Quiz — 65de117f40a63_Corrigé - série N°32 divisibilité dans IN.pdf

Question 1 sur 10 20:00

[{"id":138856,"question":"Quel est le plus petit diviseur non nul de 18 ?","option_a":"1","option_b":"2","option_c":"3","option_d":"6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le plus petit diviseur non nul de tout nombre entier est toujours 1, car 1 divise tous les 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\": \"1\", \"b\": \"2\", \"c\": \"3\", \"d\": \"6\"}}","_debug_options_count":4},{"id":138857,"question":"Un nombre est divisible par 5 si son dernier chiffre est 0 ou 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale de la divisibilité par 5 : un nombre est divisible par 5 si et seulement si son dernier chiffre est 0 ou 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":138858,"question":"Quel est le reste de la division de 1234 par 9 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"3","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme des chiffres de 1234 est 1+2+3+4=10. 10 n'est pas divisible par 9, donc le reste est 10 - 9 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"2\", \"d\": \"3\"}}","_debug_options_count":4},{"id":138859,"question":"Un nombre divisible par 2 est toujours divisible par 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Contre-exemple : 6 est divisible par 2 mais pas par 4. Un nombre divisible par 4 doit être divisible par 2 deux fois.","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":138860,"question":"Quelle est la somme des diviseurs de 12 (1 inclus) ?","option_a":"16","option_b":"28","option_c":"30","option_d":"31","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les diviseurs de 12 sont 1, 2, 3, 4, 6 et 12. Leur somme est 1+2+3+4+6+12=28.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"16\", \"b\": \"28\", \"c\": \"30\", \"d\": \"31\"}}","_debug_options_count":4},{"id":138861,"question":"Un nombre divisible par 9 est toujours divisible par 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Si un nombre est divisible par 9, alors il est divisible par 3, car 9 est un multiple de 3.","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":138862,"question":"Quel est le plus grand diviseur de 36 qui est inférieur à 36 ?","option_a":"12","option_b":"18","option_c":"24","option_d":"30","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les diviseurs de 36 sont 1, 2, 3, 4, 6, 9, 12, 18 et 36. Le plus grand diviseur inférieur à 36 est 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\": \"12\", \"b\": \"18\", \"c\": \"24\", \"d\": \"30\"}}","_debug_options_count":4},{"id":138863,"question":"Un nombre divisible par 10 est toujours divisible par 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Si un nombre est divisible par 10, il se termine par un 0, donc il est divisible par 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":138864,"question":"Quel est le reste de la division de 987 par 4 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"3","option_e":"","option_f":"","bonne_reponse":"d","explication":"987 divisé par 4 donne 246 avec un reste de 3, car 4 × 246 = 984 et 987 - 984 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"0\", \"b\": \"1\", \"c\": \"2\", \"d\": \"3\"}}","_debug_options_count":4},{"id":138865,"question":"Un nombre divisible par 6 est toujours divisible par 2 et par 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"6 est le produit de 2 et 3, donc tout nombre divisible par 6 est divisible par 2 et par 3.","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}]