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Q49 (CISF/2022) Miscellaneous & General Knowledge › Important Days, Places & Events

In a group of 30 students, each student has opted for at least one of the two subjects, Hindi and English. Twelve of them have opted for Hindi and twenty-two have opted for English. The number of students who have opted for only English is :

Result
Your answer: —  Â·  Correct: B

Explanation

To find the number of students who opted for only English, we use the principle of set theory. Let H represent the set of students who opted for Hindi and E represent the set of students who opted for English.

  • Total students in the group: n(H ∪ E) = 30
  • Students who opted for Hindi: n(H) = 12
  • Students who opted for English: n(E) = 22

Using the inclusion-exclusion formula:
n(H ∪ E) = n(H

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SIMILAR QUESTIONS

CAPF · 2011 · Q29 Relevance score: 2.28

In a class of 84 students, boys and girls are in the ratio of 5 : 7. Among the girls 7 can speak Hindi and English, 50 per cent of the total students can speak only Hindi, The ratio of the number of students speaking only Hindi to that speaking only English is 21 : 16. The ratio of the number of boys speaking English only to that of girls speaking English only is 3 : 5. How many girls can speak Hindi ?

CAPF · 2011 · Q27 Relevance score: 2.24

In a class of 84 students, boys and girls are in the ratio of 5 : 7. Among the girls 7 can speak Hindi and English, 50 per cent of the total students can speak only Hindi, The ratio of the number of students speaking only Hindi to that speaking only English is 21 : 16. The ratio of the number of boys speaking English only to that of girls speaking English only is 3 : 5. What is the number of girls who speak English only ?

CAPF · 2011 · Q28 Relevance score: 2.22

In a class of 84 students, boys and girls are in the ratio of 5 : 7. Among the girls 7 can speak Hindi and English, 50 per cent of the total students can speak only Hindi, The ratio of the number of students speaking only Hindi to that speaking only English is 21 : 16. The ratio of the number of boys speaking English only to that of girls speaking English only is 3 : 5. What is the ratio of number of boys who speak Hindi only to that of girls who speak Hindi only ?

CAPF · 2011 · Q26 Relevance score: 2.17

In a class of 84 students, boys and girls are in the ratio of 5 : 7. Among the girls 7 can speak Hindi and English, 50 per cent of the total students can speak only Hindi, The ratio of the number of students speaking only Hindi to that speaking only English is 21 : 16. The ratio of the number of boys speaking English only to that of girls speaking English only is 3 : 5. What is the number of boys who speak both the languages ?

CAPF · 2011 · Q30 Relevance score: 2.08

In a class of 84 students, boys and girls are in the ratio of 5 : 7. Among the girls 7 can speak Hindi and English, 50 per cent of the total students can speak only Hindi, The ratio of the number of students speaking only Hindi to that speaking only English is 21 : 16. The ratio of the number of boys speaking English only to that of girls speaking English only is 3 : 5.What is the ratio of the number of boys who speak English to that of girls who do so ?