A stick of length one meter is broken at two locations at distances of $b_1$ and $b_2$ from the origin (0), as shown in the figure. Note that 0<b $b_2<1$. Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
$$ \text { Note: All lengths are in meter. The figure shown is representative. } $$
The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?
$$ \begin{array}{|c|c|c|c|} \hline \text { Nation } & \text { Gold } & \text { Silver } & \text { Bronze } \\ \hline \text { USA } & 40 & 44 & 41 \\ \hline \text { Canada } & 39 & 27 & 24 \\ \hline \text { Japan } & 20 & 12 & 13 \\ \hline \text { Australia } & 17 & 19 & 16 \\ \hline \text { France } & 16 & 26 & 22 \\ \hline \end{array} $$
Four identical cylindrical chalk-sticks, each of radius $r = 0.5$ cm and length $l = 10$ cm, are bound tightly together using a duct tape as shown in the following figure.
The width of the duct tape is equal to the length of the chalk-stick. The area (in cm2) of the duct tape required to wrap the bundle of chalk-sticks once, is