Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options

This research explores the results that an examinee would obtain if taking a multiple-choice questions test in which they have doubts as to what the true answer is among different options. This problem is analyzed by making use of combinatorics and analytical and sampling methodologies. The Spanish...

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Main Authors: Fernando Sánchez Lasheras, José Curbelo, Jaime Baladrón Romero, Alberto García Guerrero, Carmen Peñalver San Cristóbal, Tomás Villacampa, Paula Jiménez Fonseca
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/23/4543
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author Fernando Sánchez Lasheras
José Curbelo
Jaime Baladrón Romero
Alberto García Guerrero
Carmen Peñalver San Cristóbal
Tomás Villacampa
Paula Jiménez Fonseca
author_facet Fernando Sánchez Lasheras
José Curbelo
Jaime Baladrón Romero
Alberto García Guerrero
Carmen Peñalver San Cristóbal
Tomás Villacampa
Paula Jiménez Fonseca
author_sort Fernando Sánchez Lasheras
collection DOAJ
description This research explores the results that an examinee would obtain if taking a multiple-choice questions test in which they have doubts as to what the true answer is among different options. This problem is analyzed by making use of combinatorics and analytical and sampling methodologies. The Spanish exam through which doctors become medical specialists has been employed as an example. Although it is difficult to imagine that there are candidates who respond randomly to all the questions of such an exam, it is common that they may doubt over what the correct answer is in some questions. The exam consists of a total of 210 multiple-choice questions with 4 answer options. The cut-off mark is calculated as one-third of the average of the 10 best marks in the exam. According to the results obtained, it is possible to affirm that in the case of doubting over two or three of the four possible answers in certain group questions, answering all of them will in most cases lead to obtaining a positive result. Moreover, in the case of doubting between two answer options in all the questions of the MIR test, it would be possible to exceed the cut-off mark.
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spelling doaj.art-7d578a91c59e4260a4425df2b74f8c0a2023-11-24T11:35:21ZengMDPI AGMathematics2227-73902022-12-011023454310.3390/math10234543Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different OptionsFernando Sánchez Lasheras0José Curbelo1Jaime Baladrón Romero2Alberto García Guerrero3Carmen Peñalver San Cristóbal4Tomás Villacampa5Paula Jiménez Fonseca6Faculty of Sciences, University of Oviedo, 33007 Oviedo, SpainFaculty of Medicine, University Francisco de Vitoria, 28223 Pozuelo de Alarcón, SpainCursos Intensivos MIR Asturias, c/Quintana, 11A, 1, 33009 Oviedo, SpainCursos Intensivos MIR Asturias, c/Quintana, 11A, 1, 33009 Oviedo, SpainCursos Intensivos MIR Asturias, c/Quintana, 11A, 1, 33009 Oviedo, SpainClínica Oftalmológica Villacampa, c/La Cámara, 15, 33401 Avilés, SpainMedical Oncology Service, Hospital Universitario Central de Asturias, Avenida Roma, 33011 Oviedo, SpainThis research explores the results that an examinee would obtain if taking a multiple-choice questions test in which they have doubts as to what the true answer is among different options. This problem is analyzed by making use of combinatorics and analytical and sampling methodologies. The Spanish exam through which doctors become medical specialists has been employed as an example. Although it is difficult to imagine that there are candidates who respond randomly to all the questions of such an exam, it is common that they may doubt over what the correct answer is in some questions. The exam consists of a total of 210 multiple-choice questions with 4 answer options. The cut-off mark is calculated as one-third of the average of the 10 best marks in the exam. According to the results obtained, it is possible to affirm that in the case of doubting over two or three of the four possible answers in certain group questions, answering all of them will in most cases lead to obtaining a positive result. Moreover, in the case of doubting between two answer options in all the questions of the MIR test, it would be possible to exceed the cut-off mark.https://www.mdpi.com/2227-7390/10/23/4543decision makingmultiple-choice testcombinatoricssimulationeducationtest performance
spellingShingle Fernando Sánchez Lasheras
José Curbelo
Jaime Baladrón Romero
Alberto García Guerrero
Carmen Peñalver San Cristóbal
Tomás Villacampa
Paula Jiménez Fonseca
Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
Mathematics
decision making
multiple-choice test
combinatorics
simulation
education
test performance
title Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
title_full Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
title_fullStr Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
title_full_unstemmed Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
title_short Answering Multiple-Choice Questions in Which Examinees Doubt What the True Answer Is among Different Options
title_sort answering multiple choice questions in which examinees doubt what the true answer is among different options
topic decision making
multiple-choice test
combinatorics
simulation
education
test performance
url https://www.mdpi.com/2227-7390/10/23/4543
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