Question

Statements: all books are pens. All pens are pencils. Conclusions: i. Some pencils are books. Ii. All pencils are pens.

Answer 1

Answer:

all pencils are pen as all books=pens and all pens =pencils

so, all pe ncils are also pens

Answer 2

Conclusion (i) is true but conclusion (ii) is false

Step-by-step explanation:

Given,

=> Statements:

(i) All books are pens.

Books = pens

(ii)All pens are pencils.

Pens = pencils

Books = pencils

=> Conclusions:

(i)Some pencils are books.

According to the statements,

All books = Pens

All pens = Pencils

∴ All books = Pencils

As books is the subset of pencils, hence some pencils will be books.

So conclusion (i) is true.

(ii) All pencils are pens.

According to the statements ,

All pens = pencils

As pens is a subset of pencils, so we cannot say that all pencils will be pens.

Hence the converse of statement (ii) is not true.

∴ Conclusion (ii) is not true.