that the following three statements are true:
I. All freshmen are human
II. All students are human
III. Some students think

Given the following four statements:
(1) All freshmen are students
(2) Some humans think
(3) No freshmen think
(4) Some humans who think are not students

Those which are logical consequences of I, II and III are:





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2011 PYQ

Solution

From I: All freshmen are human
From II: All students are human
From III: Some students think ⇒ therefore those students are humans who think.

Check each statement:

(1) All freshmen are students
→ NOT necessarily true. We only know freshmen ⊆ humans, students ⊆ humans. No link freshmen ⊆ students.
⇒ NOT a consequence.

(2) Some humans think
Since some students think and all students are humans ⇒ some humans think is TRUE.
⇒ CONSEQUENCE.

(3) No freshmen think
Nothing in the statements says freshmen do not think.
⇒ NOT a consequence.

(4) Some humans who think are not students
We only know some students think. We do NOT know that any thinker is outside students.
⇒ NOT a consequence.

NIMCET 2027 PYQ
Given that 
i) Some apples are blackberries. 
ii) Some doughnuts are apples. 
iii) No coconut is a doughnut. 
iv) All blackberries are coconuts. 
Which of the following statements is false?





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2013 PYQ

Solution


NIMCET 2027 PYQ
i) All G's are H's 
ii) All G's are J's or K's 
iii) All J's and K's are G's 
iv) All L's are K's 
v) All N's are M's 
vi) No M's are G's
If no P's are K's, which of the following must be true?





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2013 PYQ

Solution


NIMCET 2027 PYQ
Read the statements and then decide which of the conclusions logically follow. 
Statements: 
i) All mangoes are golden in colour. 
ii) No golden coloured things are cheap. 
Conclusions: 
i) All mangoes are cheap. 
ii) Golden coloured mangoes are not cheap.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2013 PYQ

Solution


NIMCET 2027 PYQ
Decide which of the give conclusions logically follow from from the given students(s) :
Statements:
All suns are moons.
Some moons are planets.
Conclusions :
I. All moons are suns.
II. At least some moons are planets.
  





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2019 PYQ

Solution



NIMCET 2027 PYQ
1.All chickens are birds.
2. Some chickens are hens.
3. Female birds lay eggs.
If the above three statements are facts, which of the following statement must also be a fact?

I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2019 PYQ

Solution



NIMCET 2027 PYQ
Statements:
No women teacher can play.
Some women teachers are athletes.
Conclusions:
I. Male athletes can play.
II. Some athletes can play.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2022 PYQ

Solution



NIMCET 2027 PYQ
Statements:
All mangoes are golden in colour.
No golden-coloured things are cheap.
Conclusions:
I. All mangoes are cheap.
II. Golden-coloured mangoes are not cheap.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2022 PYQ

Solution


NIMCET 2027 PYQ
Statements:
All young scientists are open-minded.
No open-minded men are superstitious.
Conclusions:
I. No scientist is superstitious.
II. No young people are superstitious.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2022 PYQ

Solution


NIMCET 2027 PYQ
Decide which of the given conclusions logically follow from the given statement(s).
Statements :        
Some codes are secrets.
All secrets are puzzles.
Conclusions :      
I. All secrets being codes is a possibility.
II. Atleast some puzzles are codes.
               





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2018 PYQ

Solution


NIMCET 2027 PYQ
Decide which of the given conclusions logically follow from the given statement(s).
Statements :         
Some metals are alloys.    
No metal is a stone. 
Conclusions :       
I. No alloy is stone. 
II. Atleast some alloys are metals.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2018 PYQ

Solution


NIMCET 2027 PYQ
Statements :        
All mangoes are golden in colour.
No golden-coloured things are cheap.
Conclusions :      
I) All mangoes are cheap.
II) Golden-coloured mangoes are not cheap.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2018 PYQ

Solution


NIMCET 2027 PYQ
Decide which of the given conclusions logically follows from the given statement(s).
Statements :         
All politicians are honest.                             
All honest are fair.
Conclusions :       
I) Some honest are politicians
II) No honest is politician
III) Some fair are politicians
IV) All fair are politicians





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2018 PYQ

Solution


NIMCET 2027 PYQ
Consider the following statements followed by two conclusions. 
Statements: 
1. Some men are great. 
2. Some men are wise 
Conclusions: 
1. Men are either great or wise. 
2. Some men are neither great nor wise.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2025 PYQ

Solution

Answer: Neither conclusion follows.

Reasoning:
From “Some men are great” and “Some men are wise,” we only know there exists at least one great man and at least one wise man (they may be the same or different).

  • Conclusion 1 (“All men are great or wise”) is not guaranteed—there could be men who are neither.

  • Conclusion 2 (“Some men are neither great nor wise”) is also not guaranteed—it's possible every man is in great or wise (or both).


NIMCET 2027 PYQ
Choose the conclusion which logically follows from the given statement(s). 
Statement :         
All scientists working in America are talented.
Some Indian scientists are working in America.
Conclusions :      
1. None of Indian scientists is talented.
2. Some talented Indian scientists have migrated to America.
3. All talented scientists are Indians.
4. Some Indian scientists are talented.
The conclusion(s) correctly drawn is/are 





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2018 PYQ

Solution


NIMCET 2027 PYQ
Consider the following arguments
"In order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor". Which one of the following is not a valid conclusion regarding the above
argument?

Note: In NIMCET 2025 Original Exam given line was missing.
"Which one of the following is not a valid conclusion regarding the above argument?"





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2025 PYQ

Solution

Answer: (1) Some teachers are not Mathematicians — NOT valid.

Easy check:

  • Teacher ⇒ College Graduate, and no graduate is poor ⇒ Teachers are not poor → (4) valid.

  • All Poets are poor; graduates aren’t poor ⇒ Poets aren’t teachers → (3) valid.

  • Some Mathematicians are Poets ⇒ they’re poor ⇒ not graduates ⇒ not teachers → (2) valid.

  • (1) doesn’t follow: we’re told nothing about teachers vs mathematicians (and there might even be no teachers). Hence (1) is not a valid conclusion.


NIMCET 2027 PYQ
Statements:
I. All cakes are ice cream
II. No ice cream is chocolate

Conclusions:
I. Some cakes are chocolate
II. No cake is chocolateChoose the correct option:





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2025 PYQ

Solution

Only Conclusion II follows. 
Reason: All cakes ⊆ ice cream and no ice cream is chocolate ⇒ no cake is chocolate. 

So I is false, II is true.

NIMCET 2027 PYQ
Statements: 
All apples are fruits. 
All fruits are tasty. 

Conclusions: 
I. All apples are tasty. 
II. Some tasty things are apples.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2025 PYQ

Solution

Answer: Both conclusions follow.

Why:
From “All apples are fruits” and “All fruits are tasty,” it follows that all apples are tasty (I).
And from “All apples are tasty,” we can validly infer the particular statement some tasty things are apples (II), via valid conversion of a universal affirmative (“All A are B ⟹ Some B are A”).


NIMCET 2027 PYQ
Statement :  All engineers are good at math.

Conclusion 1: Some people good at math are engineers.

Conclusion 2: All people good at math are engineers.





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NIMCET 2027 Previous Year PYQ NIMCET 2027 NIMCET 2025 PYQ

Solution

Answer: Only Conclusion 1 follows.

Reasoning:
Given “All engineers are good at math” ($E \to M$):

  • It implies some good-at-math people are engineers (since at least one engineer would then be in the math-good group) → Conclusion 1 follows.

  • It does not imply everyone good at math is an engineer ($M \to E$ is not guaranteed) → Conclusion 2 does not follow.



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