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 PUZZLE OF THE WEEK
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Puzzle #45 - And, the winner is ....?
24-Apr-20
 Views : 6914 Rated 4.0 by 13 Users
500 couples belonging to different strata of society were invited to participate in a new reality dance show called 'Dance Baliye', where not only would they stand a chance to win a prize money of Rs. 50 lacs but also they would be entitled to an item number in a big banner movie. Citing various reasons, a number of couples backed out. However, a certain number of participants, which was greater than 50, did turn up for the auditions. Each couple was assigned a different number, a successive integral number, called "Jodi Number", starting from 1. After rigorous dance sessions and extensive training, the judges finally managed to choose the best dancing couple.

When announcing the contestant number of the winning couple, one of the esteemed jury, Miss Priyanka, decided to puzzle the audience. She announced on-stage that the Jodi Number of the winning couple was such that the sum of the Jodi numbers that were less than that of the winning couple was equal to the sum of the Jodi numbers that were greater than their Jodi Number. The audience member to answer this question would get a chance to shake a leg with the winning couple in their item number along with a prize amount of Rs. 50,000. Mrs. Jessika Bedi, an avid follower of the show, wanted to be on TV since childhood. This is her opportunity to fulfil her dream. However, she isn't good at math. Try to help fulfil her dream by providing a solution with a detailed explanation.
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