The proportion of male student and proportion of vegetarian in a school are…
2024
The proportion of male student and proportion of vegetarian in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.
In class 12, twenty five percent of the vegetarian are male. What is the difference between number of female vegetarian and male non-vegetarian?
- A.
10
- B.
12
- C.
14
- D.
16
Attempted by 303 students.
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Correct answer: D
Answer: 16
Total students = 800. Secondary Section = 80% of 800 = 640. The remaining 160 students are equally divided between Class 11 and Class 12, so each of Class 11 and Class 12 has 80 students.
Males in Class 12 = 60% of 80 = 48. Females in Class 12 = 80 - 48 = 32.
Total vegetarians in school = 53% of 800 = 424. Vegetarians in Secondary Section = 55% of 640 = 352. Vegetarians in Class 11 = 50% of 80 = 40. Therefore vegetarians in Class 12 = 424 - 352 - 40 = 32.
In Class 12, 25% of the vegetarians are male → male vegetarians = 25% of 32 = 8. Hence female vegetarians in Class 12 = 32 - 8 = 24.
Male non-vegetarians in Class 12 = total males in Class 12 - male vegetarians = 48 - 8 = 40.
Required difference = |female vegetarians − male non-vegetarians| = |24 - 40| = 16.