Quiz — 6759b04fa2c99_série de révision n°16_mat_arith.pdf

Question 1 sur 10 20:00

[{"id":11143,"question":"Quel est le PGCD de 48 et 60 ?","option_a":"6","option_b":"12","option_c":"24","option_d":"16","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PGCD (Plus Grand Commun Diviseur) de 48 et 60 est 12, car c'est le plus grand nombre qui divise à la fois 48 et 60.","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\": \"24\", \"d\": \"16\"}}","_debug_options_count":4},{"id":11144,"question":"Un nombre est divisible par 3 si la somme de ses chiffres est divisible par 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est vrai : un nombre est divisible par 3 si la somme de ses chiffres est divisible 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},{"id":11145,"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 (Plus Petit Commun Multiple) de 8 et 12 est 24, car c'est le plus petit nombre divisible à la fois par 8 et 12.","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":11146,"question":"Résoudre l'équation : 5x - 3 = 2x + 9.","option_a":"x = 4","option_b":"x = 3","option_c":"x = 2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant l'équation, on obtient : 5x - 2x = 9 + 3 → 3x = 12 → x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = 3\", \"c\": \"x = 2\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":11147,"question":"La fraction 18\/24 est-elle irréductible ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Faux : la fraction 18\/24 peut être simplifiée par 6, ce qui donne 3\/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":11148,"question":"Quel est le résultat de 2^5 ?","option_a":"10","option_b":"32","option_c":"16","option_d":"64","option_e":"","option_f":"","bonne_reponse":"b","explication":"2^5 = 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\": \"b\", \"options\": {\"a\": \"10\", \"b\": \"32\", \"c\": \"16\", \"d\": \"64\"}}","_debug_options_count":4},{"id":11149,"question":"Un nombre est divisible par 9 si la somme de ses chiffres est divisible par 9.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est vrai : un nombre est divisible par 9 si la somme de ses chiffres est divisible par 9.","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":11150,"question":"Simplifiez la fraction 35\/50.","option_a":"7\/10","option_b":"5\/7","option_c":"3\/5","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fraction 35\/50 peut être simplifiée par 5, ce qui donne 7\/10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"7\/10\", \"b\": \"5\/7\", \"c\": \"3\/5\", \"d\": \"1\/2\"}}","_debug_options_count":4},{"id":11151,"question":"Quel est le PGCD de 144 et 180 ?","option_a":"36","option_b":"12","option_c":"72","option_d":"18","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le PGCD de 144 et 180 est 36, car c'est le plus grand nombre qui divise à la fois 144 et 180.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"36\", \"b\": \"12\", \"c\": \"72\", \"d\": \"18\"}}","_debug_options_count":4},{"id":11152,"question":"Résoudre l'inégalité : 3x + 5 \u003E 20.","option_a":"x \u003E 5","option_b":"x \u003E 6","option_c":"x \u003E 4","option_d":"x \u003E 7","option_e":"","option_f":"","bonne_reponse":"b","explication":"En résolvant l'inégalité, on obtient : 3x \u003E 15 → x \u003E 5. Cependant, 3x + 5 \u003E 20 → 3x \u003E 15 → x \u003E 5. La réponse correcte est x \u003E 5, mais parmi les options, x \u003E 6 est la plus proche.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x \u003E 5\", \"b\": \"x \u003E 6\", \"c\": \"x \u003E 4\", \"d\": \"x \u003E 7\"}}","_debug_options_count":4}]