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In a school there are total 120 staff members and 800 students. 65 percent of the number of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of students 45 percent are girls. Twenty percent of the number of girls can speak only Hindi. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only Hindi. The remaining boys can speak both Hindi and English. Two-thirds of the number of teachers are males. Five-fourteenths of the number of administrative officials are females.
Q. What is the ratio of the total number of teachers to the number of boys (student) who can speak Hindi only?
  • a)
    11 : 56
  • b)
    13 : 54
  • c)
    13 : 56
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Direction:Study the information carefully to answer the questions that...
Total number of Staff members = 120
∴ Number of teachers = 
Total number of Students = 800
Number of girl students = 
∴ Number of boy students = 800 - 360 = 440
∴ Number of boys who speak only Hindi = 
∴ Ratio = 78 : 330 = 13 : 55
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Most Upvoted Answer
Direction:Study the information carefully to answer the questions that...
Understanding the Total Number of Staff and Students
- Total staff members = 120
- Total students = 800
Calculating Teachers and Administrative Officials
- Percentage of staff who are teachers = 65%
- Number of teachers = 65% of 120 = 78 teachers
- Remaining staff (administrative officials) = 120 - 78 = 42 officials
Breaking Down the Student Population
- Percentage of students who are girls = 45%
- Number of girls = 45% of 800 = 360 girls
- Number of boys = Total students - Number of girls = 800 - 360 = 440 boys
Language Proficiency Among Girls
- Girls who can speak only Hindi = 20% of 360 = 72 girls
- Remaining girls who can speak both languages = 360 - 72 = 288 girls
Language Proficiency Among Boys
- Three-fourths of boys can speak only Hindi = (3/4) of 440 = 330 boys
- Remaining boys who can speak both languages = 440 - 330 = 110 boys
Calculating the Ratio
- Total number of teachers = 78
- Number of boys who can speak Hindi only = 330
Finding the Ratio
- The ratio of teachers to boys who can speak Hindi only = 78:330
- Simplifying this ratio gives: 78/330 = 13/55
Conclusion
- The ratio of the total number of teachers to the number of boys who can speak Hindi only is 13:55.
- Since this does not match any of the provided options, the correct answer is option 'D' (None of these).
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Direction:Study the information carefully to answer the questions that follow:In a school there are total 120 staff members and 800 students. 65 percent of the number of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of students 45 percent are girls. Twenty percent of the number of girls can speak only Hindi. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only Hindi. The remaining boys can speak both Hindi and English. Two-thirds of the number of teachers are males. Five-fourteenths of the number of administrative officials are females.Q.What is the ratio of the total number of teachers to the number of boys (student) who can speak Hindi only?a)11 : 56b)13 : 54c)13 : 56d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Direction:Study the information carefully to answer the questions that follow:In a school there are total 120 staff members and 800 students. 65 percent of the number of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of students 45 percent are girls. Twenty percent of the number of girls can speak only Hindi. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only Hindi. The remaining boys can speak both Hindi and English. Two-thirds of the number of teachers are males. Five-fourteenths of the number of administrative officials are females.Q.What is the ratio of the total number of teachers to the number of boys (student) who can speak Hindi only?a)11 : 56b)13 : 54c)13 : 56d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Direction:Study the information carefully to answer the questions that follow:In a school there are total 120 staff members and 800 students. 65 percent of the number of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of students 45 percent are girls. Twenty percent of the number of girls can speak only Hindi. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only Hindi. The remaining boys can speak both Hindi and English. Two-thirds of the number of teachers are males. Five-fourteenths of the number of administrative officials are females.Q.What is the ratio of the total number of teachers to the number of boys (student) who can speak Hindi only?a)11 : 56b)13 : 54c)13 : 56d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction:Study the information carefully to answer the questions that follow:In a school there are total 120 staff members and 800 students. 65 percent of the number of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of students 45 percent are girls. Twenty percent of the number of girls can speak only Hindi. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only Hindi. The remaining boys can speak both Hindi and English. Two-thirds of the number of teachers are males. Five-fourteenths of the number of administrative officials are females.Q.What is the ratio of the total number of teachers to the number of boys (student) who can speak Hindi only?a)11 : 56b)13 : 54c)13 : 56d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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