Statements: 1. All trees are forests. 2. No forest is a desert. Conclusions: I. No tree is a desert. II. Some forests are trees. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. All trees are forests.
2. No forest is a desert.
Conclusions:
I. No tree is a desert.
II. Some forests are trees.
Which conclusion(s) logically follow?
A. Both I and II follow
B. Only conclusion II follows
C. Only conclusion I follows
D. Neither I nor II follows
Answer: Option A
Solution (By JKSSB Mock Tests)
If all trees are within the forest category, and the forest category has no overlap with the desert category, then no tree can be a desert (Conclusion I). Since all trees are forests, it is true that some forests (the ones made up of those trees) are trees (Conclusion II).
Statements:
1. No lock is a key.
2. No key is a door.
Conclusions:
I. All locks are doors.
II. Some doors are locks.
Which conclusion(s) logically follow?
Explanation:
Two negative premises yield no positive conclusion between the unconnected terms (locks and doors). They might overlap, or they might not. Neither conclusion is definite.
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