Quiz : Maîtrisez les bases de l'arithmétique en Seconde

Question 1 sur 10 10:00

[{"id":25808,"question":"Quel est le PGCD de 48 et 18 ?","option_a":"6","option_b":"8","option_c":"12","option_d":"24","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le PGCD de 48 et 18 est 6, car 6 est le plus grand nombre qui divise à la fois 48 et 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25809,"question":"Un nombre premier est un nombre divisible uniquement par 1 et par lui-même.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition d'un nombre premier. Par exemple, 7 est un nombre premier.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25810,"question":"Quel est le PPCM de 12 et 15 ?","option_a":"30","option_b":"60","option_c":"90","option_d":"120","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le PPCM de 12 et 15 est 60, car c'est le plus petit multiple commun à ces deux nombres.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25811,"question":"La décomposition de 60 en facteurs premiers est :","option_a":"2² × 3 × 5","option_b":"2 × 3² × 5","option_c":"2³ × 3 × 5","option_d":"2 × 3 × 5²","option_e":"","option_f":"","bonne_reponse":"A","explication":"60 = 2 × 2 × 3 × 5 = 2² × 3 × 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25812,"question":"Si a divise b et b divise c, alors a divise c.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété transitive de la divisibilité : si a | b et b | c, alors a | c.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25813,"question":"Quel est le reste de la division euclidienne de 123 par 7 ?","option_a":"2","option_b":"3","option_c":"4","option_d":"5","option_e":"","option_f":"","bonne_reponse":"D","explication":"123 ÷ 7 = 17 avec un reste de 4, car 7 × 17 = 119 et 123 - 119 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25814,"question":"Le nombre 1 est-il un nombre premier ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Non, 1 n'est pas considéré comme un nombre premier car il n'a qu'un seul diviseur.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25815,"question":"Si PGCD(a, b) = 1, alors a et b sont dits :","option_a":"Premiers entre eux","option_b":"Nombres jumeaux","option_c":"Nombres pairs","option_d":"Nombres impairs","option_e":"","option_f":"","bonne_reponse":"A","explication":"Deux nombres sont premiers entre eux si leur PGCD est égal à 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25816,"question":"Quel est le plus petit nombre premier supérieur à 20 ?","option_a":"21","option_b":"23","option_c":"25","option_d":"27","option_e":"","option_f":"","bonne_reponse":"B","explication":"23 est le plus petit nombre premier supérieur à 20.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25817,"question":"L'équation 6x + 9y = 3 a-t-elle des solutions entières ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, car PGCD(6, 9) = 3 et 3 divise 3. Une solution est x = 2 et y = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]