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 of the following Venn diagrams indicates the best relationship between Children, Naughty and Studious?
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- Observe the figure and answer the question: What is the sum of the numbers which belong to any two figures only? \includegraphics[width=0.5\linewidth]{Q38.png}
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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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- Which of the following group best represented by the figure below:
(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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Questions Asked in JEE Main exam
Consider the following sequence of reactions :
Molar mass of the product formed (A) is ______ g mol\(^{-1}\).- JEE Main - 2025
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- A group 15 element forms \( d\pi - d\pi \) bond with transition metals. It also forms a hydride, which is the strongest base among the hydrides of other group members that form \( d\pi - d\pi \) bonds. The atomic number of the element is ________________________.
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- Chemical bonding and molecular structure
- Let \( M \) denote the set of all real matrices of order 3 x 3 and let \( S = \{-3, -2, -1, 1, 2\} \). Let
\( S_1 = \{A = [a_{ij}] \in M : A = A^T \text{ and } a_{ij} \in S, \forall i, j\} \),
\( S_2 = \{A = [a_{ij}] \in M : A = -A^T \text{ and } a_{ij} \in S, \forall i, j\} \),
\( S_3 = \{A = [a_{ij}] \in M : a_{11} + a_{22} + a_{33} = 0 \text{ and } a_{ij} \in S, \forall i, j\} \).
If \(n(S_1 \cup S_2 \cup S_3) = 125\), then \( \alpha \) equals:- JEE Main - 2025
- Linear Algebra
- Let the lines \[ 3x - 4y - \alpha = 0, \quad 8x - 11y - 33 = 0, \quad 2x - 3y + \lambda = 0 \] be concurrent. If the image of the point \( (1, 2) \) in the line \[ 2x - 3y + \lambda = 0 \text{ is } \left( \frac{57}{13}, \frac{-40}{13} \right), \text{ then } |\alpha \lambda| \text{ is equal to:} \]
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- Matrices and Determinants
In the first configuration (1) as shown in the figure, four identical charges \( q_0 \) are kept at the corners A, B, C and D of square of side length \( a \). In the second configuration (2), the same charges are shifted to mid points C, E, H, and F of the square. If \( K = \frac{1}{4\pi \epsilon_0} \), the difference between the potential energies of configuration (2) and (1) is given by:
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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
