Quiz — سلسلة تمارين محلولة حول القواسم والمضاعفات والتعداد.pdf

Question 1 sur 10 20:00

[{"id":19749,"question":"Quel est le plus grand diviseur commun de 24 et 36 ?","option_a":"6","option_b":"12","option_c":"18","option_d":"24","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PGCD de 24 et 36 est 12, car 12 est le plus grand nombre qui divise à la fois 24 et 36.","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":19750,"question":"Vrai ou Faux ? Un nombre premier n'a que deux diviseurs : 1 et lui-même.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est la définition même d'un nombre premier : il n'est divisible que par 1 et par lui-même.","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":19751,"question":"Quel est le PPCM de 8 et 12 ?","option_a":"24","option_b":"36","option_c":"48","option_d":"96","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\": \"36\", \"c\": \"48\", \"d\": \"96\"}}","_debug_options_count":4},{"id":19752,"question":"Vrai ou Faux ? 15 est un multiple de 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"15 est divisible par 5 (15 ÷ 5 = 3), donc 15 est bien un multiple de 5.","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":19753,"question":"Quelle est la décomposition en facteurs premiers de 60 ?","option_a":"2 × 3 × 5","option_b":"2² × 3 × 5","option_c":"2 × 3 × 5²","option_d":"2³ × 3 × 5","option_e":"","option_f":"","bonne_reponse":"b","explication":"60 = 2 × 2 × 3 × 5 = 2² × 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\": \"2 × 3 × 5\", \"b\": \"2² × 3 × 5\", \"c\": \"2 × 3 × 5²\", \"d\": \"2","_debug_options_count":4},{"id":19754,"question":"Vrai ou Faux ? Le PGCD de deux nombres premiers est toujours égal à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux nombres premiers distincts n'ont aucun diviseur commun autre que 1, donc leur PGCD est bien 1.","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":19755,"question":"Quel est le plus petit multiple commun de 7 et 14 ?","option_a":"7","option_b":"14","option_c":"21","option_d":"28","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PPCM de 7 et 14 est 14, car 14 est un multiple de 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"7\", \"b\": \"14\", \"c\": \"21\", \"d\": \"28\"}}","_debug_options_count":4},{"id":19756,"question":"Vrai ou Faux ? Un nombre pair est toujours divisible par 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un nombre pair est divisible par 2, mais pas nécessairement par 4 (exemple : 6 est pair mais non divisible par 4).","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":19757,"question":"Quel est le PGCD de 45 et 60 ?","option_a":"5","option_b":"10","option_c":"15","option_d":"20","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le PGCD de 45 et 60 est 15, car 15 est le plus grand nombre qui divise à la fois 45 et 60.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"5\", \"b\": \"10\", \"c\": \"15\", \"d\": \"20\"}}","_debug_options_count":4},{"id":19758,"question":"Vrai ou Faux ? Le PPCM de deux nombres est toujours supérieur ou égal au plus grand des deux nombres.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le PPCM de deux nombres est toujours supérieur ou égal au plus grand des deux nombres (exemple : PPCM(5,5) = 5).","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}]