1. Statements:
No apple is orange
No banana is apple
Conclusions:
I. No orange is banana
II. All bananas are orange
A) If only conclusion I follows.
B) If only conclusion II follows.
C) If either conclusion I or conclusion II follows.
D) If neither conclusion I nor conclusion II follows.
E) If both conclusion I and conclusion II follows
Thus, neither conclusion I nor conclusion II follows
Ans: D
2. Statements:
All spoons are boxes.
All bottles are spoons.
Conclusions:
I. All bottles are boxes.
II. All boxes are spoons.
A) If only conclusion I follows.
B) If only conclusion II follows.
C) If either conclusion I or conclusion II follows.
D) If neither conclusion I nor conclusion II follows.
E) If both conclusion I and conclusion II follows.
Hence, conclusion I follows.
But, conclusion II does not follow.
Ans: A
3. Statements:
Some pens are pencils.
All erasers are pencils.
Conclusions:
I. At least some pens are erasers.
II. Some pens are definitely not erasers.
A) If only conclusion I follows.
B) If only conclusion II follows.
C) If either conclusion I or conclusion II follows.
D) If neither conclusion I nor conclusion II follows.
E) If both conclusion I and conclusion II follow.
Hence, either conclusion I nor conclusion II follows.
However, since they make a complementary pair, therefore, either conclusion I or conclusion II follows.
Ans: C
4. Statements:
All red are yellow.
No blue is a yellow.
Conclusions:
I. No red is a blue.
II. At least some yellow are red.
A) If only conclusion I follows.
B) If only conclusion II follows.
C) If either conclusion I or conclusion II follows.
D) If neither conclusion I nor conclusion II follows.
E) If both conclusion I and conclusion II follow.
No yellow is blue.
Therefore all red are in yellow,
So No red is blue
Hence, conclusion I follows.
All red are yellow means some yellow are red.
It means, atleast some yellow are red.
Hence conclusion II follows.
Thus, both conclusion I and II follows.
Ans: E
5. Statements:
All glasses are mugs.
All bottles are glasses.
No water is a mug.
Conclusions:
I. At least some glasses are water.
II. No water is a bottle.
A) If only conclusion I follows.
B) If only conclusion II follows.
C) If either conclusion I or conclusion II follows.
D) If neither conclusion I nor conclusion II follows.
E) If both conclusion I and conclusion II follows.
There is No relation between mug and water.
All glasses are in mug, so there is No relation between glass and water.
Hence conclusion I is not follows.
There is No relation between mug and water.
All bottles are in mug, so there is no relation between bottle and water.
Hence conclusion II is follows.
Ans: B
6. Statements:
Some photos are frames.
All photos are pictures.
Conclusions:
I. All frames are photos.
II. Atleast some frames are pictures.
A) Conclusion I follows.
B) Conclusion II follows.
C) Either conclusion I or conclusion II follows.
D) Both conclusion I and conclusion II follows.
E) Neither conclusions I nor II follows.
Some photos are frames, so some frames are photos.
Hence conclusion I does not follows.
Some photos are frames and all photos are pictures, so some pictures are frames.
Hence some frames are pictures.
Hence conclusion II follows.
Ans: B
7. Statements:
All parrots are swans.
All bats are parrots.
No owl is a swan.
Conclusions:
I. All bats are swans.
II. No parrot is an owl.
A) Conclusion I follows.
B) Conclusion II follows.
C) Either conclusion I or conclusion II follows.
D) Both conclusion I and conclusion II follows.
E) Neither conclusions I nor II follows.
All bats are parrots and all parrots are swans
So all bats are swans
Hence conclusion I follows.
No swans are owl and all parrots are swans
So No parrot is an owl
Hence conclusion II follows.
Ans: D
8. Statements:
All months are year
All year are week
No month is day
Conclusions:
I. Some day are week
II. Some week are year.
A) Conclusion I follows.
B) Conclusion II follows.
C) Either conclusion I or conclusion II follows.
D) Both conclusion I and conclusion II follows.
E) Neither conclusions I nor II follows.
Clearly we can see from the venn diagram that no day is week.
Hence, Conclusion I doesn't follow.
All year are week, so some week is year
Hence, conclusion II follows.
Ans: B
9. Statements:
No plant is a mountain.
Some mountains are rivers.
Conclusions:
I. No rivers is a mountain.
II. Some rivers are mountains.
A) Conclusion I follows.
B) Conclusion II follows.
C) Either conclusion I or conclusion II follows.
D) Both conclusion I and conclusion II follow.
E) Neither conclusions I nor II follows.
Some mountains are rivers is the given statement. So definitely some rivers are mountains. So conclusion I is not follows.
Conclusion II is follows.
Ans: B
10. Statements:
All plants are trees
Some trees are jungles
Conclusions:
I. Some trees are plants.
II. All jungles are plants.
A) Conclusion I follows
B) Conclusion II follows
C) Either conclusion I or conclusion II follows
D) Both conclusion I and conclusion II follows
E) Neither conclusions I nor II follows
All plants are trees is the given statement , so definitely some trees are plants.
So conclusion I follows.
Some trees are jungles is the given statement.So we don’t know the relation between plant and jungle exactly. So conclusion II is not follows.
Ans: A