Directions : A travel company had given huge discounts to its customers in the year 2018 if they traveled to one or more of the following cities: Amritsar, Athens, Kyoto, Hamilton, Salvador, Tel Aviv and Venice. 2487 customers signed up for the deal out of which exactly one-third of the customers went to Athens, Salvador and/or Tel Aviv. No person who went to any of Athens, Salvador and Tel Aviv visited the other four cities.
The following information is known about the customers who travelled to Amritsar, Kyoto, Hamilton, and Venice:
(i) 91 persons travelled to Venice only while 87 persons travelled to Kyoto only.
(ii) 143 persons travelled to Amritsar and Kyoto only. 87 persons travelled to Venice and Hamilton only. 35 persons travelled to Amritsar and Hamilton only. 31 persons travelled to Kyoto and Hamilton only.
(iii) 206 persons travelled to Venice, Kyoto and Hamilton but not to Amritsar. 211 persons travelled to Amritsar, Hamilton and Kyoto but not to Venice. 89 persons travelled to Amritsar, Hamilton and Venice but not to Kyoto.
(iv) A total of 725 persons visited Hamilton and it was 275 less than the total number of persons who visited Amritsar.
(v) 577 persons travelled to exactly three cities.
(vi) The number of persons who travelled to Amritsar only was 10/17th of the number of persons who travelled to exactly two cities.
(vii) 509 persons travelled to only one city.
The following information is known about the customers who travelled to Athens, Salvador and Tel Aviv:
(I) 133 persons travelled to all the three cities.
(II) 133 persons travelled to Tel Aviv and Salvador only.
(III) 145 persons travelled to Athens only.
(IV) A total of 380 persons travelled to Salvador.
(V) The number of persons who travelled to only one city is 263.
(VI) The number of persons who travelled to exactly two cities among Athens, Salvador and Tel Aviv is 496 less than the total number of persons who travelled to Kyoto.