Question

Thomas weighs more than Robert. Paula weighs more than Quentin. Samantha weighs more than Robert. Robert weighs more than Paula. Which of the following statements must be true?

I. Thomas weighs more than Samantha.
II. Samantha weighs more than Quentin.
III. Thomas weighs more than Paula.

A. I only
B. II only
C. Ill only
D. I and II
E. II and Iii

Answer 1

Statement II, Samantha weighs more than Quentin, must be true based on the given information.

Step-by-step explanation:

To determine which statements must be true, let's analyze the given information:

• Thomas weighs more than Robert
• Paula weighs more than Quentin
• Samantha weighs more than Robert
• Robert weighs more than Paula

From these statements, we can infer that Samantha weighs more than both Robert and Paula. Therefore, statement II, which says that Samantha weighs more than Quentin, must be true. The other statements do not necessarily follow from the given information, so they cannot be determined to be true.