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Standard XII
Mathematics
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In a school, ...
Question

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.

A
I and II
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B
I and III
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C
II and III
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D
II and IV
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Solution

The correct option is D II and III
All students who study History also study Geography
There can be some students who study geography but not history.
Clearly, there are no students who study history and do not study geography & vice-versa.
Hence, Option C is correct.


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Q.

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?


Q.

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

P, Q, R, S, T, V and W are seven students of a school. Each of them studies in different standards from standard IV to standard X not necessarily in the same order. Each of them has favourite subject from English, Science, History Geography, Mathematics, Hindi and Sanskrit not necessarily in the same order.
Q studies in VII standard and does not like either Mathematics or Geography. R likes English and does not study either in V or in IX. T studies in VIII standard and likes Hindi. The one who likes Science studies in X standard. S studies in IV standard. W likes Sanskrit. P does not study in X standard. The one who likes Geography studies in V standard.

Which subject does P like?


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

P, Q, R, S, T, V and W are seven students of a school. Each of them studies in a different standard from Standard IV to Standard X not necessarily in the same order. Each of them has a favourite subject from English, Science, History, Geography, Mathematics, Hindi and Sanskrit not necessarily in the same order.
Q studies in VIIth standard and does not like either Mathematics or Geography. R likes English and does not study either in V or in IX. T studies in VIIIth standard and likes Hindi. The one who likes Science studies in Xth standard. S studies in IVth standard. W likes Sanskrit. P does not study in Xth Standard. The one who likes Geography studies in Vth Standard.

Which subject does P like?
Q. Directions:- Study the following information carefully to answer the question given below.

M, T, D, F, H, R and W are seven students studying in three different Colleges I, II and III with at least two in each college. Each of them has a favourite subject from English, History, Geography, Mathematics, Physics, Chemistry and Biology, not necessarily in the same order. D's favourite subject is Physics and studies in College II with only M. H does not study in College III and he likes English. F studies in College III and does not like Mathematics. Those who like Geography and Chemistry study in the same college. W likes Biology and does not study in College I. R does not study with H. R does not like Chemistry. M does not like History.

What is T's favourite subject?
Q. Study the following table carefully and answer the questions given below: No. of marks obtained by five students in five subjects in an Examination
StudentsEnglishMathHistoryGeogrpahyScienceArun11518012090140Binil170105150135100Chandra102 10813211090Dipin98106162148120Emilia163125126124115
Q. Who among them secured highest total marks in English, History and Geography?
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