[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-635325-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-635325-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","find-the-4-digits-mathematical-logic-puzzle","Find the 4 Digits - Mathematical Logic Puzzle","","This document presents a challenging mathematical logic puzzle titled 'Find the 4 Digits,' designed to engage students in critical thinking and number theory. The task involves deducing a four-digit number based on three specific constraints: the number must fall between 3500 and 4000, the sum of its four digits must equal 16, and all individual digits must be odd numbers. The resource provides both the problem statement and a comprehensive answer key listing all nine possible valid combinations that satisfy these criteria, making it an excellent practice material for elementary or middle school mathematics reinforcement and logical deduction exercises.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/find-the-4-digits-mathematical-logic-puzzle/635325/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/find-the-4-digits-mathematical-logic-puzzle/635325.png","ImageObject",300,407,{"name":42,"@type":43},"Chumphorn","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the three rules for identifying the hidden number?","Question",{"text":63,"@type":64},"The number must be between 3500 and 4000, the sum of all four digits must be 16, and every individual digit must be an odd number.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many possible numbers satisfy the conditions given by Tyger Salamander?",{"text":68,"@type":64},"There are exactly nine possible numbers that meet all the specified requirements.",{"name":70,"@type":61,"acceptedAnswer":71},"What are the nine possible numbers?",{"text":72,"@type":64},"The possible numbers are 3517, 3535, 3553, 3571, 3715, 3733, 3751, 3913, and 3931.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},635325,1792787382,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":96},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Name Date  \nFIND THE 4 DIGITS!  \nTyger Salamander has stolen 4 digits from the pack of digit cards.  \nHe tells the other salamanders that he will give them back if they can guess what number he has made with them.  \nHe tells them:  \n• My number is more than 3500 but less than 4000 .  \n• The 4 digits add up to 16 .  \n• All my digits are odd.  \nWhat 4 digit number could he have made? Find all possibilities.  \nName Date  \nFIND THE 4 DIGITS! ANSWERS  \nTyger Salamander has stolen 4 digits from the pack of digit cards.  \nHe tells the other salamanders that he will give them back if they can guess what number he has made with them.  \nHe tells them:  \n• My number is more than 3500 but less than 4000.  \n• The 4 digits add up to 16.  \n• All my digits are odd.  \nWhat 4 digit number could he have made?  \nThere are 9 possibilities.  \n\n| 3517 | 3715 | 3913 |\n| --- | --- | --- |\n| 3535 | 3733 | 3931 |\n| 3553 | 3751 |  |\n| 3571 |  |  |","cbCaihAbXkcC7PRM","https://ap.wps.com/l/cbCaihAbXkcC7PRM","pdf",178380,"English","# Problem Statement\n## Rules and Constraints\n# Solution Guide\n## List of Possibilities","[{\"question\":\"What are the three rules for identifying the hidden number?\",\"answer\":\"The number must be between 3500 and 4000, the sum of all four digits must be 16, and every individual digit must be an odd number.\"},{\"question\":\"How many possible numbers satisfy the conditions given by Tyger Salamander?\",\"answer\":\"There are exactly nine possible numbers that meet all the specified requirements.\"},{\"question\":\"What are the nine possible numbers?\",\"answer\":\"The possible numbers are 3517, 3535, 3553, 3571, 3715, 3733, 3751, 3913, and 3931.\"}]","Find the 4 Digits - Mathematical Logic Puzzle | PDF",1792675743]