Statements: 1. Some phones are smart. 2. No smart thing is cheap. Conclusions: I. Some phones are not cheap. II. No phone is cheap. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. Some phones are smart.
2. No smart thing is cheap.
Conclusions:
I. Some phones are not cheap.
II. No phone is cheap.
Which conclusion(s) logically follow?
A. Neither I nor II follows
B. Only conclusion I follows
C. Only conclusion II follows
D. Both I and II follow
Answer: Option B
Solution (By JKExamLibrary)
The phones that are smart cannot be cheap (since no smart thing is cheap). Therefore, at least some phones are definitely not cheap (Conclusion I). We don't know about the phones that are not smart, so II does not follow.
Explanation:
I is an invalid conversion. II: 'some are red' does not imply some are not red; it's possible all roses are red but the statement only says some. So neither follows.
Statements:
1. Some glasses are mirrors.
2. All mirrors are fragile.
Conclusions:
I. Some fragile things are glasses.
II. All glasses are fragile.
Which conclusion(s) logically follow?
Explanation:
The glasses that are mirrors must also be fragile, meaning some fragile things are glasses (I follows). We do not know about the glasses that are not mirrors, so we cannot conclude they are all fragile (II does not follow).
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