Quiz — Série d'exercices - Math Arithmétique - 2ème Sciences (2011-2012) Mr Abderrazek BERREZIG.pdf

Question 1 sur 10 20:00

[{"id":48762,"question":"Quel est le PGCD de 36 et 48 ?","option_a":"6","option_b":"12","option_c":"18","option_d":"24","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PGCD de 36 et 48 est 12, car c'est le plus grand diviseur commun à ces deux nombres.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"6\", \"b\": \"12\", \"c\": \"18\", \"d\": \"24\"}}","_debug_options_count":4},{"id":48763,"question":"Un nombre premier est toujours impair.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Faux : le nombre 2 est un nombre premier et il est pair.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":48764,"question":"Quelle est la décomposition en facteurs premiers de 60 ?","option_a":"2 × 3 × 5","option_b":"2² × 3 × 5","option_c":"2 × 3² × 5","option_d":"2³ × 3 × 5","option_e":"","option_f":"","bonne_reponse":"b","explication":"60 = 2² × 3 × 5 est la décomposition correcte en facteurs premiers.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"2 × 3 × 5\", \"b\": \"2² × 3 × 5\", \"c\": \"2 × 3² × 5\", \"d\": \"2","_debug_options_count":4},{"id":48765,"question":"Si a et b sont deux entiers naturels, alors PGCD(a, b) × PPCM(a, b) = a × b.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai : cette propriété est fondamentale en arithmétique et permet de vérifier les calculs de PGCD et PPCM.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":48766,"question":"Quel est le reste de la division de 1234 par 11 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"3","option_e":"","option_f":"","bonne_reponse":"c","explication":"1234 ÷ 11 = 112 avec un reste de 2, car 11 × 112 = 1232 et 1234 - 1232 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"2\", \"d\": \"3\"}}","_debug_options_count":4},{"id":48767,"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":"Faux : par définition, un nombre premier doit avoir exactement deux diviseurs distincts (1 et lui-même). Le nombre 1 n'en a qu'un seul.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":48768,"question":"Quelle est la valeur de 2⁵ ?","option_a":"10","option_b":"16","option_c":"32","option_d":"64","option_e":"","option_f":"","bonne_reponse":"c","explication":"2⁵ = 2 × 2 × 2 × 2 × 2 = 32.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"10\", \"b\": \"16\", \"c\": \"32\", \"d\": \"64\"}}","_debug_options_count":4},{"id":48769,"question":"Si a est divisible par 3 et par 5, alors a est divisible par 15.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai : si un nombre est divisible par deux nombres premiers entre eux (comme 3 et 5), il est divisible par leur produit, soit 15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":48770,"question":"Quel est le PPCM de 8 et 12 ?","option_a":"24","option_b":"48","option_c":"16","option_d":"36","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le PPCM de 8 et 12 est 24, car c'est le plus petit multiple commun à ces deux nombres.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"24\", \"b\": \"48\", \"c\": \"16\", \"d\": \"36\"}}","_debug_options_count":4},{"id":48771,"question":"La fraction 15\/25 est-elle irréductible ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Faux : la fraction 15\/25 peut être simplifiée par 5, ce qui donne 3\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]