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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 from the statements.
Statements:

All calculators are compasses.

All compasses are watches.

Some watches are bags.
Myntra

Conclusions:

I. Some bags are compasses.

II. Some watches are calculators.

III. Some compasses are calculators.

  1. A
    Only conclusions II and III follow.
  2. B
    Only conclusions I and III follow.
  3. C
    All conclusions I, II and III follow.
  4. D
    Only conclusions I and II follow.

Solution & Step-by-step Explanation

Let's analyze the statements step-by-step:
"All calculators are compasses" and "All compasses are watches" implies a nested relationship: Calculators⊂Compasses⊂Watches.

"Some watches are bags" means the set of bags intersects with watches, but may or may not reach compasses or calculators.

Now evaluate the conclusions:

Conclusion I: "Some bags are compasses." This is a possibility but not definitely true because bags might only overlap with the outer part of watches. (Does not follow)

Conclusion II: "Some watches are calculators." Since all calculators are inside watches, the region occupied by calculators is also a part of watches. (Follows)

Conclusion III: "Some compasses are calculators." Since all calculators are inside compasses, the region occupied by calculators means some compasses are definitely calculators. (Follows)

Hence, only conclusions II and III follow.

Practice this question

Try it yourself before checking the explanation above.

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 from the statements.
Statements:

All calculators are compasses.

All compasses are watches.

Some watches are bags.
Myntra

Conclusions:

I. Some bags are compasses.

II. Some watches are calculators.

III. Some compasses are calculators.
A
Only conclusions II and III follow.
B
Only conclusions I and III follow.
C
All conclusions I, II and III follow.
D
Only conclusions I and II follow.

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