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Directions(Q.6 to Q.10 ):

Data given about total number of students visited three towns, read the data carefully and answer the question:

There are 400 students visited three towns A,B and C. Out of total students 20% visited only town A, students visited only town B are 15% less than that of students visited only town A. 18% of total students visited only town C. Student visited town both A & B but not C are 8 less than students visited only town B, students visited town B & C but not A are half the students visited town A & B but not C. Students visited A & C but not B are half the sum of students visited only Town B and only town C together, remaining students visited all the three towns.


Find the total number of students visited at least two town?

a

180

b

106

c

160

d

140

e

120

Answer : Option A
Explanation :

Total students visited only town A = 400× 20100frac{{20}}{{100}} =80

Total students visited only town B = 80×85100frac{{85}}{{100}}=68

Total students visited only town C = 400×18100frac{{18}}{{100}}=72

Total students visited town A & B but not C = 68 -8 = 60

Total students visited town B & C but not A = 602frac{{60}}{2}=30

Total students visited A & C but not B = 68+722frac{{68 + 72}}{2} = 70

Total students visited all the three towns

= 400 – (80 + 68 +72+60+30+70) = 20

Total number of students visited at least two towns

= 60 + 30 + 70 + 20 = 180

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