In a class there are 40 students. 16 passed in Chemistry, 20 passed in Physics, 25 passed in Math. 15 students passed in both Math and Physics.15 students passed in both Math and Chemistry and 10 students passed in both Physics and Chemistry. Find the maximum number of students that passed in all the subjects.
Correct Answer: 19
Solution and Explanation
Top Questions on Venn Diagrams
Which region represents leaders who are neither singers nor Indians?- CUET (PG) - 2023
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- See the Diagram and think about the right responses. i.e. the figure show
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(A) Men, Citizens, Educated
(B) Professionals, Doctors, Lawyers
(C) Diseases, Leprosy, Scurvy
(D) Earth, mountain, Forests
(E) Atmosphere, Water, Hydrogen
Choose the correct answer from the options given below:- CUET (PG) - 2023
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Let f: ℝ → ℝ be defined as
\(f(x) = \left\{ \begin{array}{ll} [e^x] & x < 0 \\ [a e^x + [x-1]] & 0 \leq x < 1 \\ [b + [\sin(\pi x)]] & 1 \leq x < 2 \\ [[e^{-x}] - c] & x \geq 2 \\ \end{array} \right.\)
Where a, b, c ∈ ℝ and [t] denotes greatest integer less than or equal to t.
Then, which of the following statements is true?- JEE Main - 2022
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- In a college 200 students are randomly chosen. 140 like tea and 120 like Coffee and 70 like both tea and coffee.How many like neither tea nor coffee?
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Questions Asked in JEE Main exam
- A convex lens of focal length 40 cm forms an image of an extended source of light on a photo-electric cell. A current \( I \) is produced. The lens is replaced by another convex lens having the same diameter but focal length 20 cm. The photoelectric current now is:
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The portion of the line \( 4x + 5y = 20 \) in the first quadrant is trisected by the lines \( L_1 \) and \( L_2 \) passing through the origin. The tangent of an angle between the lines \( L_1 \) and \( L_2 \) is:
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Concepts Used:
Venn Diagrams
A Venn diagram can be described as a diagram that is used to represent all possible relations of distinct sets. It can be shown by any closed figure whether by a circle or a polygon. In general, circles are used to represent each set.
U reflects the universal set as a closed rectangle comprised of all the sets. The sets and subsets are shown by making use of circles or oval shapes.
Venn Diagram Symbols:
The symbols used while depicting the operations of sets are:
- Union of sets symbol: ∪
- The intersection of sets symbol: ∩
- Complement of set: A’ or Ac
