Syllogisms

Statements:

I. Some rulers are dancers.

II. All dancers are short.

Conclusions:

I. Some rulers are short.

II. All rulers are short.

Statements: All the books are papers. Some papers are journals. Some journals are calendars.

Conclusions:

1. Some journals are books.

2. Some calendars are papers.

3. Some books are journals.

4. Some books are calendars.

The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.

Statement -

I. Some guns are hammers.
II. Some hammers are bullets.
III. Some bullets are axes.

Conclusion -

I. Some axes are hammers.
II. Some bullets are guns.
III. Some axes are guns

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.

Statements:

I. Some students are bad.

II. Some bad are good.

Conclusions:

I. Some students are good.

II. All good are bad.

In the question below is given a statement followed by two conclusions numbered I and II.

Give answer

(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If neither I nor II follows
(E) If both I and II follow.

Statement -

I. All dogs are cats.
II. All rats are cats.

Conclusion -

I. No dogs are cat.
II. Some cat are rat.

Statements: All the harmoniums are instruments. All the instruments are flutes.

Conclusions:

1. All the flutes are instruments.

2. All the harmoniums are flutes.

Statements: Some papers are pens. All the pencils are pens.

Conclusions:

1. Some pens are pencils.

2. Some pens are papers.

In the question below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.

Statement -

A. All ugly things are happy. She is ugly. She is happy.
B. All nice things are flat. TVs are flat. TVs are nice things.
C. Potatoes are balls. All balls are fruits. Potatoes are fruits.

Statements: Some envelops are gums. Some gums are seals. Some seals are adhesives.

Conclusions:

1. Some envelopes are seals.

2. Some gums are adhesives.

3. Some adhesives are seals.

4. Some adhesives are gums.