As per the Indian Roads Congress guidelines (IRC 86: 2018), extra widening depends on which of the following parameters?
Given \( G_1 \) and \( G_2 \) are the slopes of the approach and departure grades of a vertical curve, respectively.
Given \( |G_1| < |G_2| \) and \( |G_1| \neq |G_2| \neq 0 \), Statement 1: \( +G_1 \) followed by \( +G_2 \) results in a sag vertical curve.
Statement 2: \( -G_1 \) followed by \( -G_2 \) results in a sag vertical curve.
Statement 3: \( +G_1 \) followed by \( -G_2 \) results in a crest vertical curve.
Which option amongst the following is true?
For a horizontal curve, the radius of a circular curve is 300 m with the design speed 15 m/s. If the allowable jerk is 0.75 m/s$^3$, what is the minimum length (in m, integer) of the transition curve?
For a horizontal curve, the radius of a circular curve is 300 m with the design speed 15 m/s. If the allowable jerk is 0.75 m/s$^3$, what is the minimum length (in m, integer) of the transition curve?
Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions:
1. \( P<Q \)
2. \( S>P>T \)
3. \( R<T \)
If integers 1 through 5 are used to construct such a number, the value of P is:


