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In a group of 450 students, 22% of the total students take the Hindi subject, 34% of the total students take the Physics subject, and 26% of the total students take the Social Science subject. 8% of the total students have taken both Hindi and Physics subject only. Out of the total students in the Hindi subject, 1/3 have taken both Hindi and Social Science subject only. Out of the total students in the Physics subject, 1/3 have taken both Physics and Social Science subject only. Only 20 students take all the three subjects. Find the number of students who have not taken any subject.  
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?
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 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?
The 2018 Nobel Prize in Physics has been awarded in laser physics for the optical tweezers and their applications to biological systems for the method of generating high-intensity, ultra-short optical pulses. Which of the following verifies the given statement? I:  The 2018 Nobel Prize in Physics has been awarded in laser physics for the optical tweezers. II: The 2018 Nobel Prize in Physics has been awarded for applications of the optical tweezers to biological systems. III: The 2018 Nobel Prize in Physics has been awarded for the method of generating high-intensity, ultra-short optical pulses using the optical tweezers.
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 competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, 75 students for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics?
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?