If Pen

Question

If Pen < Pencil, Pencil < Book and Book > Cap, then which one of the following is always true?

Accepted Answer

The given statements are: 1. Pen < Pencil 2. Pencil < Book 3. Book > Cap (which means Cap < Book) Let's combine the first two statements: From (1) Pen < Pencil and from (2) Pencil < Book, we can infer Pen < Pencil < Book. Now let's evaluate each option: A) Pen > Cap We know Pen < Book and Cap < Book. We cannot determine a definite relationship between Pen and Cap. For example, if Book is 10, Pen could be 5 and Cap could be 3 (Pen > Cap), or Pen could be 3 and Cap could be 5 (Pen < Cap). So, this is not always true. B) Pen < Book From our combined inference Pen < Pencil < Book, it is directly implied that Pen < Book. This statement is always true. C) Pencil = Cap We know Pencil < Book and Cap < Book. There is no information to suggest that Pencil and Cap must be equal. They could be equal, or one could be greater than the other. So, this is not always true. D) Pencil > Cap We know Pencil < Book and Cap < Book. Similar to option A, we cannot determine a definite relationship between Pencil and Cap. They could be 5 and 3 respectively (Pencil > Cap), or 3 and 5 respectively (Pencil < Cap). So, this is not always true. Therefore, the only statement that is always true is Pen < Book.

Answer

Pen > Cap

Answer

Pen < Book

Answer

Pencil = Cap

Answer

Pencil > Cap

If Pen Cap, then which one of the following is always true?

Explanation

Related questions