Which statement must be true?

Name: Which statement must be true?
Uploaded: 2011-02-08
Description: Solution $$\text{We know that:} \begin{cases} a<b>c\\ a<d<c \end{cases}$$Which means both b and d lies between a and b as explained in following figure, but we don't know if b is equal to, greater or less than d.Answer: A

5. If $a<b<c$ and $a<d<c$, which of the following statements must be true?

1. 1. $a<c$
  2. $b=d$
  3. $b<d$

I only
II only
III only
I and II
I, II and III

$$\text{We know that:} \begin{cases} a<b>c\\ a<d<c \end{cases}$$

Which means both b and d lies between a and b as explained in following figure, but we don't know if b is equal to, greater or less than d.

Answer: A