// Numbas version: finer_feedback_settings
{"name": "Ein \"Lilavati\"-Problem", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Ein \"Lilavati\"-Problem", "tags": [], "metadata": {"description": "<p>Aus der indischen Mathematik</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Die folgende Aufgabe ist einem Problem aus dem \"Lilavati\" von&nbsp;Bhaskara nachempfunden:</p>\n<p style=\"padding-left: 30px;\">Von einem Strau&szlig; reinster Lostosbl&uuml;ten<br/>ein {brueche[a]} wird Shiva als Gabe gebracht,<br/>ein&nbsp;{brueche[b]} an Vishnu, ein {brueche[c]} der Sonne,<br/>ein {brueche[d]} erh&auml;lt Bhvani.<br/>die &uuml;brigen {f} Bl&uuml;ten erh&auml;lt der ehrenwerte Lehrer.</p>", "advice": "<p>Man addiert zun&auml;chst die als Gabe dargebrachten Anteile:</p>\n<p>$\\frac{1}{\\var{a}}+\\frac{1}{\\var{b}}+\\frac{1}{\\var{c}}+\\frac{1}{\\var{d}}=\\frac{\\var{lcm(a,b,c,d)/a}+\\var{lcm(a,b,c,d)/b}+\\var{lcm(a,b,c,d)/c}+\\var{lcm(a,b,c,d)/d}}{\\var{lcm(a,b,c,d)}}=\\frac{57}{60}=\\frac{19}{20}$</p>\n<p>Somit entsprechen $\\frac{1}{20}$ der Bl&uuml;ten {f}, womit es anfangs $20\\cdot \\var{f}=\\var{solution}$ Lotusbl&uuml;ten gewesen sind.</p>", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "parts[0]", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "parts[1]", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "parts[2]", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "parts[3]", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(4,6,8,10,12,14,16)", "description": "", "templateType": "anything"}, "brueche": {"name": "brueche", "group": "Ungrouped variables", "definition": "[\"0\",\"1\",\"2\",\"Drittel\",\"Viertel\",\"F\u00fcnftel\",\"Sechstel\",\"Siebtel\",\"Achtel\"]", "description": "", "templateType": "anything"}, "remains": {"name": "remains", "group": "Ungrouped variables", "definition": "1-1/a-1/b-1/c-1/d", "description": "", "templateType": "anything"}, "solution": {"name": "solution", "group": "Ungrouped variables", "definition": "1/remains*f", "description": "", "templateType": "anything"}, "parts": {"name": "parts", "group": "Ungrouped variables", "definition": "shuffle([3,4,5,6])[0..4]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "d", "f", "brueche", "remains", "solution", "parts"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Wie viele Lotusbl&uuml;ten hatte der Strau&szlig; anfangs?</p>\n<p>Antwort: [[0]] Lotusbl&uuml;ten.</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "solution", "maxValue": "solution", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}]}], "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}