4) 1313 is a common multiple of 101 and 13
Which of these is another common multiple of 101 and 13?
A) 1313 + 13
B) 1313 + 101
C) 1313 + 1313
D) 1313 + 13 + 101

Dear Student,

Option (C) 1313+1313 is correct

$$\begin{gathered} 1313+1313=2626 \\ 2626÷101=26 \\ 2626÷13=202 \\ now lets \mathit{c}\mathit{h}\mathit{e}\mathit{c}\mathit{k}\mathbf{ }\mathit{f}\mathit{o}\mathit{r}\mathbf{ }\mathit{o}\mathit{p}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathbf{ }\mathit{A} \\ 1313+13=1326 \\ 1326÷101=13.28(not a multiple) \\ 1326÷13=102 \\ its a multiple of 13 but not of 101 \\ \mathbf{ }\mathit{c}\mathit{h}\mathit{e}\mathit{c}\mathit{k}\mathbf{ }\mathit{f}\mathit{o}\mathit{r}\mathbf{ }\mathit{o}\mathit{p}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathbf{ }\mathit{B} \\ 1313+101=1414 \\ 1414÷101=14 \\ 1414÷13=108.76(not a multiple) \\ its a multiple of 101 but not of 13 \\ \mathbf{ }\mathit{c}\mathit{h}\mathit{e}\mathit{c}\mathit{k}\mathbf{ }\mathit{f}\mathit{o}\mathit{r}\mathbf{ }\mathit{o}\mathit{p}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathbf{ }\mathit{D} \\ 1313+13+101=1427 \\ 1427÷101=14.12(not a multiple) \\ 1427÷13=109.76(not a multiple) \\ its neither a multiple of 101 nor 13 \end{gathered}$$
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