NIMCET 2027 Syllogism Previous Year Questions (PYQs) – Page 2 of 4
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Showing 35 questions
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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Solution
In
the following question, three statements and three conclusions are given.
Find out the most appropriate conclusion(s) from the following options.
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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Solution
Logical Deduction: Syllogism Based Reasoning
Statements:
- All students are intelligent.
- No intelligent person is lazy.
- Some lazy people are poor.
Conclusions:
- ✅ No student is lazy. (Follows)
- ✅ Some poor people are not intelligent. (Follows)
- ❌ All poor people are lazy. (Does not follow)
✅ Final Answer: Only Conclusions 1 and 2 follow.
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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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. ✔️
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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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.
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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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.
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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Solution
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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2
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4
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.
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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Solution
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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Solution
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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Solution
NIMCET 2027
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NIMCET 2027
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and More.
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