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Which of the following conclusions follows based on the given statements?
Statements:
All towels are cloths.
Some pillows are towels.
No clothes are carpets.
Conclusions:
I. Some pillows are cloths.
II. No carpets are towels.
III. Some pillows are carpets
IV. Some clothes are towels.
Statements:
All towels are cloths.
Some pillows are towels.
No clothes are carpets.
Conclusions:
I. Some pillows are cloths.
II. No carpets are towels.
III. Some pillows are carpets
IV. Some clothes are towels.
- a)I, III and IV only follows.
- b)I, II and IV only follows.
- c)I and IV only follows.
- d)I and III only follows.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following conclusions follows based on the given statemen...
I, II and IV only follows
Most Upvoted Answer
Which of the following conclusions follows based on the given statemen...
Given Statements:
All towels are cloths.
Some pillows are towels.
No clothes are carpets.
Conclusions:
I. Some pillows are cloths.
II. No carpets are towels.
III. Some pillows are carpets
IV. Some clothes are towels.
Explanation:
- Statement 1 states that all towels are cloths. This means that any item that is a towel is also a cloth.
- Statement 2 states that some pillows are towels. This implies that there are pillows that are also considered towels.
- Statement 3 states that no clothes are carpets. This indicates that there is no overlap between clothes and carpets.
Analysis of Conclusions:
I. Some pillows are cloths: This conclusion follows from statement 1 and statement 2, as it is stated that some pillows are towels, and all towels are cloths.
II. No carpets are towels: This conclusion follows from statement 3, as it clearly states that there is no intersection between carpets and towels.
III. Some pillows are carpets: This conclusion does not follow based on the given statements, as there is no direct link between pillows and carpets.
IV. Some clothes are towels: This conclusion does not follow based on the given statements, as there is no direct link between clothes and towels.
Therefore, the correct conclusions are I, II, and IV. Thus, option B is the correct answer.
All towels are cloths.
Some pillows are towels.
No clothes are carpets.
Conclusions:
I. Some pillows are cloths.
II. No carpets are towels.
III. Some pillows are carpets
IV. Some clothes are towels.
Explanation:
- Statement 1 states that all towels are cloths. This means that any item that is a towel is also a cloth.
- Statement 2 states that some pillows are towels. This implies that there are pillows that are also considered towels.
- Statement 3 states that no clothes are carpets. This indicates that there is no overlap between clothes and carpets.
Analysis of Conclusions:
I. Some pillows are cloths: This conclusion follows from statement 1 and statement 2, as it is stated that some pillows are towels, and all towels are cloths.
II. No carpets are towels: This conclusion follows from statement 3, as it clearly states that there is no intersection between carpets and towels.
III. Some pillows are carpets: This conclusion does not follow based on the given statements, as there is no direct link between pillows and carpets.
IV. Some clothes are towels: This conclusion does not follow based on the given statements, as there is no direct link between clothes and towels.
Therefore, the correct conclusions are I, II, and IV. Thus, option B is the correct answer.
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