Question

In each of the questions below are given four statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.​​​​​​​
Statements
Some radios are telephones.
All telephones are mirrors.
All mirrors are desks.

Conclusions
I. Some radios are desks.
II. Some radios are mirrors.
III. Some desks are telephones.

• A. Both I and II follow
• B. Both I and III follow
• C. Both II and III follow
• D. All follow
• E. None of these

Answer 1

The correct option is D All follow

Here, we derive all the inferences and conversions of the given statement
1. Some radios are telephones (I-type)
Inference Not possible
Conversion Some telephones are radios
2. All telephones are mirrors (A-type)
Inference Some telephones are mirrors
conversion Some mirrors are telephones
3. All mirrors are desks (A-type)
Inference some mirrors are desks
Conversion Some desks are mirror
Now, we find the mediate inference between statement (1) and (2)
Some radios are telephones (A-type)
All telephone are mirrors (A-type)
$A+A\to Atype$
4. Some radios are mirrors
(Conclusion II is true)
mediate inference in statement (2) and (3)
All telephones are mirrors
All mirrors are desks
$A+A\to Atype$
5. All telephones are desks
Inference Some telephones are desks
Conversion Some desks are telephones (Conclusion III is true)
Mediate inference in statement (3) and (4)
Some radios are mirrors (I-type)
All mirrors are desks (A-type)
$I+A\to Itype$
Some radios are desks
(Conclusion I follows)
\(Hence, option (d) is correct.