// Numbas version: finer_feedback_settings
{"name": "set1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"r": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(8..15)", "description": "", "name": "r"}, "answer_set4": {"templateType": "anything", "group": "Ungrouped variables", "definition": "answer_set1 and answer_set3", "description": "", "name": "answer_set4"}, "a": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(8..20)", "description": "", "name": "a"}, "c": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(3..7)", "description": "", "name": "c"}, "f": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(10..25)", "description": "", "name": "f"}, "d": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(-25..-5)", "description": "", "name": "d"}, "g": {"templateType": "anything", "group": "Ungrouped variables", "definition": "r^2", "description": "", "name": "g"}, "b": {"templateType": "anything", "group": "Ungrouped variables", "definition": "a+random(12..30)", "description": "", "name": "b"}, "answer_set1": {"templateType": "anything", "group": "Ungrouped variables", "definition": "set(mod_set(a,b,c))", "description": "", "name": "answer_set1"}, "answer_set2": {"templateType": "anything", "group": "Ungrouped variables", "definition": "set(-r+1..r-1)and set(d..f)", "description": "", "name": "answer_set2"}, "answer_set3": {"templateType": "anything", "group": "Ungrouped variables", "definition": "set(d..f) and(set(d-1..-r-1) or set(r+1..f+1))", "description": "", "name": "answer_set3"}}, "ungrouped_variables": ["a", "b", "c", "answer_set1", "d", "f", "g", "answer_set2", "r", "answer_set3", "answer_set4"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "name": "set1", "functions": {"mod_set": {"type": "list", "language": "javascript", "definition": "//returns all integers which are divisible by c betweeen a and b\nvar l=[];\nfor(var i=a;i<b+1;i++) \n{ if (i%c==0){l.push(i);}\n}\nreturn l;\n", "parameters": [["a", "number"], ["b", "number"], ["c", "number"]]}}, "showQuestionGroupNames": false, "parts": [{"prompt": "<p>a) $A=\\{x \\in \\mathbb{N}\\;|\\;\\var{a} \\leq x \\leq \\var{b}\\text{ and } x \\text{ is divisible by }\\var{c}\\}$.</p>\n<p>$A=\\;$[[0]]</p>\n<p>b) $B=\\{x \\in \\mathbb{Z}\\;|\\;\\var{d} \\leq x \\leq \\var{f}\\text{ and } x^2 \\lt \\var{g}\\}$.</p>\n<p>$B=\\;$[[1]]</p>\n<p>c) $C=\\{x \\in \\mathbb{Z}\\;|\\;\\var{d} \\leq x \\leq \\var{f}\\text{ and } x^2 \\gt \\var{g}\\}$.</p>\n<p>$C=\\;$[[2]]</p>\n<p>d) $A \\cap C=\\;$[[3]]</p>\n<p></p>\n<p>Note that you input sets in the form <code>set(a,b,c,..,z)</code> .</p>\n<p>For example <code> set(1,2,3)</code>gives the set $\\{1,2,3\\}$.</p>\n<p>The empty set is input as&nbsp;<code>set()</code>.</p>\n<p>Also some labour saving tips:</p>\n<p>If you want to input all integers between $a$ and $b$ inclusive then instead of writing all the elements you can input this as <code>set(a..b)</code>.</p>\n<p>If you want to input all integers between $a$ and $b$ inclusive in steps of $c$ then this is input as <code>set(a..b#c)</code>. So all odd integers from $-3$ to $28$ are input as&nbsp;<code>set(-3..28#2).</code></p>", "scripts": {}, "gaps": [{"answer": "{answer_set1}", "vsetrange": [0, 1], "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "expectedvariablenames": [], "showpreview": true, "checkingtype": "absdiff", "scripts": {}, "checkvariablenames": false, "type": "jme", "showCorrectAnswer": true, "variableReplacements": [], "marks": 1, "vsetrangepoints": 5}, {"answer": "{answer_set2}", "vsetrange": [0, 1], "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "expectedvariablenames": [], "showpreview": true, "checkingtype": "absdiff", "scripts": {}, "checkvariablenames": false, "type": "jme", "showCorrectAnswer": true, "variableReplacements": [], "marks": 1, "vsetrangepoints": 5}, {"answer": "{answer_set3}", "vsetrange": [0, 1], "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "expectedvariablenames": [], "showpreview": true, "checkingtype": "absdiff", "scripts": {}, "checkvariablenames": false, "type": "jme", "showCorrectAnswer": true, "variableReplacements": [], "marks": 1, "vsetrangepoints": 5}, {"answer": "{answer_set4}", "vsetrange": [0, 1], "checkingaccuracy": 0.001, "variableReplacementStrategy": "originalfirst", "expectedvariablenames": [], "showpreview": true, "checkingtype": "absdiff", "scripts": {}, "checkvariablenames": false, "type": "jme", "showCorrectAnswer": true, "variableReplacements": [], "marks": 1, "vsetrangepoints": 5}], "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "marks": 0}], "variablesTest": {"condition": "", "maxRuns": 100}, "statement": "<p>Write the following sets in enumerated form.</p>\n<p>Note that you enter an enumerated set such as $\\{35,67,99\\}$ as <code>set(35,67,99)</code>.</p>\n<p></p>", "tags": [], "rulesets": {}, "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "", "licence": "Creative Commons Attribution 4.0 International", "description": ""}, "advice": "", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}]}