{"id":4747,"date":"2026-01-31T10:53:58","date_gmt":"2026-01-31T15:53:58","guid":{"rendered":"https:\/\/josmfs.net\/wordpress\/?p=4747"},"modified":"2026-01-31T10:53:58","modified_gmt":"2026-01-31T15:53:58","slug":"three-buckets-question","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2026\/01\/31\/three-buckets-question\/","title":{"rendered":"Three Buckets Question"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4746\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Three-Buckets-Fig2a.jpg\" alt=\"\" width=\"200\" height=\"114\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Three-Buckets-Fig2a.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Three-Buckets-Fig2a-300x171.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>From <a href=\"https:\/\/mindyourdecisions.com\/blog\/2025\/09\/22\/3-bucket-question-90-percent-missed-this\/\">Presh Talwalkar<\/a> here is a variation of the three jugs problem.<\/p>\n<p>\u201cYou have buckets that hold 3 L, 7 L, and 20 L of water. How can you measure the following amounts?<\/p>\n<ol>\n<li>a) 10 L<\/li>\n<li>b) 4 L<\/li>\n<li>c) 5 L<\/li>\n<\/ol>\n<p>For most of mathematical history the above information would be sufficient information to state the problem. But in today\u2019s society, there is a demand to state all assumptions as if that will make the problem better. So the test explained there are certain actions you can take.<\/p>\n<p>You can fill any bucket completely with water. You can pour all the water from a bucket into a larger bucket. You can pour water from a bucket to fill a smaller bucket. You can empty the water completely from any bucket.\u201d<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Three-Bucket-Question-251003.pdf\">Three Buckets Question<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>From Presh Talwalkar here is a variation of the three jugs problem. \u201cYou have buckets that hold 3 L, 7 L, and 20 L of water. How can you measure the following amounts? a) 10 L b) 4 L c) 5 L For most of mathematical history the above information would be sufficient information to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[242,17,75],"class_list":["post-4747","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-mixture-problems","tag-presh-talwalkar","tag-skew-billiard-table"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4747","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4747"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4747\/revisions"}],"predecessor-version":[{"id":4748,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4747\/revisions\/4748"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4747"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4747"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4747"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}