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
- Only I follows
- Either I or II or III follows
- Only II follows
- All I, II and III follow
- None follows
Answer: E
Explanation:
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.
- Only I follows
- Either I or II or III follows
- Only IV follows
- I, II and III follow
- None follows
Answer: C
Explanation:
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
- Only II and III follow
- Only I and III
- Only III and IV follow
- Only III follows
- All the four follow
Answer: D
Explanation:
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
- Only I and IV follow
- Only III and IV follow
- Only II and IV follow
- Only I and II follow
- Only I and III follow
Answer: C
Explanation:
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
- Only II and IV follow
- Only I and III follow
- Only IV follows
- Only I and IV follow
- None of the four
Answer: E
Explanation:
From the given statements, we can make two Venn diagrams that show none of the four options follows.
Syllogism 1
Syllogism 2
Syllogism 3