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In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females. Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females. Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.
Q. What is the number of female athletes who participated in exactly two categories of race?
  • a)
    20 
  • b)
    21 
  • c)
    23 
  • d)
    24 
  • e)
    25
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
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Females = 5 + 8 + 8 = 21
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Analysis:
First, let's calculate the total number of female athletes in each category based on the given information:

100m Race:
- Number of athletes participating only in 100m race = 30% of 200 = 60 athletes
- 1/3rd of 60 athletes are females, so the number of female athletes in this category = 1/3 * 60 = 20

200m Race:
- Number of athletes participating only in 200m race = 15% of 200 = 30 athletes
- 40% of 30 athletes are females, so the number of female athletes in this category = 40% * 30 = 12

400m Race:
- Number of athletes participating only in 400m race = 1/4 of 200 = 50 athletes
- Half of 50 athletes are females, so the number of female athletes in this category = 1/2 * 50 = 25

100m and 200m Race (but not 400m):
- Number of athletes in this category = 1/10 of 200 = 20 athletes
- 1/4 of 20 athletes are females, so the number of female athletes in this category = 1/4 * 20 = 5

100m and 400m Race (but not 200m):
- Number of athletes in this category = 7.5% of 200 = 15 athletes
- 8/15 of 15 athletes are females, so the number of female athletes in this category = 8/15 * 15 = 8

All Three Categories:
- Number of athletes in this category = 1/20 of 200 = 10 athletes
- 1/5 of 10 athletes are females, so the number of female athletes in this category = 1/5 * 10 = 2

Calculation:
- Total number of female athletes who participated in exactly two categories = 20 + 12 + 25 + 5 + 8 = 70
- Subtract the number of female athletes who participated in all three categories (2) from the total, so 70 - 2 = 68
- Since the question asks for the number of female athletes who participated in exactly two categories, we exclude those who participated in all three categories.
- Therefore, the number of female athletes who participated in exactly two categories of race is 68 - 12 = 56
Therefore, the correct answer is 56 (option B).
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Directions: Read the following information to answer the questions.In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females. Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females. Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.Q. What is the number of female athletes who participated in exactly two categories of race?a)20b)21c)23d)24e)25Correct answer is option 'B'. Can you explain this answer?
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Directions: Read the following information to answer the questions.In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females. Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females. Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.Q. What is the number of female athletes who participated in exactly two categories of race?a)20b)21c)23d)24e)25Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Directions: Read the following information to answer the questions.In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females. Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females. Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.Q. What is the number of female athletes who participated in exactly two categories of race?a)20b)21c)23d)24e)25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following information to answer the questions.In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females. Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females. Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.Q. What is the number of female athletes who participated in exactly two categories of race?a)20b)21c)23d)24e)25Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions: Read the following information to answer the questions.In a sports event there are three categories of race (100 m, 200 m, 400 m). Total 200 athletes participated in that event. The number of athletes who participated only in 100m race is 30% of total number of athletes, and among them 1/3rd are females. Number of athletes who participated in 200m race only is 15% of total number of athletes and among them 40% are females. Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.Q. What is the number of female athletes who participated in exactly two categories of race?a)20b)21c)23d)24e)25Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
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Number of athletes who participated only in 400m race is 1/4 of total number of athletes and among them half are females. Number of athletes who participated in 100m and 200m race but not in 400m race is 1/10 of total number of athletes and among them 1/4 are females. Number of athletes who participated in 100m and 400 m race but not in 200 m is 7.5% of total number of athletes and among them 8/15 are females. Number of athletes who participated in all three categories is 1/20 of total number of athletes and among them 1/5 are females. Number of female atheletes who participate 200m and 400 m race but not in 100m race is 8/15.Q. What is the number of female athletes who participated in exactly two categories of race?a)20b)21c)23d)24e)25Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: Read the following information to answer the questions.In a sports event there are three categories of race (100 m, 200 m, 400 m). 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