$\\large\\simplify{{shuffledchoices[0]}}$
", "$\\large\\simplify{{shuffledchoices[1]}}$
", "$\\large\\simplify{{shuffledchoices[2]}}$
", "$\\large\\simplify{{shuffledchoices[3]}}$
", "None of these
"], "displayColumns": 0, "minMarks": 0, "marks": 0, "maxMarks": 0, "showCorrectAnswer": true, "type": "1_n_2", "scripts": {}, "variableReplacements": [], "displayType": "radiogroup", "matrix": "marks", "showFeedbackIcon": true, "shuffleChoices": false}], "variables": {"choices": {"definition": "//choices, apart from \"none of the above\"\n [correctAnswer,Choice1,Choice2,Choice3]", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "choices"}, "noneofthesemarks": {"definition": "//marks to award for selecting \"none of these\"\n 0", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "noneofthesemarks"}, "marks": {"definition": "//marks to award for each choice, then append the marks for \"none of the above\"\n map(choicemarks[j],j,order)+noneofthesemarks", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "marks"}, "a": {"definition": "c*random(2..7)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "a"}, "shuffledchoices": {"definition": "//the choice texts, in the shuffled order\n map(choices[j],j,order)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "shuffledchoices"}, "correctAnswer": {"definition": "expression('(' + a*d + 'b*y^' + (b-1) + ')/(' + c + 'a)' )", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "correctAnswer"}, "b": {"definition": "random(2..4)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "b"}, "d": {"definition": "random(2..7 except c)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "d"}, "order": {"definition": "//the order in which to display the choices - pick a random permutation of [0,1,2,3,4]\n deal(4)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "order"}, "choicemarks": {"definition": "//marks to award for each of the above choices\n [1,0,0,0]", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "choicemarks"}, "Choice1": {"definition": "expression('(' + a*c + 'x^2y^' + (b+1) + ')/(' + d + 'a*b)' )", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "Choice1"}, "Choice2": {"definition": "expression('(' + a*d + 'y^' + (b-1) + ')/(' + c + 'a*b)' )", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "Choice2"}, "Choice3": {"definition": "expression('(' + a/c + 'y^' + (b-1) + ')/(' + d + 'a*b)' )", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "Choice3"}, "c": {"definition": "random(2..4)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "c"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["c", "a", "b", "d", "correctAnswer", "Choice1", "Choice2", "Choice3", "choices", "noneofthesemarks", "choicemarks", "marks", "shuffledchoices", "order"], "advice": "", "name": "Q10", "statement": "Simplify $\\simplify{({a}*x*y^{b})/(a)}$ $\\div$ $\\simplify{({c}x*y)/({d}*b)}$
", "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "tags": [], "extensions": [], "type": "question", "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}]}], "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}