Step 1: Identify entry point.
From the building plan, entry is through room \(A\), located at the bottom center. This is our starting node.
Step 2: Direct connections from \(A\).
From room \(A\):
- \(A \leftrightarrow B\) (left side),
- \(A \leftrightarrow H\) (right side),
- \(A \leftrightarrow I\) (upper side).
Thus, \(A\) has three immediate connections.
Step 3: Connections of room \(I\).
From \(I\):
- \(I \leftrightarrow C\) (left),
- \(I \leftrightarrow G\) (right),
- \(I \leftrightarrow E\) (upper side).
Step 4: Remaining connections.
- \(C\) connects further to \(D\).
- \(G\) connects further to \(F\).
- \(E\) connects further upward to no additional rooms.
So the structure is hierarchical, extending upward and sideways.
Step 5: Match with given diagrams.
- (A) shows a linear sequence, which does not fit.
- (B) shows a chain with side extension, which misses the branching nature.
- (C) shows a central entry leading to \(B, H, I\), then further branches to \(D, E, F, G\), which matches perfectly.
- (D) shows a star with equal distribution, which does not match the actual connections.
Final Answer: \[ \boxed{\text{(C) Diagram C}} \]
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches, and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?
In a regular semi-circular arch of 2 m clear span, the thickness of the arch is 30 cm and the breadth of the wall is 40 cm. The total quantity of brickwork in the arch is _______ m\(^3\). (rounded off to two decimal places)

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
Statement:
P. At once, without thinking much, people rushed towards the city in hordes with the sole aim of grabbing as much gold as they could.
Q. However, little did they realize about the impending hardships they would have to face on their way to the city: miles of mud, unfriendly forests, hungry beasts, and inimical local lords—all of which would reduce their chances of getting gold to almost zero.
R. All of them thought that easily they could lay their hands on gold and become wealthy overnight.
S. About a hundred years ago, the news that gold had been discovered in Kolar spread like wildfire and the whole State was in raptures.