In a conference, out of a total 100 participants, 70 are Indians

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:

  1. 1 only
  2. 2 only
  3. Both 1 and 2
  4. Neither 1 nor 2

Answer

Out of 100 participants, 70 are Indians. So,

Non-Indians = 100 - 70 = 30

If 60 of the total participants are vegetarian, assuming all 30 Non-Indians to be vegetarian, at least 30 Indian participants are still vegetarian. So, first statement is correct.

Similarly, assuming all 30 Non-Indians to be non-vegetarian, at least 10 Indian participants must be non-vegetarian. So, second statement is also correct.

The correct option is C.