Next year these tourists decided to visit the same places as they did last year with the following exceptions. The tourists who visited all the three places visited only two of the three places. As a result, 20 tourists opted out of the Hanumantia, 20 opted out of the Khajuraho, while the remaining ones visiting all the three places opted out of the Panchmari. Which of the following statements, then, necessarily follows?
Explanation:
Consider the solution to first question of this set.
Of total 80 people visiting all the three places: 20 opted out of Hanumantia, hence they visited only Panchmari and Khajuraho 20 opted out of Khajuraho, hence they visited only Panchmari and Hanumantia 40 opted out of Panchmari, hence they visited only Khajuraho and Hanumantia
We can draw the following Venn diagram now,
Number of tourists in
Panchmari = 280 + b > 340 [∵ b > 60] Khajuraho = 300 + c < 360 [∵ c < 60] Hanumantia = 200 + b + c = 320
Option (a): If c = 0, then this statement will not be true. Option (b): If b = 61 and c = 60, then this statement will not be true. Option (c): If c = 0, then this statement will not be true.
Hence, option (d).
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