// Numbas version: exam_results_page_options
{"name": "Alexander's copy of Truth tables 0 (v2)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Alexander's copy of Truth tables 0 (v2)", "tags": [], "metadata": {"description": "<p>Create a truth table for a logical expression of the form $a \\operatorname{op} b$ where $a, \\;b$ can be the Boolean variables $p,\\;q,\\;\\neg p,\\;\\neg q$ and $\\operatorname{op}$ one of $\\lor,\\;\\land$.</p>\n<p>For example $\\neg q \\to \\neg p$.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>In the following question you are asked to construct a truth table for:</p>\n<p>\\[\\var{a} \\var{op} \\var{b}.\\]</p>\n<p></p>\n<p>Enter T&nbsp;if true, else enter F.</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "advice": "<p>Here is the truth table.</p>\n<table border=\"1\">\n<tbody>\n<tr><th>$p$</th><th>$q$</th><th>$\\var{a} \\var{op} \\var{b}$</th></tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev1[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev1[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev1[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev1[3]}$</td>\n</tr>\n</tbody>\n</table>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"disp": {"name": "disp", "group": "Truth values", "definition": "bool_to_label(p)", "description": "", "templateType": "anything", "can_override": false}, "q": {"name": "q", "group": "Truth values", "definition": "[true,false,true,false]", "description": "", "templateType": "anything", "can_override": false}, "disq": {"name": "disq", "group": "Truth values", "definition": "bool_to_label(q)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "First Bracket", "definition": "latex(switch(a=\"p\",\"\\\\neg q\",a=\"q\",\"\\\\neg p\",a=\"\\\\neg p\",random(\"q\",\"\\\\neg q\"),random(\"p\",\"\\\\neg p\")))", "description": "", "templateType": "anything", "can_override": false}, "op": {"name": "op", "group": "First Bracket", "definition": "latex(random(\"\\\\lor\",\"\\\\land\"))", "description": "", "templateType": "anything", "can_override": false}, "latex_symbol_list": {"name": "latex_symbol_list", "group": "Lists of symbols", "definition": "[\"p\",\"q\",\"\\\\neg p\",\"\\\\neg q\"]", "description": "", "templateType": "anything", "can_override": false}, "s": {"name": "s", "group": "Lists of symbols", "definition": "repeat(random(0..3),4)", "description": "", "templateType": "anything", "can_override": false}, "ev1": {"name": "ev1", "group": "First Bracket", "definition": "bool_to_label(pre_ev1)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "First Bracket", "definition": "latex(latex_symbol_list[s[0]])", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Truth values", "definition": "[true,true,false,false]", "description": "", "templateType": "anything", "can_override": false}, "logic_symbol_list": {"name": "logic_symbol_list", "group": "Lists of symbols", "definition": "[\"p\",\"q\",\"not p\",\"not q\"]", "description": "", "templateType": "anything", "can_override": false}, "pre_ev1": {"name": "pre_ev1", "group": "First Bracket", "definition": "map(evaluate(convch(a)+\" \"+conv(op)+\" \"+convch(b),[p[t],q[t]]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "150"}, "ungrouped_variables": [], "variable_groups": [{"name": "Lists of symbols", "variables": ["logic_symbol_list", "latex_symbol_list", "s"]}, {"name": "First Bracket", "variables": ["a", "b", "op", "pre_ev1", "ev1"]}, {"name": "Second Bracket", "variables": []}, {"name": "Truth values", "variables": ["q", "p", "disp", "disq"]}], "functions": {"convch": {"parameters": [["ch", "string"]], "type": "string", "language": "jme", "definition": "switch(ch=\"\\\\neg p\",\"not p[t]\",ch=\"\\\\neg q\",\"not q[t]\",ch=\"p\",\"p[t]\",\"q[t]\")"}, "evaluate": {"parameters": [["expr", "string"], ["dependencies", "list"]], "type": "number", "language": "javascript", "definition": "return scope.evaluate(expr);"}, "conv": {"parameters": [["op", "string"]], "type": "string", "language": "jme", "definition": "switch(op=\"\\\\land\",\"and\",op=\"\\\\lor\",\"or\",\"implies\")"}, "bool_to_label": {"parameters": [["l", "list"]], "type": "number", "language": "jme", "definition": "map(if(l[x],'T','F'),x,0..length(l)-1)"}}, "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>Complete the following truth table:</p>\n<table border=\"1\">\n<tbody>\n<tr><th>$p$</th><th>$q$</th><th>$\\var{a} \\var{op} \\var{b}$</th></tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>[[0]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>[[1]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>[[2]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>[[3]]</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[0]}", "displayAnswer": "{ev1[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[1]}", "displayAnswer": "{ev1[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[2]}", "displayAnswer": "{ev1[2]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[3]}", "displayAnswer": "{ev1[3]}", "matchMode": "regex"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Alexander Corner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5328/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Alexander Corner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5328/"}]}