Directions (1-5): In this question four statements are given followed by five conclusions, one of which definitely does not logically follows (or is not a possibility of occurrence) from the given statements. That conclusion is your answer.
1.
Statements: All rings are jewelleries.
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.
Statements:
Some cars are bikes.
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.
Statements: Some plastics are papers.
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.
Statements:
All players are honests.
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.
Statements:
Some stars are planets.
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.
Statements:
All visitors are hosts.
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.
Answers & Explanations
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.
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