All six travelers are working in the same organization for at least one year. The organization recruits two categories of employees - fresh graduates and those who have at least five years of experience in the Indian Army. In both cases a new recruit should be less than 30 years of age. Among the travelers from same profession, those with military background are at least five years older than the travelers who joined as fresh graduates. Identify the travelers who joined the organization as fresh graduate(s): 

From the information we can conclude that there are at least 2 engineers and 1 doctor. Also there are more than 2 teachers. Hence, there is only one possibility when there are 3 teachers, 2 engineers and 1 doctor. It is given that two engineers are from Bangalore and Chennai.  It is given that 1 teacher is from Kochi.  Also, the profession of the person who is from Kolkata is same as that of the person who got down at Mughal Sarai. Both of these persons can be teacher only. We are given that the doctor is not from Mumbai. Hence, we can say that the doctor is from Hyderabad. 

Also the age of the teacher who hail from Kochi = 31 + 4 = 35 years. Tabulating the information, 

We also know that one of two teacher who hail from Kochi and Mumbai got down at Mughal Sarai. Also it is given that the person who got down at Mughal Sarai is less than 34 years old. Hence, we can say that the person who hail from Mumbai got down at Mughal Sarai whose age is between 31 to 34.

It is also given that when the teachers are arranged in increasing order of age, the middle person is as old as the engineer from Chennai.

We know that the teacher from Kolkata is the eldest among all. Hence, we can say that the engineer from Chennai is as old as teacher from Kochi. Also, the engineer from Bangalore is older than the engineer from Chennai. Hence, we can say that the engineer from Bangalore is older than 35 years old. 

It is given that the person from Bangalore, Chennai, Hyderabad and Mumbai got down at four different stations. The eldest among these four got down at Koderma and the youngest at Kanpur. We can see that the person who hail from Bangalore is the eldest the person from Hyderabad is the youngest. Hence, they will get down at Koderma and Kanpur respectively. 

Also, the person who got down at New Delhi is older than the person who got down at Mughal Sarai. Hence, we can say that the person who hail from Chennai got down at New Delhi. 

As the six travellers are working in the same organisation for at least one year and some are five years older than the fresh graduates, the present age of fresh graduates must be less than or equal to 35 years and more than or equal to 31 years. Three people satisfy the above conditions. They are the teacher from Mumbai and Kochi and the younger engineer. Hence, option E is the correct answer.