## Syllogism

#### Syllogism

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

1. Statement:
All goats are flowers.
No flower is branch.
Some branches are roots.

Conclusions:
I. Some roots are goats.
II. No roots are goat.

1. All goats are flowers + No flower is branch = 1 + A = E = E = No goat is branch + Some branches are roots = E + 1 = 0* = Some roots are not goats. Hence neither I nor II definitely follows However, since the two from a complementary I - E pair, either of two must follow.

##### Correct Option: C

All goats are flowers + No flower is branch = 1 + A = E = E = No goat is branch + Some branches are roots = E + 1 = 0* = Some roots are not goats. Hence neither I nor II definitely follows However, since the two from a complementary I - E pair, either of two must follow.

1. Statement:
All pots are rings.
All bangles are rings.
All rings are paints.

Conclusions:
I. Some paints are pots.
II. Some bangles are paints.

1. All pots are rings + All rings are paints = A + A = A = All pots are paints → conversion → Some paints are pots (I) Hence I follows. All bangles are rings + All rings are paints = A + A = A = All bangles are paints → implication → Some bangles are paints (I) Hence II follows.

##### Correct Option: E

All pots are rings + All rings are paints = A + A = A = All pots are paints → conversion → Some paints are pots (I) Hence I follows. All bangles are rings + All rings are paints = A + A = A = All bangles are paints → implication → Some bangles are paints (I) Hence II follows.

1. Statement:
All pictures are paintings.
All paintings are photographs.
Some photographs are designs.

Conclusions:
I. Some paintings are designs.
II. Some photographs are movies.

1. All paintings are photographs + Some photographs are designs = A + I = No conclusion Hence I does not follow. Some photographs are designs + Some designs are movies = I + I = No conclusion Hence II does not follows.

##### Correct Option: D

All paintings are photographs + Some photographs are designs = A + I = No conclusion Hence I does not follow. Some photographs are designs + Some designs are movies = I + I = No conclusion Hence II does not follows.

1. Statement:
Some tablets are capsules.
All capsules are syrups.
Some syrups are medicines

Conclusions:
I. Some syrups are powders.
II. Some syrups are tablets.

1. Some syrups are medicines + All medicine are powder = I + A + I = Some syrups are powders.
Hence I follow. Some tablets are capsules + All capsules are syrups = I + A + I = Some tablets are syrups → conversion → Some syrups are tablets (I). Hence II follows.

##### Correct Option: E

Some syrups are medicines + All medicine are powder = I + A + I = Some syrups are powders.
Hence I follow. Some tablets are capsules + All capsules are syrups = I + A + I = Some tablets are syrups → conversion → Some syrups are tablets (I). Hence II follows.

1. Statement:
All benches are cots.
No cot is lamp.
Some lamps are candles.

Conclusions:
I. Some cots are benches.
II. Some candles are cost.

1. All benches are cots (A) → conversion → Some cots are benches (I) Hence follows. No cot is lamp + Some lamps are candles = I + E = O* = Some candles are not cots Hence II does not follow.

##### Correct Option: A

All benches are cots (A) → conversion → Some cots are benches (I) Hence follows. No cot is lamp + Some lamps are candles = I + E = O* = Some candles are not cots Hence II does not follow.