// Numbas version: finer_feedback_settings
{"name": "PSU 2020 - N\u00fameros 01 - Pr\u00e1ctica", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "PSU 2020 - N\u00fameros 01 - Pr\u00e1ctica", "tags": [], "metadata": {"description": "<p>Ejercicio de PSU sobre operatoria en Q</p>", "licence": "None specified"}, "statement": "<p>1)&nbsp; Considere las siguientes expresiones:</p>\n<p>&nbsp; &nbsp; &nbsp;$A=$$\\Large \\frac{\\var{a}}{\\var{c}}$$+$$\\Large \\frac{\\var{b}}{\\var{c}}$</p>\n<p>&nbsp; &nbsp; &nbsp;$B=$$\\Large \\frac{\\var{d}}{\\var{f}}$$\\cdot$$\\Large \\frac{\\var{g}}{\\var{h}}$</p>\n<p>&nbsp; &nbsp; &nbsp;$C=$$\\Large \\frac{\\var{m}}{\\var{n}}$$:$$\\Large \\frac{\\var{o}}{\\var{p}}$</p>\n<p>En cual de las siguientes alternativas se encuentra el desarrollo y valor&nbsp;correcto de cada expresi&oacute;n:</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {"a": {"name": "a", "group": "Suma", "definition": "random(1 .. 5#1)", "description": "", "templateType": "randrange"}, "b": {"name": "b", "group": "Suma", "definition": "random(1 .. 7#2)", "description": "", "templateType": "randrange"}, "c": {"name": "c", "group": "Suma", "definition": "random(2 .. 10#2)", "description": "", "templateType": "randrange"}, "Suma_correcta": {"name": "Suma_correcta", "group": "Suma", "definition": "rational((a+b)/c)", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Multiplicaci\u00f3n", "definition": "random(4 .. 10#2)", "description": "", "templateType": "randrange"}, "f": {"name": "f", "group": "Multiplicaci\u00f3n", "definition": "random(2 .. 10#2)", "description": "", "templateType": "randrange"}, "g": {"name": "g", "group": "Multiplicaci\u00f3n", "definition": "random(3 .. 12#3)", "description": "", "templateType": "randrange"}, "h": {"name": "h", "group": "Multiplicaci\u00f3n", "definition": "random(2 .. 6#1)", "description": "", "templateType": "randrange"}, "Multip_correcta": {"name": "Multip_correcta", "group": "Multiplicaci\u00f3n", "definition": "(d/f)*(g/h)", "description": "", "templateType": "anything"}, "m": {"name": "m", "group": "Divisi\u00f3n", "definition": "random(2 .. 5#1)", "description": "", "templateType": "randrange"}, "n": {"name": "n", "group": "Divisi\u00f3n", "definition": "random(3 .. 12#3)", "description": "", "templateType": "randrange"}, "o": {"name": "o", "group": "Divisi\u00f3n", "definition": "random(2 .. 12#2)", "description": "", "templateType": "randrange"}, "p": {"name": "p", "group": "Divisi\u00f3n", "definition": "random(4 .. 20#4)", "description": "", "templateType": "randrange"}, "Div_correcta": {"name": "Div_correcta", "group": "Divisi\u00f3n", "definition": "rational((m/n)/(o/p))", "description": "", "templateType": "anything"}, "Suma_mala_1": {"name": "Suma_mala_1", "group": "Suma", "definition": "(a+b)/(c+c)", "description": "", "templateType": "anything"}, "Suma_mala_2": {"name": "Suma_mala_2", "group": "Suma", "definition": "(a-b)/c", "description": "", "templateType": "anything"}, "Multip_mala_1": {"name": "Multip_mala_1", "group": "Multiplicaci\u00f3n", "definition": "(h/g)/(d/f)", "description": "", "templateType": "anything"}, "Multip_mala_2": {"name": "Multip_mala_2", "group": "Multiplicaci\u00f3n", "definition": "(f/d)+(h/g)", "description": "", "templateType": "anything"}, "Div_mala_1": {"name": "Div_mala_1", "group": "Divisi\u00f3n", "definition": "(m/n)+(o/p)", "description": "", "templateType": "anything"}, "Div_mala_2": {"name": "Div_mala_2", "group": "Divisi\u00f3n", "definition": "(m/n)-(o/p)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "Suma", "variables": ["a", "b", "c", "Suma_correcta", "Suma_mala_1", "Suma_mala_2"]}, {"name": "Multiplicaci\u00f3n", "variables": ["d", "f", "g", "h", "Multip_correcta", "Multip_mala_1", "Multip_mala_2"]}, {"name": "Divisi\u00f3n", "variables": ["m", "n", "o", "p", "Div_correcta", "Div_mala_1", "Div_mala_2"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Alternativas", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>[[0]]</p>\n<hr/>\n<p></p>", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "ABCD", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "2", "showCellAnswerState": true, "choices": ["$A=$ $\\Large \\var[fractionNumbers]{Suma_correcta}$ ,&nbsp;$B=$ $\\Large \\var[fractionNumbers]{Multip_correcta}$ ,&nbsp;$C=$ $\\Large \\var[fractionNumbers]{Div_correcta}$&nbsp;", "$A=$ $\\Large \\var[fractionNumbers]{Suma_mala_1}$ ,&nbsp;$B=$ $\\Large \\var[fractionNumbers]{Multip_mala_1}$ ,&nbsp;$C=$ $\\Large \\var[fractionNumbers]{Div_correcta}$&nbsp;", "$A=$ $\\Large \\var[fractionNumbers]{Suma_mala_2}$ ,&nbsp;$B=$ $\\Large \\var[fractionNumbers]{Multip_mala_2}$ ,&nbsp;$C=$ $\\Large \\var[fractionNumbers]{Div_mala_2}$", "$A=$ $\\Large \\var[fractionNumbers]{Suma_correcta}$ , $B=$ $\\Large \\var[fractionNumbers]{Multip_mala_2}$ ,&nbsp;$C=$ $\\Large \\var[fractionNumbers]{Div_mala_1}$"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Desarrollo de A", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para desarrollar la expresi&oacute;n $A$ observamos que sus <strong>denominadores son iguales</strong>, por tanto, solo debemos <strong>sumar</strong> sus <strong>numeradores</strong>;&nbsp;luego <strong>simplificamos</strong> en caso de ser necesario.</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[0]]</p>\n<p>$A=$&nbsp;$\\Large \\frac{\\var{a}}{\\var{c}}$$+$$\\Large \\frac{\\var{b}}{\\var{c}}$ $=$ ______ $=$&nbsp;[[2]]</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[1]]</p>\n<hr/>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "a+b", "maxValue": "a+b", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "c", "maxValue": "c", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "(a+b)/c", "maxValue": "(a+b)/c", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "0", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Desarrollo de B", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para desarrollar la expresi&oacute;n $B$&nbsp;<strong>multiplicamos</strong> <strong>numerador</strong> con <strong>numerador</strong> y <strong>denominador</strong> con <strong>denominador</strong>; luego <strong>simplificamos</strong> en caso de ser necesario.</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[0]]</p>\n<p>$B=$$\\Large \\frac{\\var{d}}{\\var{f}}$$\\cdot$$\\Large \\frac{\\var{g}}{\\var{h}}$ $=$ _______ $=$&nbsp;[[2]]</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[1]]</p>\n<hr/>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "d*g", "maxValue": "d*g", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "f*h", "maxValue": "f*h", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Multip_correcta", "maxValue": "Multip_correcta", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "0", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Desarrollo de C", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para desarrollar la expresi&oacute;n $C$ debemos determinar la <strong>primera fracci&oacute;n</strong>&nbsp;<strong>multiplicada</strong> por la <strong>segunda fracci&oacute;n invertida</strong>, luego <strong>multiplicamos&nbsp;</strong> <strong>numerador</strong> con <strong>numerador</strong> y <strong>denominador</strong> con <strong>denominador</strong>, finalmente <strong>simplificamos</strong> en caso de ser necesario.</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[0]]&nbsp;[[3]]&nbsp; [[4]]</p>\n<p>$C=$$\\Large \\frac{\\var{m}}{\\var{n}}$$:$$\\Large \\frac{\\var{o}}{\\var{p}}$ $=$ _______ $\\cdot$&nbsp;_______ $=$&nbsp;_______ $=$&nbsp;[[6]]</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[1]]&nbsp;[[2]]&nbsp;&nbsp;[[5]]</p>\n<hr/>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "m", "maxValue": "m", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "n", "maxValue": "n", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "o", "maxValue": "o", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "p", "maxValue": "p", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "m*p", "maxValue": "m*p", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "o*n", "maxValue": "o*n", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "Div_correcta", 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