## Syllogism

#### Syllogism

Direction: In each of the question below are three statements following by three conclusions numbered I, II and III. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follows from the two statements disregarding commonly known fact.

1. Statement:
Some desks are chairs. Some chairs. Some chairs are pens. Some pens. Some pens are drawers.
Conclusions:
I. Some drawers are desks.
II. Some drawers is chairs.
III. No drawer is chair.

1. I-type statements can't be combined no conclusion follow by combined But II and III make a complementary I-E pair, Hence either I or III follows.

##### Correct Option: D

I-type statements can't be combined no conclusion follow by combined But II and III make a complementary I-E pair, Hence either I or III follows.

1. Statement:
All flowers are trees. Some trees are houses All houses are wheels.
Conclusions:
I. Some wheels are trees.
II. Some trees are flowers.
III.Some wheels are flowers.

1. Some trees are houses + All houses are wheels = I + A = I = Some trees are wheels → (I) conversion → Some wheels are trees (I). Hence I follows. All flowers are tree → (A) conversion → Some trees are flowers (I). Hence II follows. But II and III can't, be combined as they are I -type statements Hence III does not follow.

##### Correct Option: A

Some trees are houses + All houses are wheels = I + A = I = Some trees are wheels → (I) conversion → Some wheels are trees (I). Hence I follows. All flowers are tree → (A) conversion → Some trees are flowers (I). Hence II follows. But II and III can't, be combined as they are I -type statements Hence III does not follow.

1. Statement:
All windows are doors. All buildings are doors. All doors are boats.
Conclusions:
I. All windows are boats.
II. All buildings are boats.
III. Some boats are doors.

1. All windows are doors + All doors are boats = A + A = A = All windows are boats. Hence I follows. All buildings are doors + All doors are boats = A + A = A = All buildings are boats. Hence II follows. All doors are boats (A) → conversion → Some boats are doors(I). Hence III follows.

##### Correct Option: D

All windows are doors + All doors are boats = A + A = A = All windows are boats. Hence I follows. All buildings are doors + All doors are boats = A + A = A = All buildings are boats. Hence II follows. All doors are boats (A) → conversion → Some boats are doors(I). Hence III follows.

1. Statement:
All buildings are mirrors. Some mirrors are pens. No pen is paper.
Conclusions:
I. Some papers are buildings.
II. Some pens are buildings.
III. Some papers are mirrors.

1. Some mirrors are pens + No pen is paper = 1 + E = O* = Some mirrors are not papers Hence III does not follow. All buildings are mirrors + Some mirrors are pens = A + I = No conclusion Hence II and consequently I do not follow.

##### Correct Option: A

Some mirrors are pens + No pen is paper = 1 + E = O* = Some mirrors are not papers Hence III does not follow. All buildings are mirrors + Some mirrors are pens = A + I = No conclusion Hence II and consequently I do not follow.

1. Statement:
Some books are trees. All tress are roads. All roads are wheels.
Conclusions:
I. Some wheels are books.
III. Some wheels are trees.

1. Some books are trees + All tress are roads = I + A = I = Some books are roads (I) Hence II follows. Some books are trees + All roads are wheels = I + A = I = Some books are wheels → conversion → Some wheels are books (I) Hence I follows. All trees are roads + All roads are wheels = A + A = A = All trees are wheels → conversion → Some wheels are trees (I) Hence III follows.

##### Correct Option: D

Some books are trees + All tress are roads = I + A = I = Some books are roads (I) Hence II follows. Some books are trees + All roads are wheels = I + A = I = Some books are wheels → conversion → Some wheels are books (I) Hence I follows. All trees are roads + All roads are wheels = A + A = A = All trees are wheels → conversion → Some wheels are trees (I) Hence III follows.