Step 1: IRC guidelines.
As per the Indian Roads Congress (IRC) 11:1962, separate cycle tracks are recommended if bicycle traffic is very high or there is high interaction between bicycles and motor vehicles.
Step 2: Checking statement (P).
When bicycle traffic is \( \geq 400 \, \text{bicycles/hour} \) and motorized vehicles are 100–200 vehicles/hour → justified for providing separate tracks.
\[
P \ \text{is correct.}
\]
Step 3: Checking statement (Q).
When bicycle traffic is \( \geq 100 \, \text{bicycles/hour} \) and motor vehicle traffic exceeds 200 vehicles/hour → conflict occurs, so separate tracks are required.
\[
Q \ \text{is correct.}
\]
Step 4: Checking statement (R).
If bicycle traffic is only 100–200 bicycles/hour and motor vehicles are also 100–200/hour, then interaction is not significant enough to justify a separate cycle track.
\[
R \ \text{is incorrect.}
\]
Thus, only (P) and (Q) satisfy the IRC condition.
\[
\boxed{\text{Only P \& Q are correct.}}
\]
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.