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Draw the Vennn diagrems to illustrate the following relationship among the sets E,M and U , where E is the set of students studying English in a school , M is the set of students studying Mathematics in the same scholl , U is the set of all students in that school . (i) All the students who study Mathematics study English , but some students who study English do not study Matchematics . (ii) There is not students who studies both Mathematics and English. (iii) Some of the students study Mathematics but do not study English , some study English but do not study Mathematics , and some study both . (iv) Not all students study Matchematics , but every student studyin English studies Mathematics.

In a class, 40% of students study maths and science and 60 % of student study maths. What is the probability of a student studying science given the student is already studying maths?

The diagram represents the number of students studying different subjects. What is the number of students who study History and Biology?

The ratio of successful students to the failed students is

Each of question given below is based on the given diagram. The diagram show students studying either Physics, Chemistry, Biology or combinations of these subjects. Which of the following is NOT represented in the above diagram ? 1)The students who study Biology, Chemistry as well as Physics. 2)The students who study Chemistry and Biology but not Physics 3)The students who do not study any of the three subjects. 4) The students who study Biology but not Physics and Chemistry. 5) The students who study Physics and Chemistry but not Biology.

The number of students appeared from a school for the Madhyamik Examination in three consecutive years are in the ratio 7:8:10 and 75%, 87.5% and 93.75% of the students of respective years were successful. What is the percentage of students who were successful during these three years taken together?

Number of students studying Commerce from institute D is what per cent of the total number of students studying all the disciplines together from this institutes?