Marks 1
The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The maximum possible marks in the exam is 150.
(S1) The highest score is 100.
(S2) The fourth highest score is 76.
(S3) There are at least four students whose scores are within 25 of each other.
Which one of the following options is necessarily correct?
The figure below has exactly three intersecting line segments with a rectangular portion WXYZ missing. Which one of the following options $P, Q, R$, and $S$ is the missing portion WXYZ?


The following observation is made about the scores obtained by 100 students in an exam: 'For each student, there exists another student in the class such that their scores are at most ten marks away.'
If the above statement is false, which one of the following statements is necessarily true?
P, Q, R, S, and T have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room.
If S and Q are single children, and the room allocations shown below are acceptable to all,
PR | TS | Q
PQ | RT | S
Then, which one of the given options is the siblings?
Marks 2
Three children P, Q, R and two grown-ups X, Y play a badminton doubles tournament. $X$ and $Y$ are parents to two of the children playing. The child of $X$ is not the same as the child of Y . Exactly one of the children does not have a parent playing in the tournament. The following rules are followed:
(i) A parent and his/her child cannot be on the same team.
(ii) A match can feature at most one parent and his/her child, that is, a maximum of one parent-child pair can play in a match.
$$ \text { The following matches were played: } $$
$$ \begin{array}{|l|c|c|} \hline & \text { TEAM 1 } & \text { TEAM2 } \\ \hline \text { MATCH 1 } & P \text { and } X & Q \text { and } R \\ \hline \text { MATCH 2 } & P \text { and } R & X \text { and } Y \\ \hline \text { MATCH 3 } & R \text { and } X & Q \text { and } Y \\ \hline \end{array} $$
Which one of the following options is correct?

The global financial crisis in 2008 is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in USA in 2007. The sub-prime lending crisis led to the banking crisis in 2008 with the collapse of Lehman Brothers in 2008. The sub-prime lending refers to the provision of loans to those borrowers who may have difficulties in repaying loans, and it arises because of excess liquidity following the East Asian crisis. Which one of the following sequences shows the correct precedence as per the given passage?