Reasoning: Syllogism Set 5

Directions: In each of the questions below, statements are given followed by two conclusions numbered I and II. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
 

1. Statements: All cones are cylinders. All cylinders are squares. No square is a rectangle.
   Conclusions:
   I. No rectangle is a cone
   II. No cone is a square
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option A
   
2. Statements: No apple is orange. All grapes are oranges. Some apples are sweet.
   Conclusions:
   I. No apple is grape
   II. Some oranges are not apples.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option E
   II. Some oranges are not apples: For checking this, check: All oranges are apples.
   Since All oranges are apples does not follow, so Some oranges are not apples follows
   all
3. Statements: All white are black. Some red are black. No black is green.
   Conclusions:
   I. At least some green are red.
   II. All green being red is a possibility.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option B
   I. At least some green are red: is not definite
   II. All green being red is a possibility: If all green are red, than some green will be black also which is not possible.
4. Statements: Some boys are smart. Some smart are girls. All girls are pretty.
   Conclusions:
   I. All girls being boys is a possibility.
   II. Some pretty are not boys.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option A
   There is no negative statement given so all possibilities follow
   II. Some pretty are not boys:
   Now since All pretty are boys is a possibility follows, so Some pretty are not boys does not follow
5. Statements: Some planes are rails. No metro is a plane. All busses are rails.
   Conclusions:
   I. Some rails are not metro.
   II. All metro being rails is a possibility.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option E
   
   All rails are metro is not a possibility, so Some rails are not metro follows
6. Statements: All principals are students. Some teachers are students. All mothers are teachers.
   Conclusions:
   I. All teachers are mothers.
   II. No principal is teacher.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option D
   
7. Statements: No gold is silver. Some platinum is gold. Some diamonds are silver.
   Conclusions:
   I. Some diamonds are not gold.
   II. All platinum being silver is a possibility.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option A
   All diamonds are gold is not a possibility so Some diamonds are not gold follows.
   All platinum being silver is not a possibility, because then then some silver will be gold.
8. Statements: All blue are white. No white is a black. All black are red.
   Conclusions:
   I. No blue is a black.
   II. Some red is white.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option A
   
9. Statements: All Lions are tigers. All monkeys are tigers. Some tigers are cat.
   Conclusions:
   I. Some monkeys are Lions.
   II. Some cats are monkeys.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option D
   
10. Statements: Some crickets are footballs. Some footballs are hockey. All hockey are tennis.
    Conclusions:
    I. No hockey is a cricket.
    II. Some tennis are footballs.
    A) only I follows
    B) only II follows
    C) either I or II follows
    D) neither I nor II follow
    E) both I and II follow
    
    View Answer

    Option B