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?
$$ \text { Note: All lengths are in meter. The figure shown is representative. } $$

Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the $1^{\text {st }}$ round, $4^{\text {th }}$ student behind P leaves the game. After $2^{\text {nd }}$ round, $5^{\text {th }}$ student behind Q leaves the game. After $3^{\text {rd }}$ round, $3^{\text {rd }}$ student behind V leaves the game. After $4^{\text {th }}$ round, $4^{\text {th }}$ student behind $U$ leaves the game. Who all are left in the game after the $4^{\text {th }}$ round?
Note: 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?
$$ \begin{array}{|c|c|c|c|} \hline \text { Nation } & \text { Gold } & \text { Silver } & \text { Bronze } \\ \hline \text { USA } & 40 & 44 & 41 \\ \hline \text { Canada } & 39 & 27 & 24 \\ \hline \text { Japan } & 20 & 12 & 13 \\ \hline \text { Australia } & 17 & 19 & 16 \\ \hline \text { France } & 16 & 26 & 22 \\ \hline \end{array} $$