Quiz : Maîtrisez les nombres modulo 8 et l'algèbre en 8ème année

Question 1 sur 10 10:00

[{"id":20678,"question":"Quel est le résultat de 15 modulo 8 ?","option_a":"7","option_b":"8","option_c":"1","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"15 divisé par 8 donne un quotient de 1 et un reste de 7. Donc 15 modulo 8 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20679,"question":"La propriété (a + b) modulo 8 = (a modulo 8 + b modulo 8) modulo 8 est-elle toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette propriété est vraie grâce à la distributivité du modulo sur l'addition.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20680,"question":"Quel est le résultat de 24 modulo 8 ?","option_a":"0","option_b":"1","option_c":"2","option_d":"3","option_e":"","option_f":"","bonne_reponse":"A","explication":"24 est divisible par 8, donc le reste est 0. Ainsi, 24 modulo 8 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20681,"question":"Si a modulo 8 = 3 et b modulo 8 = 5, quel est le résultat de (a + b) modulo 8 ?","option_a":"0","option_b":"1","option_c":"8","option_d":"7","option_e":"","option_f":"","bonne_reponse":"B","explication":"(3 + 5) = 8, et 8 modulo 8 = 0. Donc (a + b) modulo 8 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20682,"question":"La congruence modulo 8 signifie que deux nombres sont égaux si leur différence est divisible par 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition exacte de la congruence modulo 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20683,"question":"Quel est le résultat de 17 modulo 8 ?","option_a":"1","option_b":"2","option_c":"3","option_d":"9","option_e":"","option_f":"","bonne_reponse":"A","explication":"17 divisé par 8 donne un quotient de 2 et un reste de 1. Donc 17 modulo 8 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20684,"question":"Si a modulo 8 = 4 et b modulo 8 = 2, quel est le résultat de (a * b) modulo 8 ?","option_a":"0","option_b":"1","option_c":"8","option_d":"6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(4 * 2) = 8, et 8 modulo 8 = 0. Donc (a * b) modulo 8 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20685,"question":"La propriété (a * b) modulo 8 = (a modulo 8 * b modulo 8) modulo 8 est-elle toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette propriété est vraie grâce à la distributivité du modulo sur la multiplication.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20686,"question":"Quel est le résultat de 29 modulo 8 ?","option_a":"1","option_b":"3","option_c":"5","option_d":"7","option_e":"","option_f":"","bonne_reponse":"D","explication":"29 divisé par 8 donne un quotient de 3 et un reste de 5. Donc 29 modulo 8 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":20687,"question":"Si a modulo 8 = 6 et b modulo 8 = 3, quel est le résultat de (a - b) modulo 8 ?","option_a":"3","option_b":"5","option_c":"6","option_d":"9","option_e":"","option_f":"","bonne_reponse":"B","explication":"(6 - 3) = 3, et 3 modulo 8 = 3. Donc (a - b) modulo 8 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]