Directions (Q.1 -Q.5): Read the information given below and answer the questions that follow.
800 tourists visited Delhi, out of them 60% visited India Gate. Tourists who visited Red Fort were equal to the total of
those who visited the India Gate and either Red Fort or Akshardham Temple, but not both. The numbers of tourists visiting
Red Fort and Akshardham Temple are same. Numbers of tourists visiting only Akshardham Temple and only India Gate
were 140 and 190 respectively, Number of tourists who visited all the three places were 1/3rd of those who went to view
India Gate.
How many tourists visited Red Fort?
(a) 480
(b) 410
©
130
d) 140
Answers
Given : Data of tourist Visiting Data
To find : number of tourists who visited Red Fort
Solution:
Total Tourist = 800
India Gate = (60/100) 800 = 480
Visiting only Akshardham = 140
Red Fort R = I ∩ R + I ∩ A - 2(I ∩ R ∩ A)
=> I ∩ R + I ∩ A = R + 2(I ∩ R ∩ A)
only India Gate = 190
All three places I ∩ R ∩ A = 480/3 = 160
Only India Gate = I - I ∩ R - I ∩ A + (I ∩ R ∩ A)
= I - (R + 2(I ∩ R ∩ A)) + (I ∩ R ∩ A)
=> 190 = 480 - (R + 2 * 160) + 160
=> -450 = -(R + 320)
=> R = 130
Tourists visited Red Fort = 130
All three places = 160
Some mistake in Data
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