Usually the Prashna Kundali is cast on the basis of the time that the question is asked and the Ascendant is also calcualted for the same. The Navamash Prashna kundali is a variant that calculates the Lagna according to a random number between 1-108 which must be provided by the person.
The calculation of the planetary position is done for the time the question is asked just as in the basic Prashna Kundali, but the lagna is calculated on the basis of the Navamsh number selected by the user.