**Statements:**
- All watch are time.
- All time are clock.
- Some watch is period.
- Some late is period.

**Conclusions:**
I. Some clocks are period.
II. Some time is watch.
III. Some late are time.
IV. All watch are clock.

Question

**Statements:**
- All watch are time.
- All time are clock.
- Some watch is period.
- Some late is period.

**Conclusions:**
I. Some clocks are period.
II. Some time is watch.
III. Some late are time.
IV. All watch are clock.

Accepted Answer

**Solution:**

1. Analyze the given statements:
   - All watch are time. (Watch ⊆ Time)
   - All time are clock. (Time ⊆ Clock)
   - Some watch is period. (Some Watch ∩ Period ≠ ∅)
   - Some late is period. (Some Late ∩ Period ≠ ∅)

2. From the first two statements:
   - Since all watch are time and all time are clock, by transitive property, all watch are clock.

3. Check each conclusion:

I. Some clocks are period.
   - Since some watch is period and watch ⊆ clock, those watches that are period are also clocks.
   - Therefore, some clocks are period. Conclusion I follows.

II. Some time is watch.
   - Since all watch are time, it means watch is a subset of time.
   - Therefore, some time is watch (at least those watches).
   - Conclusion II follows.

III. Some late are time.
   - Given some late is period, but no relation is given between late and time.
   - So, we cannot conclude that some late are time.
   - Conclusion III does not follow.

IV. All watch are clock.
   - From statements 1 and 2, all watch are time and all time are clock.
   - So, all watch are clock by transitive property.
   - Conclusion IV follows.

**Answer:** I, II and IV follow (Option C)

Answer

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