Which statement must be true?
5. If \(a<b<c\) and \(a<d<c\), which of the following statements must be true?


 \(a<c\)
 \(b=d\)
 \(b<d\)

 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