Read the following passage and solve the questions based on it.
Six horses named Aparajit, Bahadur. Chetak, Dhundumar, Pakshiraj, and Vijay are entered in a race. The big starting gate is divided into exactly seven positions numbered consecutively 1 to 7. Seven jockeys, also numbered from
1 to 7 are eligible to ride the horses in the race. Each jockey’s number corresponds to the numbered position on the starting gate from which that jockey, if assigned to a horse, will ride. Exactly one jockey will not be assigned to any of the horses and the starting gate position corresponding to that jockey’s number will remain vacant for the race. Jockeys will be assigned horses and the horses will run from the starting gate position in accordance with the following
(i) Either Aparajit or Chetak must be ridden by Jockey 1.
(ii) Pakshiraj must be ridden by Jockey 4 or else by
(iii) Bahadur and Pakshiraj must have at least one horse separating the two of them at starting gate.
(iv) Chetak must run from a starting gate position which has a lower number than the starting gate position from which Vijay runs.
If Chetak runs from the starting gate position 5 and the starting gate position 6 is vacant, then which of the following must be true?