For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : How many students passed in all the three subjects ?

For an examination consisting of three subjects -Maths Physics and Che

1.	For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : How many students passed in all the three subjects ?
Answer» 185 175 170 171 Solution :Total number of students =280 Number of students who PASSED Maths =185 Number of students who passed PHYSICS=210 Number of students who passed CHEMISTRY =222 Students who passed in Maths and Physics=180 Studens who passed in Maths Chemisty =175 Students who passed in Physics and Chemistry =200 ltbgt Number of students who passed in atleast one subject `=280-47=233` `{:(x+w=180,...(i)),(w+z=200,...(ii)),(w+y=175,...(III)),(M+x+w+y=185,...(IV)),(P+x+w+z=210,...(v)),(C+y+w+z=222,...(vi)),(M+P+C+y+x+z+w=233,...(viii)),(By(iv)+(v)+(vi)=(vii)",",),(x+y+z+2w=384,...(viii)),(by(i)+(ii)+(iii)",",),(x+y+z3w+555,...(ix)),(By(ix)-(viii)",",),(w=171,),("From equation" (i)",",),(z=200-171=29,),("From equation"(iii)",",),(y=175-171=4,),(M=185-4-9171=1,),(P=210-9-171-29=1,),(C=222-4-29-171=18,):}` Number of studetns who have passeed in all three subject =171