Quiz — Série-d’exercices-n°-10-Arithmétique.pdf

Question 1 sur 10 20:00

[{"id":48634,"question":"Quel est le PGCD de 24 et 36 ?","option_a":"6","option_b":"12","option_c":"8","option_d":"18","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PGCD (Plus Grand Commun Diviseur) de 24 et 36 est 12, car c'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\": \"8\", \"d\": \"18\"}}","_debug_options_count":4},{"id":48635,"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 : une règle de divisibilité par 3 stipule que si la somme des chiffres d'un nombre est divisible par 3, alors ce nombre l'est aussi.","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":48636,"question":"Quelle est la fraction simplifiée de 18\/24 ?","option_a":"3\/4","option_b":"9\/12","option_c":"6\/8","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fraction 18\/24 se simplifie en divisant le numérateur et le dénominateur 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\": \"a\", \"options\": {\"a\": \"3\/4\", \"b\": \"9\/12\", \"c\": \"6\/8\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":48637,"question":"Le PPCM de 5 et 7 est :","option_a":"12","option_b":"35","option_c":"20","option_d":"15","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le PPCM (Plus Petit Commun Multiple) de 5 et 7 est 35, car 35 est le plus petit nombre divisible à la fois par 5 et 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\": \"12\", \"b\": \"35\", \"c\": \"20\", \"d\": \"15\"}}","_debug_options_count":4},{"id":48638,"question":"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":"Faux : un nombre pair est divisible par 2, mais pas nécessairement par 4. Par exemple, 6 est pair mais n'est pas 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":48639,"question":"Quelle est la somme de 12\/5 et 3\/5 ?","option_a":"15\/5","option_b":"9\/5","option_c":"15\/10","option_d":"3\/5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour additionner deux fractions de même dénominateur, on additionne les numérateurs : 12\/5 + 3\/5 = 15\/5, qui se simplifie en 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\": \"15\/5\", \"b\": \"9\/5\", \"c\": \"15\/10\", \"d\": \"3\/5\"}}","_debug_options_count":4},{"id":48640,"question":"Le nombre 123 est-il divisible par 9 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai : la somme des chiffres de 123 est 1+2+3=6, qui n'est pas divisible par 9. Cependant, la question est mal formulée : 123 n'est pas 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":48641,"question":"Quelle est la fraction irréductible équivalente à 45\/60 ?","option_a":"3\/4","option_b":"9\/12","option_c":"5\/6","option_d":"15\/20","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fraction 45\/60 se simplifie en divisant le numérateur et le dénominateur par 15, 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\": \"a\", \"options\": {\"a\": \"3\/4\", \"b\": \"9\/12\", \"c\": \"5\/6\", \"d\": \"15\/20\"}}","_debug_options_count":4},{"id":48642,"question":"Le PGCD de deux nombres premiers entre eux est toujours égal à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Vrai : deux nombres premiers entre eux n'ont aucun diviseur commun autre que 1, donc leur PGCD est 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":48643,"question":"Quelle est la différence entre 7\/3 et 2\/3 ?","option_a":"5\/3","option_b":"9\/3","option_c":"5\/6","option_d":"1\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour soustraire deux fractions de même dénominateur, on soustrait les numérateurs : 7\/3 - 2\/3 = 5\/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\": \"5\/3\", \"b\": \"9\/3\", \"c\": \"5\/6\", \"d\": \"1\/3\"}}","_debug_options_count":4}]