IBPS PO Mains 2015 Paper for online practice

(61-65):
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
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 = 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 ....(vii)
By (iv) + (v) + (vi) – (vii),
x + y + z + 2w = 384 ....(viii)
by (i) + (ii) + (iii),
x + y + z + 3w = 555 ....(ix)
By (ix) – (viii),
w = 171
From equation (i),
x = 9
From equation (ii),
z = 200 – 171 = 29
From equation (iii),
y = 175 – 171 = 4
M = 185 – 4 – 9 – 171 = 1
P = 210 – 9 – 171 – 29 = 1
C = 222 – 4 – 29 – 171 = 18
Number of students passed in Chemistry only = 18