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?
1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are non-vegetarian.

Select the correct answer using the codes given below:

Correct Option: Both 1 and 2

Total participants = 100. Indians = 70, so Non-Indians = 100 - 70 = 30. Vegetarian participants = 60, so Non-vegetarian participants = 100 - 60 = 40. We need to test the statements: 1. 'At least 30 Indian participants are vegetarian.' To minimize the number of vegetarian Indians, we should make as many non-Indians vegetarian as possible. Non-Indians = 30. If all 30 non-Indians are vegetarian, then out of 60 vegetarians, the remaining vegetarians must be Indian: 60 - 30 = 30 Indians. Thus, the minimum number of Indian vegetarians is 30. Statement 1 is correct. 2. 'At least 10 Indian participants are non-vegetarian.' To minimize non-vegetarian Indians, we make as many non-Indians non-vegetarian as possible. Non-Indians = 30. Total non-vegetarians = 40. If all 30 non-Indians are non-vegetarian, the remaining non-vegetarians must be Indian: 40 - 30 = 10 Indians. Thus, the minimum number of non-vegetarian Indians is 10. Statement 2 is also correct. Therefore, both statements 1 and 2 are correct.