Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All radios are microphones.
All radios are speakers.
Conclusions:
(I): Some microphones are speakers.
(II): All speakers are radios.
- AOption (a)
Both conclusions (I) and (II) follow
- BOption (b)
Only conclusion (II) follows
- COption (c)
Only conclusion (I) follows
- DOption (d)
Neither conclusion (I) nor (II) follows
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Correct answer
Only conclusion (I) follows
Why this answer is correct
Given
Statements:
All radios are microphones.
All radios are speakers.
The least possible Venn diagram for the given statement is:
Conclusions:
I. Some microphones are speakers - True (Since all radios are both microphones and speakers, radios form a common part of both sets. Therefore, some microphones are speakers).
II. All speakers are radios - False (The statement only says all radios are speakers. It does not mean all speakers are radios).
So, only conclusion I follows.
Hence, the correct answer is Option 3.