Bissoy.com
Doctors Medicines MCQs Q&A

In a class of 130 students, 40 of the students studied both Physics and Chemistry. 75 students studied chemistry. If 30 of them studied neither physics nor chemistry. Then, how many students studied Physics?

In a class of 130 students, 40 of the students studied both Physics and Chemistry. 75 students studied chemistry. If 30 of them studied neither physics nor chemistry. Then, how many students studied Physics? Correct Answer 65

GIVEN:

Total students = 130

Students studied Both Physics and Chemistry = 40

Students studied Chemistry = 75

Students studies neither Chemistry nor physics = 30

CONCEPT:

Venn Diagram.

CALCULATION:

[ alt="F1 Sumit.L nikhil 7-5-2021 D9" src="//storage.googleapis.com/tb-img/production/21/05/F1_Sumit.L_nikhil_7-5-2021_D9.png" style="width: 200px; height: 155px;">

Suppose the total number of student who studied only Physics is x.

⇒ 35 + 40 + x + 30 = 130

⇒ 105 + x = 130

⇒ x = 130 - 105

⇒ x = 25

∴ Number of students who studies physics = 25 + 40 = 65

Related Questions

In a survey of 355 students of a higher secondary school, it was found that 160 studied Mathematics, 110 studied Physics, 95 studied Chemistry, 25 studied Mathematics and Physics only, 22 studied Physics and Chemistry only, 23 studied Chemistry and Mathematics only and 28 studied none of these subjects. Find the number of students who studied all the three subjects.
Among 80 students, 24 passed in Chemistry, 35 passed in Physics and 29 passed in Mathematics, 8 students did not appear for the examination. If 2 students have passed in all the three subjects, 2 students have passed in Physics and Chemistry both but not in Mathematics, 2 students have passed in Chemistry and Mathematics both but not in Physics, and 8 students have passed in Physics and Mathematics both but not in Chemistry, then how many students have passed in Mathematics only?
A junior college inducts students based on the following criteria — 1. Students who scored above 75% in Physics, 85% in Mathematics and 70% in Chemistry. 2. Students who scored at least 60% in English. 3. Students who are good in a sport or play a musical instrument or know a dance form. Which student among the following will the college definitely take? A. Shakti with 80% in Physics, 65% in Chemistry, 85% in Mathematics, 61% in English and plays veena. B. Megha secured 80% in Physics, 87% in Mathematics, 70% in English, 75% in Chemistry and is a singer. C. Sheela secured 78% in Physics, 71% in Chemistry, 87% in Mathematics, 75% in English knows Manipuri folk dance. D. Mallika secured 70% in Chemistry, 70% in Mathematics, 85% in Physics, 65% in English and plays basketball.
In a mid-term exam of class 11, 42% students failed in Mathematics, 54% students failed in Physics and 48% students failed in Chemistry. Only 10% students failed in all the three subjects. 20% students failed in both Physics and Chemistry, 15% students failed in both Chemistry and Mathematics, and 18% students failed in both Physics and Mathematics. What is the percentage of those students who failed in two subjects only?
In class of 105 students out of three subjects Maths, Physics, Chemistry each student studies at least one subject. In Maths 47, in Physics 50, and in Chemistry 52 students studies, 16 in Maths and Physics, 17 in Maths and Chemistry and 16 in Physics and Chemistry students both subjects. What will be the number of those students who study only two subjects?
In class of 105 students out of three subjects Maths, Physics, Chemistry each student studies at least one subject. In Maths 47, in Physics 50, and in Chemistry 52 students studies, 16 in Maths and Physics, 17 in Maths and Chemistry and 16 in Physics and Chemistry students both subjects. What will be the number of students who studies all three subjects?
In a class of 130 students, a class test for two subjects Physics and Chemistry was conducted. (x + 40) students passed in Physics and (x + 30) students passed in chemistry and no student failed in both subjects. If 60 students passed in both subject, then, what is the number of students passed in only physics?
In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Find the number of students who had taken both Physics and Chemistry but not Mathematics.
200 students appeared in a specific examination. There were 80 students who failed in Mathematics. 160 students passed in Physics. 30 students failed in Chemistry. 30 students failed in Mathematics and Physics. 15 students failed in Mathematics and Chemistry. 10 students failed in Physics and Chemistry. 100 students passed in all three subjects. How many students failed in only one subject?
A question is followed by 2 statements. Study the following statements carefully and state whether they are sufficient to answer the question. A student appears in an examination where his marks in biology is 20 marks more than what he got in Physics. Find his marks in biology? Statement I – Average marks of Physics and Chemistry is 71.5. The ratio of marks of Practical and Theory in Physics is 6 ∶ 5 and in chemistry, it is 15 ∶ 7. Statement II –Ratio of marks obtained in the theory exam of physics and chemistry is 1 ∶ 2. The ratio of marks of Physics and Chemistry is 5 ∶ 8.