Statements:All songs are poems.All poems are rhymes.No rhyme is a paragraph.Conclusions:I. No song is a paragraph.II. No poem is a paragraph.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Question
Statements:All songs are poems.All poems are rhymes.No rhyme is a paragraph.Conclusions:I. No song is a paragraph.II. No poem is a paragraph.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Solution 1
The given statements lead to the following logical deductions:
- All songs are poems: This means that whatever is true for all poems is also true for all songs.
- All poems are rhymes: This means that whatever is true for all rhymes is also true for all poems (and therefore, all songs).
- No rhyme is a paragraph: This means that no poem (and therefore, no song) can be a paragraph.
From these deductions, we can draw the following conclusions:
I. No song is a paragraph: This is true, as we have deduced from the given statements. II. No poem is a paragraph: This is also true, as we have deduced from the given statements.
Therefore, both conclusion I and conclusion II follow.
Solution 2
The answer is: if both conclusion I and conclusion II follow.
Here's the step by step reasoning:
-
All songs are poems: This means that whatever is true for all poems is also true for all songs.
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All poems are rhymes: This means that whatever is true for all rhymes is also true for all poems and, by extension, all songs.
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No rhyme is a paragraph: This means that no poem can be a paragraph (since all poems are rhymes) and, by extension, no song can be a paragraph (since all songs are poems).
Therefore, both conclusions I (No song is a paragraph) and II (No poem is a paragraph) follow from the given statements.
Solution 3
The given statements can be interpreted as follows:
- All songs are poems: This means that every song is also a poem.
- All poems are rhymes: This means that every poem is also a rhyme.
- No rhyme is a paragraph: This means that there is no rhyme that is also a paragraph.
From these statements, we can draw the following conclusions:
I. No song is a paragraph: Since all songs are poems and all poems are rhymes, and no rhyme is a paragraph, it follows that no song can be a paragraph.
II. No poem is a paragraph: Since all poems are rhymes and no rhyme is a paragraph, it follows that no poem can be a paragraph.
Therefore, both conclusion I and conclusion II follow from the given statements.
Solution 4
The given statements are:
- All songs are poems.
- All poems are rhymes.
- No rhyme is a paragraph.
From these statements, we can infer the following:
- Since all songs are poems and all poems are rhymes, it means all songs are also rhymes.
- Since no rhyme is a paragraph, it means no song (which is a rhyme) can be a paragraph. So, conclusion I (No song is a paragraph) follows.
- Similarly, since all poems are rhymes and no rhyme is a paragraph, it means no poem can be a paragraph. So, conclusion II (No poem is a paragraph) also follows.
Therefore, both conclusions I and II follow.
Solution 5
if both conclusion I and conclusion II follow.
Solution 6
The given statements can be interpreted as follows:
- All songs are poems: This means that whatever is a song is also a poem.
- All poems are rhymes: This means that whatever is a poem is also a rhyme.
- No rhyme is a paragraph: This means that there is no rhyme that is also a paragraph.
From these statements, we can draw the following conclusions:
I. No song is a paragraph: Since all songs are poems and all poems are rhymes, and no rhyme is a paragraph, it follows that no song can be a paragraph.
II. No poem is a paragraph: Since all poems are rhymes and no rhyme is a paragraph, it follows that no poem can be a paragraph.
Therefore, both conclusion I and conclusion II follow.
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