Answer
Verified
396.3k+ views
Hint: First let us calculate individual failing of the students in both the subjects from there we can use the logic that
\[{\text{ = 100% - (fail% )}}\], and on using above equation we can obtain our required answer.
Complete step by step answer:
As given that \[{\text{17% }}\]failed in both the subjects, and \[{\text{42% }}\]students failed in mathematics and \[{\text{52% }}\]failed in science.
The number of students that only failed in mathematics\[{\text{ = 42 - 17 = 25% }}\]
The number of students that only failed in science\[{\text{ = 52 - 17 = 35% }}\]
And so the total numbers of failed students only in maths, only in science and both maths and science are
\[
{\text{ = 35 + 25 + 17% }} \\
{\text{ = 77% }} \\
\]
Hence, students passed in both the subjects are
\[
{\text{ = 100% - (fail% )}} \\
{\text{ = 100 - (77)% }} \\
{\text{ = 23% }} \\
\]
Hence, there are 23% of students who passed in both subjects.
Note: We can also proceed with the question using the Venn-diagram method, A Venn diagram also called the primary diagram, set diagram, or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane and sets as regions inside closed curves.
\[{\text{ = 100% - (fail% )}}\], and on using above equation we can obtain our required answer.
Complete step by step answer:
As given that \[{\text{17% }}\]failed in both the subjects, and \[{\text{42% }}\]students failed in mathematics and \[{\text{52% }}\]failed in science.
The number of students that only failed in mathematics\[{\text{ = 42 - 17 = 25% }}\]
The number of students that only failed in science\[{\text{ = 52 - 17 = 35% }}\]
And so the total numbers of failed students only in maths, only in science and both maths and science are
\[
{\text{ = 35 + 25 + 17% }} \\
{\text{ = 77% }} \\
\]
Hence, students passed in both the subjects are
\[
{\text{ = 100% - (fail% )}} \\
{\text{ = 100 - (77)% }} \\
{\text{ = 23% }} \\
\]
Hence, there are 23% of students who passed in both subjects.
Note: We can also proceed with the question using the Venn-diagram method, A Venn diagram also called the primary diagram, set diagram, or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane and sets as regions inside closed curves.
Recently Updated Pages
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
What are the possible quantum number for the last outermost class 11 chemistry CBSE
Is C2 paramagnetic or diamagnetic class 11 chemistry CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE