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

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

If 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 Leopards

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

Statements:No book is a pencil.All pencils are pens.No pen is blue.Conclusions: I. No blue is a pencil.II. All books being pen is a possibility.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followIf neither conclusion I nor conclusion II followsIf only conclusion II 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.