Quiz — 1613454905_89990_Exercice9 _ PPCM(algo)_ok.pdf

Question 1 sur 10 20:00

[{"id":65296,"question":"Quel est le PPCM de 12 et 18 ?","option_a":"24","option_b":"36","option_c":"48","option_d":"60","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PPCM de 12 et 18 est 36, car 36 est le plus petit nombre divisible à la fois par 12 et 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"24\", \"b\": \"36\", \"c\": \"48\", \"d\": \"60\"}}","_debug_options_count":4},{"id":65297,"question":"Le PPCM de deux nombres premiers est toujours égal à leur produit.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai, car deux nombres premiers n'ont aucun diviseur commun autre que 1, donc leur PPCM est leur produit.","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":65298,"question":"Quel est le PPCM de 15 et 20 ?","option_a":"30","option_b":"40","option_c":"60","option_d":"80","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le PPCM de 15 et 20 est 60, car 60 est le plus petit nombre divisible à la fois par 15 et 20.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"30\", \"b\": \"40\", \"c\": \"60\", \"d\": \"80\"}}","_debug_options_count":4},{"id":65299,"question":"Si deux nombres sont égaux, leur PPCM est égal à ce nombre.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai, car le PPCM d'un nombre avec lui-même est ce nombre.","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":65300,"question":"Quel est le PPCM de 8 et 12 en utilisant la décomposition en facteurs premiers ?","option_a":"16","option_b":"24","option_c":"36","option_d":"48","option_e":"","option_f":"","bonne_reponse":"b","explication":"8 = 2³ et 12 = 2² × 3. Le PPCM est 2³ × 3 = 24.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"16\", \"b\": \"24\", \"c\": \"36\", \"d\": \"48\"}}","_debug_options_count":4},{"id":65301,"question":"Le PPCM de 0 et un nombre entier est toujours 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai, car 0 est un multiple de tout nombre entier, donc le PPCM de 0 et n est 0.","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":65302,"question":"Quel est le PPCM 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":65303,"question":"Peut-on calculer le PPCM de trois nombres en utilisant uniquement le PPCM de deux nombres ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai, car PPCM(a, b, c) = PPCM(PPCM(a, b), c).","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":65304,"question":"Quel est le PPCM de 9 et 12 ?","option_a":"18","option_b":"24","option_c":"36","option_d":"48","option_e":"","option_f":"","bonne_reponse":"c","explication":"9 = 3² et 12 = 2² × 3. Le PPCM est 2² × 3² = 36.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"18\", \"b\": \"24\", \"c\": \"36\", \"d\": \"48\"}}","_debug_options_count":4},{"id":65305,"question":"Le PPCM de deux nombres impairs est toujours impair.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai, car le produit de deux nombres impairs est impair, et leur PPCM est un diviseur de ce produit.","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}]