There are 7 competitions which are to be held from Monday to Sunday such that on any day one only competition is to be held. The events of competitions are – Olympiad, Painting, Debate, Dancing, Singing, Short Story and Skating, but not necessarily in the same order.. In each of these competitions different number of students took part as – 100, 130, 145, 175, 215, 250 and 280, but not necessarily in the same order.
Olympiad took place on Thursday. Lowest number of students took part in Dancing. Debate competition is to be held after Singing. There is one competition which is to be held between Olympiad and Debate. The competition in which 215 students took part held immediately before the one in which 145 students took part. 130 students took part in Singing. There are three competitions which are to be held between Dancing and Debate. The competition in which 175 students took part held on Friday. There are as many competitions between Singing and Skating as between Short Story and Skating. Painting competition did not take place on Sunday. Also the largest number of students did not take part in Painting competition.
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