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Statements: All the books are pencils. No pencil is eraser.
Conclusions:
  1. All the pencils are books.
  2. Some erasers are books.
  3. No book is eraser.
  4. Some books are erasers.
  • a)
    Only (3)
  • b)
    Only (1) and (3)
  • c)
    Only (1) and (2)
  • d)
    Only (2) and (3)
  • e)
    Only (3) and (4)
Correct answer is option 'A'. Can you explain this answer?
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Statements: All the books are pencils. No pencil is eraser.Conclusions...
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Statements: All the books are pencils. No pencil is eraser.Conclusions...
Explanation:
Given Statements:
- All the books are pencils.
- No pencil is an eraser.

Conclusions:
1. All the pencils are books.
2. Some erasers are books.
3. No book is an eraser.
4. Some books are erasers.

To determine which conclusions can be logically inferred from the given statements, let's analyze each one:

Conclusion 1: All the pencils are books.
This conclusion cannot be drawn from the given statements. While it is true that all the books are pencils, it does not necessarily mean that all the pencils are books. There could be other objects that are pencils but not books. Therefore, conclusion 1 is not valid.

Conclusion 2: Some erasers are books.
This conclusion cannot be drawn from the given statements. The statements do not provide any information about the relationship between erasers and books. Therefore, conclusion 2 is not valid.

Conclusion 3: No book is an eraser.
This conclusion can be logically inferred from the given statements. The second statement explicitly states that no pencil is an eraser. Since all the books are pencils (according to the first statement), it follows that no book can be an eraser. Therefore, conclusion 3 is valid.

Conclusion 4: Some books are erasers.
This conclusion cannot be drawn from the given statements. The statements do not provide any information about the relationship between books and erasers. Therefore, conclusion 4 is not valid.

Therefore, the correct answer is option 'A' - Only conclusion 3 is valid. No other conclusions can be logically inferred from the given statements.
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Community Answer
Statements: All the books are pencils. No pencil is eraser.Conclusions...
Well, it is already given that ALL the books are pencils (or) All books = pencils
and no pencil is an eraser. So, if a book is an eraser, it will contradict the statement that "all the books are pencils" because NO pencil is an eraser.
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Statements: All the books are pencils. No pencil is eraser.Conclusions: All the pencils are books. Some erasers are books. No book is eraser. Some books are erasers.a)Only (3)b)Only (1) and (3)c)Only (1) and (2)d)Only (2) and (3)e)Only (3) and (4)Correct answer is option 'A'. Can you explain this answer?
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