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Question

A student has to pass in atleast two subjects to get promoted. How many students got promoted?

A
180
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B
213
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C
200
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D
185
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E
Inadequate data
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Solution

The correct option is B 213
Number of students =280
Cleared Maths =185
Cleared Physics =210
Cleared Chemistry =222
Students who passed in Maths and Physics =180
Students who passed in Maths and Chemistry =175
Students who passed in Physics and Chemistry =200
Number of students who passed in atleast one subject =28047=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(vii)
By Eqs:- (iv)+(v)(vi)(vii)
x+y+z+2w=384
By Eqs:- (i)+(ii)+(iii)
x+y+z+3w=555(ix)
(ix)(viii)×w=171
From Eq. (i) x=9
From Eq. (ii) z=200717=29
From Eq. (iii) y=175171=4M=18549171=1P=210917129=1C=222429171=18

Required students who got promoted =x+y+z+w=9+29+4+171=213

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