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CUET Commerce Exam  >  CUET Commerce Test  >  General Test Preparation for CUET UG  >  Test: Syllogism - 2 - CUET Commerce MCQ

Syllogism - 2 - Free MCQ Practice Test with solutions, CUET Commerce


MCQ Practice Test & Solutions: Test: Syllogism - 2 (10 Questions)

You can prepare effectively for CUET Commerce General Test Preparation for CUET UG with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Syllogism - 2". These 10 questions have been designed by the experts with the latest curriculum of CUET Commerce 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Syllogism - 2 - Question 1
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Statements: All green are blue. All blue are white.

Conclusions:

  1. Some blue are green.
  2. Some white are green.
  3. Some green are not white.
  4. All white are blue.

Detailed Solution: Question 1

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From the statements:

  • All green are blue (G ⊆ B).

  • All blue are white (B ⊆ W).
    Thus G ⊆ B ⊆ W, so every green is white.

Evaluate conclusions:

  1. Some blue are green — True (since all green are blue, assuming at least one green exists).

  2. Some white are green — True (greens are a subset of white).

  3. Some green are not white — False (all green are white).

  4. All white are blue — False (we only know all blue are white, not the converse).

Correct choice: A (Only 1 and 2).

So Option A is correct

Test: Syllogism - 2 - Question 2
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Statements: All men are vertebrates. Some mammals are vertebrates.

Conclusions:

  1. All men are mammals.
  2. All mammals are men.
  3. Some vertebrates are mammals.
  4. All vertebrates are men.

Detailed Solution: Question 2

​​
 

From the statements:

  • All men are vertebrates (Men ⊆ Vertebrates).

  • Some mammals are vertebrates (Mammals ∩ Vertebrates ≠ ∅).

Check conclusions:

  1. All men are mammals — Not implied. Men could be non-mammal vertebrates.

  2. All mammals are men — Not implied.

  3. Some vertebrates are mammals — True (given directly: some mammals are vertebrates).

  4. All vertebrates are men — Not implied.

Thus, only conclusion 3 follows.

So Option C is correct

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Test: Syllogism - 2 - Question 3
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Statements: All the phones are scales. All the scales are calculators.

Conclusions:

  1. All the calculators are scales.
  2. All the phones are calculators
  3. All the scales are phones.
  4. Some calculators are phones.

Detailed Solution: Question 3

​
 

From the statements:

  • All phones are scales (P ⊆ S).

  • All scales are calculators (S ⊆ C).
    Therefore P ⊆ S ⊆ C, so P ⊆ C and S ⊆ C.

Evaluate conclusions:

  1. All calculators are scales (C ⊆ S): Not implied (we only have S ⊆ C, not the converse).

  2. All phones are calculators (P ⊆ C): True (by transitivity).

  3. All scales are phones (S ⊆ P): Not implied.

  4. Some calculators are phones: True (since all phones are calculators, assuming at least one phone exists, those are calculators).

Hence only (2) and (4) follow.

Answer: C.

So Option C is correct

Test: Syllogism - 2 - Question 4
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Statements: Some pens are books. Some books are pencils.

Conclusions:

  1. Some pens are pencils.
  2. Some pencils are pens.
  3. All pencils are pens.
  4. All books are pens.

Detailed Solution: Question 4


 

Given:

  • Some pens are books. (P ∩ B ≠ ∅)

  • Some books are pencils. (B ∩ C ≠ ∅) [let C = pencils]

Check conclusions:

  1. Some pens are pencils — Not necessarily. From “some P are B” and “some B are C,” the overlapping parts of B with P and with C may be disjoint. Not guaranteed.

  2. Some pencils are pens — Same as (1); not guaranteed.

  3. All pencils are pens — Not implied.

  4. All books are pens — Not implied.

None of the conclusions necessarily follow.

So Option E is correct

Test: Syllogism - 2 - Question 5
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Statements: All the goats are tigers. All the tigers are lions.

Conclusions:

  1. All the goats are lions.
  2. All the lions are goats.
  3. Some lions are goats.
  4. Some tigers are goats.

Detailed Solution: Question 5

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Let G = goats, T = tigers, L = lions.

Given:

  • All G are T (G ⊆ T).

  • All T are L (T ⊆ L).
    Therefore G ⊆ T ⊆ L, so G ⊆ L.

Evaluate conclusions:

  1. All goats are lions — True (G ⊆ L).

  2. All lions are goats — Not implied.

  3. Some lions are goats — True (if goats exist, they are lions).

  4. Some tigers are goats — True (since all goats are tigers, assuming goats exist).

Hence, only (1), (3), and (4) follow.

So Option B is correct

Test: Syllogism - 2 - Question 6
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Statements: All the books are pencils. No pencil is eraser.

Conclusions:

  1. All the pencils are books.
  2. Some erasers are books.
  3. No book is eraser.
  4. Some books are erasers.

Detailed Solution: Question 6

​
 

Let B = books, P = pencils, E = erasers.

Given:

  • All books are pencils: B ⊆ P.

  • No pencil is an eraser: P ∩ E = ∅.

Evaluate conclusions:

  1. All pencils are books (P ⊆ B): Not implied; we only know B ⊆ P.

  2. Some erasers are books: False; since B ⊆ P and P has no overlap with E, books cannot be erasers.

  3. No book is an eraser: True; B ⊆ P and P ∩ E = ∅ ⇒ B ∩ E = ∅.

  4. Some books are erasers: False (same reason as 2).

Hence only conclusion (3) follows.

So Option A is correct

Test: Syllogism - 2 - Question 7
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Statements: All the research scholars are psychologists. Some psychologists are scientists.

Conclusions:

  1. All the research scholars are scientists.
  2. Some research scholars are scientists.
  3. Some scientists are psychologists.
  4. Some psychologists are research scholars.

Detailed Solution: Question 7

So Option A is correct

Test: Syllogism - 2 - Question 8
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Statements:
All apples are fruits.
All fruits are healthy.

Conclusions:
1. Some apples are healthy.
2. All apples are healthy.
3. Some healthy things are fruits.
4. Some fruits are apples.

Detailed Solution: Question 8

All apples are fruits, all fruits are healthy ⇒ All apples are healthy ⇒ (1) and (2) follow.
Some healthy things are fruits (true by basic logic) ⇒ (3) follows.
(4) must hold as "all apples are fruits" implies "some fruits are apples" (assuming apples exist).

So the correct answer is Option D. 

Test: Syllogism - 2 - Question 9
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Statements:
Some fruits are mangos.
All mangos are guavas.
No guava is a banana.
Conclusions:
I. All guavas are fruits.
II. Some guavas are fruits

Detailed Solution: Question 9

Some fruits are mangos.
All mangos are guavas.
I + A => I - type of conclusion
"Some fruits are guavas".
Conclusion II is Converse of it.
All mangos are guavas
No guava is a banana.
A + E => E - type of conclusion
"No mango is a banana

So Option B is correct

Test: Syllogism - 2 - Question 10
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Statements:
No tree is an animal.
Some animals are humans.

Conclusions:
1. Some trees are humans.
2. No animal is a tree.
3. Some humans are not trees.
4. All animals are humans.

Detailed Solution: Question 10

Conclusion 1: “Some trees are humans.”

  • We know trees ∩ animals = ∅.

  • We know animals ∩ humans is nonempty, but nothing tells us that humans extend beyond the animal set.

  • It is possible (in one model) that every human is also an animal—then trees (which are disjoint from animals) cannot overlap humans.

  • Or humans could include non-animals, letting trees overlap those—but that’s only a possibility, not a necessity.
    ⇒ Conclusion 1 does not logically follow.

Conclusion 2: “No animal is a tree.”

  • “No tree is an animal” is equivalent (by symmetry) to “No animal is a tree.”

  • This holds in every case.
    ⇒ Conclusion 2 does follow.

Conclusion 3: “Some humans are not trees.”

  • From statement (2), some animals are humans.
    From statement (1), no animal is a tree.
    Therefore, those animal-humans cannot be trees.
    Hence, at least some humans are not trees.
    ⇒ Conclusion 3 does follow.

Conclusion 4: “All animals are humans.”

  • We only know “some animals are humans,” not that every animal is human.
    ⇒ Conclusion 4 does not follow.

Final answer: Conclusions 2 and 3 follow.
Choice (c).

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About this CUET Commerce Practice Test

This test contains 10 MCQs on Syllogism - 2 with detailed solutions for each question. It is part of the General Test Preparation for CUET UG course on EduRev, designed to align with the current CUET Commerce syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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