CAT Exam  >  CAT Questions  >   Gro... Start Learning for Free
                                                                                     Group Question
Answer 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? 
  • a)
    Shot put
  • b)
    Javelin
  • c)
    High jump
  • d)
    Marathon
  • e)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the fol...
Solution: The five different countries were USA, China, UK, Australia and Japan. The five different events were shot put, javelin, high jump, long jump and marathon.
The total number of participants was a perfect square, and the number of participants sent by each country was at least two and at most ten.
The number of participants was more than 18 and less than 50.
Let the total number of participants in javelin be x. From statement (I), the total number of participants in shot put, high jump, long jump and marathon was 2x each.
Total number of participants = 9x As the total number of participants was a perfect square, and 9 is a perfect square, x is a perfect square. As 18<9x<50, x = 4 The total number of participants was 36.
There were 4 participants in Javelin and 8 in each of the remaining events.
From statement (IV), the number of participants sent by each country was as follows: China = 10, USA = 8, UK = 7, Australia = 6, Japan = 5
From statement (V), every country other than Japan sent 1 participant each for the javelin event. Also, Japan sent at least one participant for each of the other events and from 3, Japan sent its maximum participants for Long Jump. Japan sent 2 participants for Long Jump and 1 each for the other three events. From 7, all countries except China sent an equal number of participants for Marathon. China sent 4 participants for marathon and the others sent 1.
From (II), USA sent 2 participants each for shot put, high jump and long jump.
From (VI), China sent no participants for high jump.
It sent 2 and 3 participants for Shot put and Long jump. If it sent 3 participants for long jump, then either UK or Australia would send no participants for Long jump, which is not possible by statement 3.
China sent 3 and 2 participants respectively for shot put and long jump.
From (III), UK and Australia sent 1 participant each for Long Jump and Shot put.
We have the following : 
China sent the maximum number of participants for Marathon. Hence, option 4.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Group QuestionAnswer the fol...
Understanding the Problem
To determine which event China sent the maximum number of participants to, we need to analyze the provided information thoroughly.
Key Information Breakdown
- Total Participants: The total number of participants is a perfect square, between 10 and 50 (since the maximum is 10 per country).
- Participants in Javelin: The number of participants in javelin is exactly half of those in the other events.
- USA's Participants: USA has an equal number of participants in shot put, high jump, and long jump.
- Japan's Participants: Japan has the maximum participants for long jump and at least one in every event except javelin.
- China's Participants: China has two more participants than USA, who has one more than UK, who has one more than Australia, who has one more than Japan.
- China's Event Participation: China has different numbers for each event and does not participate in high jump.
- Marathon Participants: The number of marathon participants from countries other than China is equal.
Calculating Participants
1. Let the number of participants from Japan be 'x'.
- Australia: x-1
- UK: x-2
- USA: x-3
- China: x-1
2. The total participants across all countries must be a perfect square.
3. From the conditions, we can deduce numbers for each event, particularly focusing on China’s participation since it varies across events.
Conclusion
Given that China does not participate in high jump, the maximum participation can only occur in shot put, javelin, marathon, or long jump. Since the exact distribution of numbers is not explicitly provided, it cannot be definitively stated which event had the maximum participants from China.
Thus, the correct answer is option 'D' - "Cannot be determined."
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

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?

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. Which country sent the maximum number of participants for the high jump event?

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. Considering all the participants sent by the five countries put together, how many instances were there wherein exactly one participant was sent by a country for an event?

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. Which among the following is definitely FALSE?

'Aashapurna housing society' has apartments in two wings: east wing and west wing. On occasion of Christmas there is a get-together event being organized by the working committee (WC) of the society. An event comprising a quiz competition, a dumb charades game and a spin the bottle game is to take place, but since all residents of society cannot participate, a pre-final event within the east and west wings takes place separately and selected participant out of these events would compete in final against each other. Secretary of east wing of society supervises the games within his wing and allows each resident to take part in only one game of their choice. All participants of quiz contest are asked 50 questions each and get 1 point for 1 correct answer and 0 point for a wrong answer. All participants of dumb charade are given 50 chances to guess names of 50 movies, and get 1 point for 1 correct guess provided they do not guess a wrong movie name, after which they are considered out of game. Each participant of spin the bottle play 50 rounds of game together and winner of each round gets 1 point and others get 0 point. So, if there are 'n' number of participants then we get '50n' rounds. The game is based on sheer chance. After all games are conducted, the points distribution for East wing residents for quiz competition turned out to be as given below. The similar score was observed for the other two games as well.Answer following questions based on the above information, considering that the following questions are for the final rounds that are to be conducted:A team comprising of 10 participants is to be selected for spin the bottle, what should be the criteria for selection of the team to make sure best participants get selected?

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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
Question Description
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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
Solutions for 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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?a)Shot putb)Javelinc)High jumpd)Marathone)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev