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1.
Which conclusion definitely follows from "All coins are notes"?
Correct Answer: D [Some notes are coins]
Explanation:
"All" converts to "Some": every coin is a note, so some notes are coins.
2.
Which conclusion definitely follows from "Some cards are wallets"?
Correct Answer: C [Some wallets are cards]
Explanation:
"Some" converts to "Some" with the terms swapped.
3.
Which conclusion definitely follows from "No loan is a bond"?
Correct Answer: A [No bond is a loan]
Explanation:
"No" converts to "No": if no loan is a bond, no bond is a loan.
4.
Statement: Only a few banks are branches. Which of the following is definitely FALSE?
Correct Answer: B [All banks are branches]
Explanation:
"Only a few" = some are and some are not; so "All banks are branches" can never be true.
5.
Fill in the blank: All pens are inks + No ink is a file ⇒ ______
Correct Answer: C [No pen is a file]
Explanation:
Pens lie inside inks, and inks are fully outside files, so pens are outside files: All + No = No.
6.
Statements: All rings are metals. All metals are solids.
Conclusions: I. All rings are solids. II. Some solids are rings.
Conclusions: I. All rings are solids. II. Some solids are rings.
Correct Answer: C [Both I and II follow]
Explanation:
All + All = All: rings ⊂ metals ⊂ solids; then "All rings are solids" converts to "Some solids are rings".
7.
Statements: Some trains are buses. All buses are cars.
Conclusions: I. All trains are cars. II. Some cars are trains.
Conclusions: I. All trains are cars. II. Some cars are trains.
Correct Answer: B [Only II follows]
Explanation:
Some + All = Some: the trains that are buses are cars, so some cars are trains; not all trains need be cars.
8.
Statements: All pens are inks. All inks are files.
Conclusions: I. All files are pens. II. Some pens are not files.
Conclusions: I. All files are pens. II. Some pens are not files.
Correct Answer: D [Neither I nor II follows]
Explanation:
Only "All pens are files" follows; I reverses an "All" (not allowed) and II contradicts it.
9.
Statements: No hill is a river. Some rivers are lakes.
Conclusions: I. Some lakes are not hills. II. No hill is a lake.
Conclusions: I. Some lakes are not hills. II. No hill is a lake.
Correct Answer: A [Only I follows]
Explanation:
No + Some (reversed): the lakes that are rivers are not hills, so some lakes are not hills; II is only possible.
10.
Statements: All seeds are plants. No plant is a rock. The conclusion "Some seeds are rocks" is:
Correct Answer: B [Definitely false]
Explanation:
Seeds lie inside plants, which are fully outside rocks – no seed can be a rock, so it is definitely false.
11.
Statement: Some apples are fruits. The conclusion "All apples are fruits" is:
Correct Answer: C [Possible, but not definite]
Explanation:
"Some" does not rule out "all" – the circle of apples may lie wholly inside fruits, but it need not.
12.
Statements: Some desks are chairs. Some chairs are stools. Which is definitely true about desks and stools?
Correct Answer: A [No definite conclusion]
Explanation:
Some + Some gives no definite conclusion: the two "some" parts of chairs need not meet.
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