Directions: In the following question, two statements are given, followed by two conclusions (I and II). Assume the statements to be true even if they appear to contradict general facts. Determine which conclusion(s) logically follow(s) from the statements. Statements: All televisions are radios. Some radios are transistors. Conclusions: I. All radios are televisions. II. Some televisions are transistors.

Correct — D.
Rule: a conclusion follows only if no diagram that fits the statements can break it.

I. All radios are televisions.
'All televisions are radios' does not reverse. The radio circle can be larger than the television circle inside it, so I fails.

II. Some televisions are transistors.
The radios that are transistors can all lie outside the televisions. The overlap is possible, not certain, so II fails.

Neither follows → option (d).

Why the others are wrong

• (a)
  Only conclusion I follows. — Conclusion I reverses an All statement. 'All televisions are radios' puts televisions inside radios. It never says every radio is a television.
• (b)
  Only conclusion II follows. — Conclusion II links televisions to transistors through some radios. Those radios need not be televisions, so the link is possible, not definite.
• (c)
  Both conclusion I and II follows. — Both fail. I turns an All statement around, and II treats a possible overlap between televisions and transistors as a certain one.

Syllogisms are settled with the diagram that overlaps least. Draw only what the statements force: the television circle inside the radio circle, and a transistor circle that meets the radio circle somewhere.

Then try to break each conclusion. Put the transistor circle over the part of radios that holds no televisions: both statements still hold, and II is false. A conclusion that can be broken does not follow.

Key facts

• 'All A are B' does not give 'All B are A', though it does give 'Some B are A'.
• 'All A are B' with 'Some B are C' fixes no definite link between A and C.
• A conclusion follows only if every diagram consistent with the statements keeps it true.

Common traps

• Reversing 'All televisions are radios' into 'All radios are televisions'
• Treating 'some televisions are transistors' as certain because both groups touch radios

No directly related past PYQ was found.