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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 nonvegetarian.
Q. Select the correct answer using the codes given below:
a)1 only
b)2 only
c) Neither 1 nor 2
d) Both 1 and 2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a conference, out of a total 100 participants, 70 are Indians. If 6...
Let’s try to maximise the number of Indian-Vegetarians. Out of 70 Indians, all vegetarians (i.e, 60) can be Indians. So, at least 10 Indians will be there who will be non-vegetarians. This number can increase depending on the number of vegetarian-Indians.
Let’s try to minimise the number of Indian-Vegetarians. For that we have maximise the number of non-Indian-Vegetarians. Out of 30 Non-Indians, at max all can be vegetarian. Still 30 vegetarians remain which will fall under Indian category. So, at least 30 Indians will be there who will be vegetarians. Hence both statements are correct.
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In a conference, out of a total 100 participants, 70 are Indians. If 6...
Solution:

Given, total number of participants = 100
Number of Indians = 70
Number of vegetarians = 60

To solve the problem, we need to find out if at least 30 Indian participants are vegetarian and if at least 10 Indian participants are non-vegetarian.

1. At least 30 Indian participants are vegetarian.

Let's assume that all the non-Indian participants are vegetarians. In that case, the maximum number of Indian non-vegetarians can be 30 (because the total number of vegetarians is 60). Therefore, at least 40 Indians must be vegetarians.

So, statement 1 is true.

2. At least 10 Indian participants are non-vegetarian.

As we have already seen, the maximum number of Indian non-vegetarians can be 30. Therefore, the minimum number of Indian vegetarians can be 40. So, statement 2 is also true.

Hence, the correct answer is option (d) Both 1 and 2.
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In a conference, out of a total 100 participants, 70 are Indians. If 6...
Correct answer is Option 'C'.
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In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.The following information is also available:I. The number of participants in javelin was exactly half the number of participants in each of the other events.II. USA sent an equal number of participants in shot put, high jump and long jump.III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.VII. The number of participants in the marathon event sent by all the other countries other than China is equal.Q. How many countries did not send even a single participant in any one event?

Group QuestionAnswer the following question based on the information given below.In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.The following information is also available:I. The number of participants in javelin was exactly half the number of participants in each of the other events.II. USA sent an equal number of participants in shot put, high jump and long jump.III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.VII. The number of participants in the marathon event sent by all the other countries other than China is equal.Q. For which event did China send the maximum number of Marks participants?

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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 nonvegetarian.Q. Select the correct answer using the codes given below:a)1 onlyb)2 onlyc) Neither 1 nor 2d) Both 1 and 2Correct answer is option 'D'. Can you explain this answer?
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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 nonvegetarian.Q. Select the correct answer using the codes given below:a)1 onlyb)2 onlyc) Neither 1 nor 2d) Both 1 and 2Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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 nonvegetarian.Q. Select the correct answer using the codes given below:a)1 onlyb)2 onlyc) Neither 1 nor 2d) Both 1 and 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 nonvegetarian.Q. Select the correct answer using the codes given below:a)1 onlyb)2 onlyc) Neither 1 nor 2d) Both 1 and 2Correct answer is option 'D'. Can you explain this answer?.
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