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Quantitative Aptitude

Dependent Events

In a class of...

Question

In a class of 31 students. 15 of the students study History,12 of the students study Geography,7 study both History and Geography.How many students study neither History nor Geography?

A

9

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B

11

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C

7

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D

8

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Solution

The correct option is B
11

Number of students who study none = 31-(15+12-7) = 31-20 = 11

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Similar questions

Q. In a school, students are offered subjects in such a manner that they have to choose at least one subject from History and Geography.

Accordingly: All students who study History also study Geography, logically implies:
I. There are no students who study Geography and do not study History.
II. There are no students who study History and do not study Geography.
III. There are no students who do not study History and do not study Geography.
IV. All students who do not study Geography are students who study History.

Q. In a class of 50 students it was found that 27 study History ,27 study civics,25 study economics, 15 study both history and civics , 16 study both civics and economics , 14 study both history and economics , 9 study all the three subjects. Find
1. How many study Economics only
2. How many students do not study any of the three subjects
3. How many study Economics but not civics.

Q. Directions:- Study the following information carefully to answer the question given below.

Seven students A, B, C, D, E, F and G from three different Colleges X, Y and Z study different subjects viz. Psychology, Sociology, History, Geography, Economics, Accountancy and English not necessarily in the same order. At least two students study in each college. D studies Psychology in College X with only F. B studies English and E studies Geography but none of them studies in College Y. The one who studies Sociology studies in College Z. G studies Accountancy and C studies History.

Which of the following pair of students studies in college Y?

Q. Directions:- Study the following information carefully to answer the question given below.

Seven students A, B, C, D, E, F and G from three different Colleges X, Y and Z study different subjects viz. Psychology, Sociology, History, Geography, Economics, Accountancy and English not necessarily in the same order. At least two students study in each college. D studies Psychology in College X with only F. B studies English and E studies Geography but none of them studies in College Y. The one who studies Sociology studies in College Z. G studies Accountancy and C studies History.

Who studies Sociology?

Q. Directions:- Study the following information carefully to answer the question given below.

Seven students A, B, C, D, E, F and G from three different Colleges X, Y and Z study different subjects viz. Psychology, Sociology, History, Geography, Economics, Accountancy and English not necessarily in the same order. At least two students study in each college. D studies Psychology in College X with only F. B studies English and E studies Geography but none of them studies in College Y. The one who studies Sociology studies in College Z. G studies Accountancy and C studies History.

A studies in which of the following colleges?

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