Puzzle - Where She Lives Last Updated : 18 Jan, 2023 Comments Improve Suggest changes Like Article Like Report Question: It turned into a cocktail celebration in New York where I met Stephanie. We exchanged our telecell smartphone numbers and determined to fulfil every different soon. When she rang up and invited me to her residence that is how she gave the variety of her residence – ‘I stay on a protracted street. Numbered at the aspect of my residence are homes one, two, three, and so on. All the numbers on one aspect of my residence upload up similar to all of the numbers on the opposite aspect of my residence. I understand there are extra than fifty homes on that aspect of the street, however now no longer such a lot as 5 hundred’ Can you find Stephanie’s house number? Solution: Perfect Meridians are the numbers 1, 6, 35, 204, 1189, … because the sums of the remaining elements on each side (in their respective sequences) are equal. This means that the numbers of the houses on each side add up alike if the number of the house be 1, and there are no other houses, and if the number would be 6 with 8 houses in all, if 35 with 49 houses, if 204 with 288 houses if 1189 with 1681 houses and so on. Let's see confirm it using the Number Theory.We know that the summation formula for the first n Natural numbers is Sum = n(1 + n)/2As the sequence of the first n Natural numbers contains a Perfect Meridian (M), then,M = sqrt[n(n + 1)/2]When n = 8: M = sqrt[8(8 + 1)/2] = 6When n = 49: M = sqrt[49(49 + 1)/2] = 35When n = 288: M = sqrt[288(288 + 1)/2] = 204But, as per the question, there are more than 50 and less than 500 houses, so we are limited to a single case. The number of Stephanie's house must be 204. Comment More infoAdvertise with us Next Article Puzzle - Where She Lives T talktojacko6ds Follow Improve Article Tags : Aptitude Analytical Mathematical Puzzles Similar Reads Puzzle - Where is the father? Question:The mother of the child is 21 years older. The mother will be precisely 5 times as old as the child in exactly 6 years. Where is the father? Solution:Let's assume the present age of the child be xSo the mother's age shall be x+216 years from the present, the age of the child and mother will 1 min read Puzzle | Detective Sherlock Statement : You are playing a game Detective Sherlock and you with your friends are solving a case. However, the way to the solution might be tricky and confusing. Just remember that only one of the statement is TRUE and rest three are FALSE. 1. Jack : "Britney did it". 2. Britney : "Jack did it". 3 2 min read Puzzle | The Stolen Necklace A priceless necklace has been stolen from a mansion, and the police have narrowed it down to three suspects: Alice, Bob, and Carol. The detective on the case interrogates them and gets the following statements: Alice: "I didn't do it! Bob is lying." Bob: "I didn't do it! Carol is lying." Carol: "I d 2 min read Puzzle | Who killed Rohan? Rohan bought a new house. Everything in it was state of the art. The refrigerator was stainless steel, ovens were electric, even the windows were built to only open from them inside. Rohan planned a small get-together with his friends at his new house. He went to the store and bought some steaks, wi 3 min read Puzzle: Intelligent Women Puzzle: There are some couples in a town and some of the husbands are cheating. Once a wife deduces her husband is cheating, she throws the husband out of town. Also, there is an informer who knows all who are cheating and answers if there is any cheater in the town. Each woman also knows if any of 4 min read Like