Business schools’ (B schools) curriculums are filled with group assignments and case competitions. Even when students have just joined the B schools, corporate houses try 38 to catch good talent early by promising them internships based on case competitions. These competitions involve solving the problems presented by the organizations, analyzing the challenges they currently face, and presenting solutions in a manner that convinces the organizations’ representatives.
For students who are just joining a B school, the capability to actually solve such problems is quite limited. Because of that, the corporate houses generally are more focused on the presentations made by groups. Hence, the groups that communicate better, most often, win these competitions.
Abirami joins MBS, a B school. As a fresher, she believes she needs to learn a lot about how organizations work and wants to work with others who have joined MBS and have work experience.
An examination is taken by three kinds of students: Diligent (10%), Lazy (30%) and Confused (60%). Diligent students are 10 times as likely to pass the exam as Lazy students. If 40% of the students who passed the exam are Confused, what is the maximum possible probability that a Confused student passes the exam?
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 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?

The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:

Two players \( A \) and \( B \) are playing a game. Player \( A \) has two available actions \( a_1 \) and \( a_2 \). Player \( B \) has two available actions \( b_1 \) and \( b_2 \). The payoff matrix arising from their actions is presented below:

Let \( p \) be the probability that player \( A \) plays action \( a_1 \) in the mixed strategy Nash equilibrium of the game.
Then the value of p is (round off to one decimal place).
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate