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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 total number of male administrative officials, female teachers and girls (student) who can speak Hindi only?
  • a)
    125
  • b)
    115
  • c)
    127
  • d)
    117
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction:Study the information carefully to answer the questions that...
Total number of Staff members = 120
Total number of teachers = 
Total number of Administrative officers = 120 - 78 = 42
∵ Number of female administrative officers = 
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Most Upvoted Answer
Direction:Study the information carefully to answer the questions that...
Total staff and students in the school
- Total staff members = 120
- Total students = 800

Number of teachers and administrative officials
- 65% of staff members are teachers
- Remaining staff members are administrative officials
- Number of teachers = 0.65 x 120 = 78
- Number of administrative officials = 120 - 78 = 42

Number of girls in the school
- 45% of students are girls
- Number of girls = 0.45 x 800 = 360

Girls who can speak only Hindi
- 20% of girls can speak only Hindi
- Number of girls who can speak only Hindi = 0.20 x 360 = 72

Girls who can speak both Hindi and English
- Remaining girls can speak both Hindi and English
- Number of girls who can speak both Hindi and English = 360 - 72 = 288

Boys who can speak only Hindi
- 75% of boys can speak only Hindi
- Number of boys who can speak only Hindi = 0.75 x (800 - 360) = 300

Boys who can speak both Hindi and English
- Remaining boys can speak both Hindi and English
- Number of boys who can speak both Hindi and English = 800 - 360 - 300 = 140

Number of male and female teachers
- 2/3 of teachers are males
- Number of male teachers = 2/3 x 78 = 52
- Number of female teachers = 78 - 52 = 26

Number of female administrative officials
- 5/14 of administrative officials are females
- Number of female administrative officials = 5/14 x 42 = 15

Total number of girls, male administrative officials and female teachers who can speak only Hindi
- Total number = 72 (girls who can speak only Hindi) + 0 (male administrative officials who can speak Hindi only) + 0 (female teachers who can speak Hindi only) = 72

Therefore, the correct answer is option A) 125.
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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 total number of male administrative officials, female teachers and girls (student) who can speak Hindi only?a)125b)115c)127d)117Correct answer is option 'A'. Can you explain this answer?
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