# Logical Reasoning - Logical Deduction

### Exercise

"Success has many fathers, while failure is an orphan."
- (Proverb)

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

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

1.

Statements: No women teacher can play. Some women teachers are athletes.

Conclusions:

1. Male athletes can play.
2. Some athletes can play.

 A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow

2.

Statements: All bags are cakes. All lamps are cakes.

Conclusions:

1. Some lamps are bags.
2. No lamp is bag.

 A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow

3.

Statements: All mangoes are golden in colour. No golden-coloured things are cheap.

Conclusions:

1. All mangoes are cheap.
2. Golden-coloured mangoes are not cheap.

 A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow

4.

Statements: Some kings are queens. All queens are beautiful.

Conclusions:

1. All kings are beautiful.
2. All queens are kings.

 A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow

5.

Statements: Some doctors are fools. Some fools are rich.

Conclusions:

1. Some doctors are rich
2. Some rich are doctors.

 A. Only conclusion I follows B. Only conclusion II follows C. Either I or II follows D. Neither I nor II follows E. Both I and II follow