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Syllogism 4

16) Statements:

I) Some roads are highways
II) Some highways are waterways
III) Some waterways are airways

Conclusions:

I. Some airways are roads
II. Some waterways are roads
III. Some airways are highways
IV. Some roads are airways

  1. Only I follows
  2. Either I or II or III follows
  3. Only II follows
  4. All I, II and III follow
  5. None follows

Answer: E

Explanation:

Syllogism

A conclusion is true if it is true in any possible Venn diagram. From the above Venn diagram, we can say that none of the above conclusions follows.


17) Statements:

I) All boots are slippers
II) No slipper is a shoe
III) All shoes are caps

Conclusions:

I. Some boots are caps.
II. All slippers are boots.
III. Some caps are slippers.
IV. All boots are slippers.

  1. Only I follows
  2. Either I or II or III follows
  3. Only IV follows
  4. I, II and III follow
  5. None follows

Answer: C

Explanation:

Syllogism

From the given statements and the above diagram, it is clear that only IV follows.


18) Statements:

No window is a cat.
All the cats are dogs.

Conclusions:

I. No window is a dog
II. No dog is a window
III. Some dogs are cats
IV. All the dogs are cats

  1. Only II and III follow
  2. Only I and III
  3. Only III and IV follow
  4. Only III follows
  5. All the four follow

Answer: D

Explanation:

Syllogism

From the given statements, two Venn diagrams can be made and from both the diagrams it is clear that only III follows.


19) Statements:

I). All the pens are scales
II). All the scales are calendars

Conclusions:

I. All the calendars are scales
II. All the pens are calendars
III. All the scales are pens
IV. Some calendars are pens

  1. Only I and IV follow
  2. Only III and IV follow
  3. Only II and IV follow
  4. Only I and II follow
  5. Only I and III follow

Answer: C

Explanation:

Syllogism

From the given statements, we can make a single Venn diagram that shows only II and IV follow.


20) Statements:

I. Some tables are towers
II. Some towers are rats

Conclusions:

I. Some tables are rats
II. Some rats are tables
III. All the rats are towers
IV. All the towers are tables

  1. Only II and IV follow
  2. Only I and III follow
  3. Only IV follows
  4. Only I and IV follow
  5. None of the four

Answer: E

Explanation:

Syllogism

From the given statements, we can make two Venn diagrams that show none of the four options follows.



Syllogism 1
Syllogism 2
Syllogism 3





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