Knowee
Questions
Features
Study Tools

If some Books are Pens, and all Pens are Papers, which of the following statements is necessarily true?A. All Books are PapersB. Some Papers are not BooksC. No Books are PapersD. Some Books are Pens

Question

If some Books are Pens, and all Pens are Papers, which of the following statements is necessarily true?A. All Books are PapersB. Some Papers are not BooksC. No Books are PapersD. Some Books are Pens

🧐 Not the exact question you are looking for?Go ask a question

Solution

The statement that is necessarily true is: A. All Books are Papers.

Here's the step-by-step reasoning:

  1. The first statement says "some Books are Pens". This means there is at least one Book that is also a Pen.

  2. The second statement says "all Pens are Papers". This means every Pen is also a Paper.

  3. Therefore, if there is at least one Book that is a Pen, and all Pens are Papers, then it follows that there is at least one Book that is a Paper.

  4. So, the statement "All Books are Papers" is not necessarily true because we only know that some Books are Papers, not all.

  5. The statement "Some Papers are not Books" could be true, but we don't have enough information to say it's necessarily true.

  6. The statement "No Books are Papers" is definitely not true because we know from the first two statements that some Books are Papers.

  7. The statement "Some Books are Pens" is true because it's given in the first statement.

So, the only statement that is necessarily true is "Some Books are Pens".

This problem has been solved

Similar Questions

If some Books are Pens, and all Pens are Papers, which of the following statements is necessarily true?A. All Books are PapersB. Some Papers are not BooksC. No Books are PapersD. Some Books are PensIf no Tigers are Lions, and some Lions are Leopards, which of the following statements is not possible?A. All Lions are LeopardsB. Some Leopards are TigersC. No Tigers are LeopardsD. Some Tigers are LeopardsWhat is the smallest square number, which is the sum of two other square numbers?(a) 25(b) 50(c) 80(d) 90If 2x + 3y = 12 and 3x + 5y = 20, what is the value of x + y?(a) 3(b) 4(c) 5(d) 6

Statements:No sheet is a paper.All papers are booksConclusions:I. Some papers are booksII. Some papers are not sheets.

Directions: Each of these questions consists of two statements followed by two conclusions I and II. Find which of the conclusions logically follows the given statements, even though they are at variance with commonly known facts. Statements: Some papers are books. Some books are not pens. Conclusions: I. All papers are pens II. Some papers are not pensa.If only I followb.If neither I nor II followsc.If only II followd.If either I or II follows

All pencils are pens. Some pens are markers.Conclusions:Some pencils are markers.All markers are pens.A. Only conclusion 1 followsB. Only conclusion 2 followsC. Both 1 and 2 followD. Neither 1 nor 2 follows

In the question given below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statementStatements: All books are pens. All pens are pencils. Conclusions:I. All books are pencils.II. All pencils are books.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.