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A group of students appeared in an examination of subjects - Mathematics, Physics & Chemistry. It was found that all students passed in at least one of the subjects, students passed in Mathematics, students passed in Physics, students passed in Chemistry, at most students passed in both Mathematics and Physics, at most students passed in both Physics and Chemistry, at most students passed in both Mathematics and Chemistry. The maximum number of students passed in all the three subjects is _____.

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Important Questions on Set Theory and Relations
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both the roots of are real and
Which of the following is not true?

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HARD
Let , where each contains elements and each contains elements. If each element of the set is an element of exactly of sets 's and exactly of sets 's then is equal to :


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HARD
families own at least one of a car or a phone.
families live in the town.
Then:

EASY

EASY
In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above statement?

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families own both a car and a phone.
families own either a car or a phone.
families live in the town.
Then,

EASY

HARD

EASY


EASY

EASY

EASY

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