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In a survey of xavirs's school of Bhubaneswar of 200 students, It was found that 120 study math, 90 study physics, 70 study shemistry, 40 study math and physics, 30 study physics and chemistry, 50 study chemistry and math and 20 study none of these subjects then the number of students study all the subjects is :

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 survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry , 40 study Mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and Mathematics and 20 none of these subjects. Find the number of students who study all the three subjects.

In a class, 40% students study mathematics, 25% study biology and 15 % study both mathematics and biology. One student is selected at random. Find the probability that (i) he studies mathematics if it is known that he studies biology (ii) he studies biology if it is known that he studies mathematics.

In a class, 30% students study English, 15% study Hindi and 10% study both English and Hindi. One student is selected at random. Find the probability that (i) He studies English if it known that he Hindi (ii) He studies Hindi if it is known that he studies English

In a University there are 1200 students studying four different subjects, Mathematics, Statistics, Physics and Chemistry. 20% of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, 320 students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry are girls. 150 boys are studying Mathematics. 60% of students studying Physics are boys. 250 girls are studying Statistics. What is the total number of boys studying Statistics and Physics ?

In a University there are 1200 students studying four different subjects, Mathematics, Statistics, Physics and Chemistry. 20% of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, 320 students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry are girls. 150 boys are studying Mathematics. 60% of students studying Physics are boys. 250 girls are studying Statistics. In which subjects is the difference between the number of boys and girls equal ?

In a University there are 1200 students studying four different subjects, Mathematics, Statistics, Physics and Chemistry. 20% of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, 320 students are studying Statistics and remaining students are studying Chemistry. Three-fifth of the total number of students studying Chemistry are girls. 150 boys are studying Mathematics. 60% of students studying Physics are boys. 250 girls are studying Statistics. What is the ratio of the total number of boys to the total number of girls ?

P, Q, R, S, T. W and Z are seven students studying in three different institutes A, B and C. There are three girls among the seven students who study in each of the three institutes. Two of the seven students study BCA, two study Medicine and one each studies Aviation Technology, Journalism and MBA. R studies in the same college as P who studies MBA in college B. No girl studies Journalism or MBA. T studies BCA in college A and his brother W studies Aviation Technology in college C. S studies Journalism in the same college as Q. Neither R nor Z studies BCA. The girl who studies BCA does not study in college C Which of the following pairs of students study medicine?