Syllogism 1 | Hamaraguru

Syllogism 1 | Hamaraguru

In each of the questions below, two statements are given followed by two conclusions numbered (a) and (b). You have to take the 2 statements to be true even if they seem to be at variance from the commonly known facts & then decide which of the given conclusions logically follows from the given statements disregarding the commonly known facts.
Give answer (a) if only conclusion (a) follows.
Give answer (b) if only conclusion (b) follows.
Give answer (c) if either conclusion (a) or (b) follows.
Give answer (d) if neither conclusion (a) nor conclusion (b) follows.
Give answer (e) if both conclusions (a) and (b) follows.

1. Statements:
All stones are pebbles.
All pebbles are rocks.
Conclusions:
a) All stones are rocks.
b) All rocks are pebbles.

2. Statements:
All kings are rulers.
Some rulers are queens.
Conclusions:
a) Some kings are queens.
b) At least some queens are rulers.

3. Statements:
Some gardens are parks.
Some parks are areas.
Conclusions:
a) At least some areas are parks.
b) No garden is an area.

4. Statements:
No letter is a fax.
All messages are faxes.
Conclusions:
a) No message is a letter.
b) At least some faxes are messages.

5. Statements:
Some boards are plains.
No plain is a square.
Conclusions:
a) All squares are boards.
b) All plains are boards.
 
6. Statements:
No bank is a school.
Some schools are colleges.
Conclusions:
a) Some colleges are definitely not schools.
b) All banks being colleges is a possibility.

7. Statements:
Some carts are trolleys.
All baskets are trolleys.
Conclusions:
a) At least some baskets are carts.
b) All trolleys are baskets.


Statements:
All fruits are vegetables.
All vegetables are plants.
No plant is a root.

8. Conclusions:
a) All fruits are plants.
b) No root is a vegetable.

9. Conclusions:
a) No fruit is a root.
b) At least some roots are vegetables.

10. Statements:
Some calculators are phones.
No phone is an eraser.
Conclusions:
a) No calculator is an eraser.
b) Some calculators are definitely not phones.

Answer Key:
1. a    
2. b    
3. a    
4. e    
5. d
6. b    
7. d    
8. e    
9. a    
10. b