In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?

At least 30 Indian participants are vegetarian.

At least 10 Indian participants are non-vegetarian.

Select the correct answer using the codes given below:

Answer is (c).

Let’s focus on maximizing the number of Indian vegetarians. Out of the 70 Indians, all 60 vegetarians can be considered Indian. This leaves at least 10 Indians who are non-vegetarians. The number of non-vegetarian Indians can increase based on the total number of vegetarian Indians.

Now, let’s aim to minimize the number of Indian vegetarians. To achieve this, we need to maximize the number of non-Indian vegetarians. Out of the 30 non-Indians, all can be vegetarians, leaving 30 vegetarians. However, these 30 vegetarians still fall under the Indian category. Therefore, there will be at least 30 Indians who are vegetarians. Hence, both statements are correct.