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.
200 students who passed in Physics also passed in Chemistry :
A students has to pass at leas two subjects to get promoted. How many students get promoted ?

Options

A. 180
B. 213
C. 200
D. 185

Answer

B

Explanation

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,):}`
Required answer
`=x+y+z+w`
`9+29+4+171+=213`