1.
→ Some toys are not rings (O). Hence 3) follows. No ring is a toy (E) + Some toys are baskets (I) = E+I = O * = Some baskets are not rings. Hence 4) does not follow.
Again from (third + fourth) the possibility in 5) exists.
2. 3; Some cars are bikes (I) + All bikes are red (A) = I + A = I = Some cars are red, Thus the possibility in l) exists.
And also conclusion 5) follows. Again, Some red are green. (I) + No green is white (E) = I + E = O
= Some red are not white. Hence 2) follows.
From Fourth statement conclusion 3) does not follow.
Now, All bikes are red (A) → Y Conversion → Some red are bikes (I). Hence 4) follows.
3. 2; Some plastics are papers (I) + No paper is a book (E) = I + E = O = Some plastics are not books.
Hence the possibility in 1) exists. But 2) does not exist.
Again, All books are novels (A) → Conversion → Some novels are books (I). Hence 3) follows. All books are novels (A) +
No novel is a poem (E) = A + E = E = No book is a poem (E). Hence 4) follows. From (second and third)
statements conclusion 5) follows.
4. 1; All player are honest (A) + No honest is intelligent (E) = A + E = E = No player is intelligent. Hence l) does not follow.
Again, Some intelligents are braves (I) → Conversions → Some braves are intelligents. Hence 2) Follows.
From third (I) + fourth (A) = I + A = I = Some intelligents are strong. Hence 3) follows and also follows.
From (third + fourth + second) conclusion 5) may follows.
5. 2; Some stars are planets (I) → conversion → Some planets are stars. Hence 1) follows. No Planet is an earth (E) +
All earths are universe (A) E + O* = Some universe are not planets. Hence 2) does not follow.
No moon is a star (E) + Some stars are planets (I) = E + I = O* = Some planets are not moons. Hence 3) follows.
From statement third the possibility in 4) exists. Hence 4) follows.
Again, Some stars are planet (I) + No planet is an earth (E) = I + E = O = Some stars are not earths.
Hence 5) follows.
6. 4; All guests are invitees (A) → Conversion → Some invitees are guests (I). Hence conclusion l) follows. Some hosts are
guests (I) + All guests are invitees (A) = I + A = I = Some hosts are invitees. Hence the possibility in 3) exists.
Again, All visitors are hosts (A) → conversion → some hosts are visitors (I). Hence 2) follows. No man is a visitor
(E) + All visitors are hosts = E + A =
O * = Some hosts are not men. Hence Conclusion 5) follows. But conclusion 4) does not follow from third statement.
Statements: All rings are jewelleries.
All jewelleries are diamonds.
No ring is a toy.
Some toys are baskets.
Conclusions:
All jewelleries are diamonds.
No ring is a toy.
Some toys are baskets.
Conclusions:
1) All rings are diamonds.
2) All diamonds being rings is a possibility.
3) Some toys are not rings.
4) All baskets are rings.
5) All rings being baskets is a possibility.
2.
2) All diamonds being rings is a possibility.
3) Some toys are not rings.
4) All baskets are rings.
5) All rings being baskets is a possibility.
2.
Statements:
Some cars are bikes.
All bikes are red.
Some red are green.
No green is white.
Conclusions:
All bikes are red.
Some red are green.
No green is white.
Conclusions:
1) Some red being cars is a possibility.
2) Some red are not white.
3) All white are definitely green.
4) Some red are bikes.
5) Some cars are red.
3.
2) Some red are not white.
3) All white are definitely green.
4) Some red are bikes.
5) Some cars are red.
3.
Statements: Some plastics are papers.
No paper is a book.
All books are novels.
No novel is a poem.
Conclusion:
No paper is a book.
All books are novels.
No novel is a poem.
Conclusion:
1) All books being plastic is a possibility.
2) All plastics being books is a possibility.
3) Some novels are books.
4) No book is a poem.
5) Some novels being papers is a possibility.
4.
2) All plastics being books is a possibility.
3) Some novels are books.
4) No book is a poem.
5) Some novels being papers is a possibility.
4.
Statements:
All players are honests.
No honest is intelligent.
Some intelligent are brave.
All brave are strong.
Conclusions:
No honest is intelligent.
Some intelligent are brave.
All brave are strong.
Conclusions:
l) All players being intelligent is a possibility.
2) Some brave are intelligent.
3) Some intelligent are strong.
4) All strong being intelligent is a possibility.
5) Some strong are not honest.
5.
2) Some brave are intelligent.
3) Some intelligent are strong.
4) All strong being intelligent is a possibility.
5) Some strong are not honest.
5.
Statements:
Some stars are planets.
No planet is an earth.
All earths are universes.
No moon is a star.
Conclusions:
No planet is an earth.
All earths are universes.
No moon is a star.
Conclusions:
1) Some planets are stars.
2) All universe being planets is a possibility.
3) Some planets are not moons.
4) All universes being an earth is a possibility.
5) Some stars are not earths.
6.
2) All universe being planets is a possibility.
3) Some planets are not moons.
4) All universes being an earth is a possibility.
5) Some stars are not earths.
6.
Statements:
All visitors are hosts.
Some hosts are guests.
All guests are invitees.
No man is a visitor
Conclusions:
Some hosts are guests.
All guests are invitees.
No man is a visitor
Conclusions:
1) Some invitees are guests.
2) Some hosts are visitors.
3) All invitees being hosts is a possibility
4) No guest is a invitee
5) All men being hosts is a possibility.
2) Some hosts are visitors.
3) All invitees being hosts is a possibility
4) No guest is a invitee
5) All men being hosts is a possibility.
Answer :
1. 4. From (first+ Second) Conclusions 1) and 2) follow. Again , No ring is a toy (E) → implication→ Some toys are not rings (O). Hence 3) follows. No ring is a toy (E) + Some toys are baskets (I) = E+I = O * = Some baskets are not rings. Hence 4) does not follow.
Again from (third + fourth) the possibility in 5) exists.
2. 3; Some cars are bikes (I) + All bikes are red (A) = I + A = I = Some cars are red, Thus the possibility in l) exists.
And also conclusion 5) follows. Again, Some red are green. (I) + No green is white (E) = I + E = O
= Some red are not white. Hence 2) follows.
From Fourth statement conclusion 3) does not follow.
Now, All bikes are red (A) → Y Conversion → Some red are bikes (I). Hence 4) follows.
3. 2; Some plastics are papers (I) + No paper is a book (E) = I + E = O = Some plastics are not books.
Hence the possibility in 1) exists. But 2) does not exist.
Again, All books are novels (A) → Conversion → Some novels are books (I). Hence 3) follows. All books are novels (A) +
No novel is a poem (E) = A + E = E = No book is a poem (E). Hence 4) follows. From (second and third)
statements conclusion 5) follows.
4. 1; All player are honest (A) + No honest is intelligent (E) = A + E = E = No player is intelligent. Hence l) does not follow.
Again, Some intelligents are braves (I) → Conversions → Some braves are intelligents. Hence 2) Follows.
From third (I) + fourth (A) = I + A = I = Some intelligents are strong. Hence 3) follows and also follows.
From (third + fourth + second) conclusion 5) may follows.
5. 2; Some stars are planets (I) → conversion → Some planets are stars. Hence 1) follows. No Planet is an earth (E) +
All earths are universe (A) E + O* = Some universe are not planets. Hence 2) does not follow.
No moon is a star (E) + Some stars are planets (I) = E + I = O* = Some planets are not moons. Hence 3) follows.
From statement third the possibility in 4) exists. Hence 4) follows.
Again, Some stars are planet (I) + No planet is an earth (E) = I + E = O = Some stars are not earths.
Hence 5) follows.
6. 4; All guests are invitees (A) → Conversion → Some invitees are guests (I). Hence conclusion l) follows. Some hosts are
guests (I) + All guests are invitees (A) = I + A = I = Some hosts are invitees. Hence the possibility in 3) exists.
Again, All visitors are hosts (A) → conversion → some hosts are visitors (I). Hence 2) follows. No man is a visitor
(E) + All visitors are hosts = E + A =
O * = Some hosts are not men. Hence Conclusion 5) follows. But conclusion 4) does not follow from third statement.
