A) 2 and 3
B) 3 and 10
C) 2, 3 and 10
D) 2, 3 and 13
Correct Answer: D
Solution :
Sol. [d] 2, 3 and 13 |
\[{{3}^{13}}-{{3}^{10}}={{3}^{10}}({{3}^{3}}-1)={{3}^{10}}(26)\] |
\[=2\times 13\times {{3}^{10}}\] |
Hence, \[{{3}^{13}}-{{3}^{10}}\] is divisible by 2, 3 and 13. |
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