Quiz — 65c213f823346__Corrigé-Série N°1-Arithmétique.pdf

Question 1 sur 10 20:00

[{"id":30640,"question":"Quel est le PGCD de 48 et 60 ?","option_a":"6","option_b":"12","option_c":"24","option_d":"18","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\": \"18\"}}","_debug_options_count":4},{"id":30641,"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":"La fraction 15\/25 n'est pas irréductible car on peut la simplifier par 5 pour obtenir 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},{"id":30642,"question":"Quel est le résultat de (-3)^4 ?","option_a":"-81","option_b":"81","option_c":"12","option_d":"-12","option_e":"","option_f":"","bonne_reponse":"b","explication":"(-3)^4 = (-3) × (-3) × (-3) × (-3) = 81, car un nombre négatif élevé à une puissance paire donne un résultat positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"-81\", \"b\": \"81\", \"c\": \"12\", \"d\": \"-12\"}}","_debug_options_count":4},{"id":30643,"question":"Si un nombre est divisible par 6, est-il forcément divisible par 3 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un nombre divisible par 6 est divisible par 2 et par 3. Donc, il est forcément 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":30644,"question":"Quel est le PPCM de 8 et 12 ?","option_a":"24","option_b":"16","option_c":"36","option_d":"48","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\": \"16\", \"c\": \"36\", \"d\": \"48\"}}","_debug_options_count":4},{"id":30645,"question":"La somme de deux nombres impairs est-elle toujours paire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme de deux nombres impairs est toujours paire, car (2n+1) + (2m+1) = 2(n+m+1), qui est un multiple de 2.","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":30646,"question":"Simplifiez la fraction 45\/75.","option_a":"3\/5","option_b":"9\/15","option_c":"15\/25","option_d":"5\/9","option_e":"","option_f":"","bonne_reponse":"a","explication":"45\/75 se simplifie par 15 pour donner 3\/5, car 45 ÷ 15 = 3 et 75 ÷ 15 = 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\": \"3\/5\", \"b\": \"9\/15\", \"c\": \"15\/25\", \"d\": \"5\/9\"}}","_debug_options_count":4},{"id":30647,"question":"Quel est le résultat de 2^3 + 3^2 ?","option_a":"17","option_b":"13","option_c":"25","option_d":"15","option_e":"","option_f":"","bonne_reponse":"a","explication":"2^3 = 8 et 3^2 = 9, donc 8 + 9 = 17.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"17\", \"b\": \"13\", \"c\": \"25\", \"d\": \"15\"}}","_debug_options_count":4},{"id":30648,"question":"Un nombre divisible par 9 est-il forcément divisible par 3 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un nombre divisible par 9 est divisible par 3, car 9 est un multiple de 3 (9 = 3 × 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":30649,"question":"Quel est le résultat de (-2)^5 ?","option_a":"-32","option_b":"32","option_c":"10","option_d":"-10","option_e":"","option_f":"","bonne_reponse":"a","explication":"(-2)^5 = -32, car un nombre négatif élevé à une puissance impaire reste négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"-32\", \"b\": \"32\", \"c\": \"10\", \"d\": \"-10\"}}","_debug_options_count":4}]