Comprehension:
There are six spherical balls, $\text{B1, B2, B3, B4, B5}$, and $\text{B6}$, and four circular hoops $\mathrm{H}1, \mathrm{H}2, \mathrm{H}3$, and $\text{H4}$
Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than the diameter of the hoop, the ball passes through the hoop and makes a "ping". Any ball having a diameter larger than that of the hoop gets stuck on that hoop and does not make a ping.
The following additional information is known:
- $\text{B1}$ and $\text{B6}$ each made a ping on $\text{H4}$, but $\text{B5}$ did not.
- $\text{B4}$ made a ping on $\text{H3}$, but $\text{B1}$ did not.
- All balls, except $\text{B3}$, made pings on $\text{H1}$.
- None of the balls, except $\text{B2}$, made a ping on $\text{H2}$.
Which of the following statements about the relative sizes of the balls is NOT NECESSARILY true?
- $\mathrm{B} 4<\mathrm{B} 5<\mathrm{B} 3$
- $\mathrm{B} 2<\mathrm{B} 1<\mathrm{B} 5$
- $\mathrm{B} 1<\mathrm{B} 6<\mathrm{B} 3$
- $\mathrm{B} 1<\mathrm{B} 5<\mathrm{B} 3$