First Premise is Universal Affirmative (A-type).
Second Premise is Particular Affirmative (I-type).
Some men are stenographers. ? All stenographers are lazy.
I + A ? I-type of Conclusion "Some men are lazy".
This is Conclusion II.
Mary always tells the truth. Therefore, both Mary and Ann have cats. Clearly, Ann is lying. Thus, all the Conclusions I, II and III follow.
Both the Premises are Universal Affirmative (A?type).
All squares are rectangles. ? All rectangles are polygons.
A + A ? A?type of Conclusion "All squares are polygons."
Thus, square is rectangle (given) and square is polygon (derived).
Both the Premises are Universal Affirmative (A-type).
All peacocks are crows. ? All crows are birds.
A + A ? A-type of Conclusion "All peacocks are birds."
This is Conclusion I.
First Premise is Particular Affirmative (I?type).
Second Premise is Universal Affirmative (A?type).
All insects are ants. ? Some ants are flies.
A + I ? No Conclusion
Conclusion II is the Converse of the second Premise.
First Premise is Universal Affirmative (A?type).
Second Premise is Universal Negative (E?type).
All mangoes are golden in colour. It implies that all mangoes without an exception are golden in colour.
No golden coloured things are cheap.
Thus, Conclusion II follows.
All the three Premises are particular (I?type). No Conclusion follows from the two particular premises.
Both the Premises are Universal Affirmative (A ? type).
Rajiv is a boy. ? All boys are tall.
A + A ? A-type of Conclusion "Rajiv is tall".
This is Conclusion I.
Venn diagrams:
Both the Premises are Universal Affirmative (A?type).
All elephants are men. ? All men are socks.
A + A ? A?type of Conclusion "All elephants are socks."
This is Conclusion II.
Conclusion I is the Converse of it.
Some radios are telephones + All telephones are mirrors = I + A = I = Some radios are mirrors Hence II follows Some radios are mirrors + All mirrors are desks = I + A = I = Some radios are desks Hence I follows. All telephones are mirrors + All mirrors are desks = A + A + = All telephones are desks ? conversion ? Some desks are telephones (I). Hence III follows.
All furniture are jungles + No jungle is road = A + E = E = No furniture is road ? conversion ? No road is furniture (E) Hence I does not follows. All furniture are jungles (A) ? conversion ? Some jungles are furniture (I). Hence II follows. No jungle is road + Some roads are hills = E + I = O* = Some hills are not jungles Hence III does not follows.
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