Tìm số tự nhiên nhỏ nhất, biết rằng khi chia cho \(8,\,\,10,\,\,15,\,\,20\) được số dư theo thứ tự \(5,\,\,7,\,\,12,\,\,17.\)
A.\(115\)
B.\(117\)
C.\(119\)
D.\(121\)

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Tìm hai số tự nhiên \(a\) và \(b\) biết \(BCNN(a;\,\,b) - UCLN\left( {a,\,\,b} \right) = 35.\)
A.\(\left( {a;\,\,b} \right) = \left\{ {\left( {1;\,36} \right),\,\,\left( {36;\,\,1} \right),\,\,\left( {4;\,\,9} \right),\,\,\left( {9;\,\,4} \right),\,\,\left( {5;\,\,40} \right),\,\,\left( {40;\,\,5} \right),\,\,\left( {7;\,\,42} \right),\,\,\left( {42;\,\,7} \right),\,\,\left( {35;\,\,70} \right),\,\,\left( {70;\,\,35} \right)} \right\}.\)
B.\(\left( {a;\,\,b} \right) = \left\{ {\left( {1;\,36} \right),\,\,\left( {36;\,\,1} \right),\,\,\left( {4;\,\,9} \right),\,\,\left( {9;\,\,4} \right),\,\,\left( {5;\,\,40} \right),\,\,\left( {40;\,\,5} \right),\,\,\left( {7;\,\,42} \right),\,\,\left( {42;\,\,7} \right),\,\,\left( {14;\,\,21} \right),\,\,\left( {21;\,\,14} \right)} \right\}.\)
C.\(\left( {a;\,\,b} \right) = \left\{ {\left( {1;\,36} \right),\,\,\left( {36;\,\,1} \right),\,\,\left( {5;\,\,40} \right),\,\,\left( {40;\,\,5} \right),\,\,\left( {7;\,\,42} \right),\,\,\left( {42;\,\,7} \right),\,\,\left( {14;\,\,21} \right),\,\,\left( {21;\,\,14} \right),\,\,\left( {35;\,\,70} \right),\,\,\left( {70;\,\,35} \right)} \right\}.\)
D.\(\left( {a;\,\,b} \right) = \left\{ {\left( {1;\,36} \right),\,\,\left( {36;\,\,1} \right),\,\,\left( {4;\,\,9} \right),\,\,\left( {9;\,\,4} \right),\,\,\left( {5;\,\,40} \right),\,\,\left( {40;\,\,5} \right),\,\,\left( {7;\,\,42} \right),\,\,\left( {42;\,\,7} \right),\,\,\left( {14;\,\,21} \right),\,\,\left( {21;\,\,14} \right),\,\,\left( {35;\,\,70} \right),\,\,\left( {70;\,\,35} \right)} \right\}.\)