All our avid followers who actively participated in PrepLadder's Syllogism Quiz, here are the detailed solutions for every question:

 

Q-1) Statements : 

  • Some symbols are figures.
  • All symbols are graphics.
  • No graphic is a picture.

Conclusions :

I. Some graphics are figures.

II. No symbol is a picture.

Answer Options:

(1) Only conclusion I follows

(2) Only conclusion II follows

(3) Either conclusion I or II follows

(4) Neither conclusion I nor II follows

(5) Both conclusion I and II follow.

Solution: (5)

 

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Q-2) Statements :

  • All vacancies are jobs.
  • Some jobs are occupations.

Conclusions :

I. All vacancies are occupations.

II. All occupations being vacancies is a possibility.

Answer Options:

(1) Only conclusion I follows

(2) Only conclusion II follows

(3) Either conclusion I or II follows

(4) Neither conclusion I nor II follows

 (5) Both conclusion I and II follow.

Solution: (2)

 

 

Q-3) Statements:

  • No group is people.
  • All people are animals.
  • All animals are plants.
  • All plants are roots.

Conclusions:

I. No group is a plant.

II. All people are plants.

III. At least some groups are plants.

IV. All plants are groups.

Answer Options:

1) Only II follows

2) Only I and IV follow

3) Only II and III follow

4) Only III and IV follow

5) None of these

Solution: (5)

All people are animals (A) + All animals are plants (A) = A + A = A = All people are plants.

Hence, conclusion II follows.

Now, No group is people (E) + All people are plants (A) = E + A = O* = Some plants are not groups. Thus, conclusion I, III and IV do not follow.

However, I and III make a complementary E-I pair.

Hence, either I or III follows.

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Q-4) Statements:

  • All marks are grades.
  • No grade is a score.
  • All letters are scores.
  • All scores are characters.

Conclusions:

 I. At least some letters are grades.

II. At least some scores are grades.

III. At least some characters are marks.

IV. Some characters are letters.

Answer Options:

1) Only II and IV follow

2) Only IV follows

3) Only I and III follow

4) All I, II, III and IV follow

5) None follows

Solution: (2)

No grade is a score -> conversion -> No score is a grade.

Now, All letters are scores (A) + No score is a grade (E) = A + E = E = No letter is a grade.

Hence, conclusion I does not follow.

And conclusion II does not follow from statement II.

Again, All marks are grades (A) + No grade is a score (E) = A + E = E = No mark is a score (E) + All scores are characters (A) = E + A = O* = Some characters are not marks.

Hence, conclusion III does not follow.

But All letters are scores (A) + All scores are characters (A) = A + A = A = All letters are characters ->conversion ->Some characters are letters.

Hence, conclusion IV follows.

 

Q 5) Statements :

  • All forces are energies.
  • All energies are powers.
  • No power is heat.

Conclusions :

I. Some forces are definitely not powers.

II. No heat is forces.

Answer Options:

(1) Only conclusion I follows

(2) Only conclusion II follows

(3) Either conclusion I or II follows

(4) Neither conclusion I nor II follows

(5) Both conclusion I and II follow.

Solution:  (2)

 

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