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Bunuel
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Bunuel
A total of 100 employees participated in a survey. The employer asked the employees to vote for the vacation destination that they like. One can choose one or more destination out of 3 choices viz. Dubai, Melbourne, and Paris. Only 30 employees voted for Dubai whereas 70 employees voted for Paris. If it is given that 60 employees voted for Melbourne and none of the employees voted for all three cities, then find out the ratio of the number of employees who voted for exactly one city to the number of employees who voted for more than one city.

A. 1:2
B. 2:1
C. 2:3
D. 2:5
E. 5:2

­
Let I , II, and III denote one only, two only and three only.

I + II + III = 100

I+ 2II + 3III = 160

Subtracting both equations, we get

II + 2III = 60

Given III = 0

There fore II = 60

Ratio of one : more than one = 40:60 = 2:3

Option C
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a+d+f=30
b+d+g=60
c+f+g=70
a+b+c+f+g+c=100
solving
a+b+c=40
d+f+g=60
answer is 2:3
C
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