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.
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.
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.
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:
All the three Premises are particular (I?type). No Conclusion follows from the two particular premises.
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.
Some stones are rocks + All rocks are mountains = I + A = I = Some stones are mountains ? conversion ? Some mountains are stones (I). Hence II follows. All brick are stones + Some stones are mountains = A + I = No conclusion Hence II does not follow. All brick are stones (A) ? conversion ? Some stone are bricks(I). Hence III follows.
Some pates are chairs + All chairs are tables = I + A = I = Some plates are tables ? conversion ? Some tables are plates(I). Hence I follows. Some bags are plates + Some plates are chairs = I + I = No conclusion Hence II and III do not follow. By combination. However, the two form a complementary E-I pair, Hence either I or III follows.
Some rooms are halls + All halls are leaves = I + A = I = Some rooms are leaves ? conversion ? Some leaves are rooms(I) Hence III follows. All desks are rooms + Some rooms are halls = A + I = No conclusion Hence II and consequently I do not follow.
All teachers are lawyers (A) ? conversion ? Some lawyers are teachers (I). Hence IV follows. Now, Some doctors are lawyers + Some lawyers are teachers = I + I = No conclusion Hence I does not follow. Some engineers are lawyers (I) ? conversion ? Some lawyers are engineers + All engineers are businessmen = I + A = I = Some lawyers are businessmen ? conversion Some businessmen are lawyers Hence II follows. But , All teachers are lawyers + Some lawyers are businessmen = A + I = No conclusion Hence III does not follow.
All sponges are clothes + All clothes are liquids = A + A = All sponges are liquids ? conversion ? Some liquids are sponges (I). Hence I does not follows. All plastics are glasses + conversion of Some sponges are glasses = A + I = No conclusion Hence II does not follow. All plastics are glasses (A) ? conversion ? Some glasses are plastics (I) Hence III does not follow. All clothes are liquids(A) conversion Some liquids are clothes (I) Hence IV does not follow.
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