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# Syllogism 2

6) Statements:

I) Some cups are spoons
II) Some plates are spoons

Conclusion:

I) All plates may be cups
II) Some spoons are plates

1. Only I follows
2. Only II follows
3. Either I or II follows
4. Neither I nor II follows
5. Both I and II follow

Explanation:

From the given statements and the above diagram, it is clear that there is a possibility that all plates may be cups. Also, some spoons are plates. So, both the conclusions follow.

7) Statements:

I) Some balloons are hats
II) All hats are cakes

Conclusion:

I) All cakes are balloons
II) All balloons are cakes

1. Only I follows
2. Only II follows
3. Either I or II follows
4. Neither I nor II follows
5. Both I and II follow

Explanation:

From the given statements and the above diagram, it is clear that neither I nor II follows.

8) Statements:

I) No candy is a pizza
II) No pizza is a burger

Conclusion:

I) No candy is a burger
II) All burgers are candies

1. Only I follows
2. Only II follows
3. Only I and II follows
4. Neither I nor II follows
5. Both I and II follow

Explanation:

From the given statements and the above diagram, it is clear that there is no direct relation between the candy and burger, so neither I nor II follows.

9) Statements:

I) All cars are buses
II) All buses are trains

Conclusions:

I) Some trains are buses
II) Some trains are cars

1. Only I follows
2. Only II follows
3. Either I or II follows
4. Neither I nor II follows
5. Both the conclusions follow

Explanation:

From the given statements and the above diagram, it is clear that both the conclusions follow.

10) Statements:

I) No square is a triangle
II) All triangles are circles
III) Some rectangles are squares
IV) Some circles are rectangles

Conclusions:

I) No square is a circle
II) All rectangles being triangles is a possibility
III) All circles being squares is a possibility

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