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The remainder when, $10^{10} \cdot\left(10^{10}+1\right)\left(10^{10}+2\right)$ is divided by 6 is
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The correct answer is:
0
Here, $10^{10} \cdot\left(10^{10}+1\right) \cdot\left(10^{10}+2\right)$ is a product of 3 consecutive integers.
Therefore, it is divisible by 3 ! i.e., 6 .
So, required remainder is 0 .
Therefore, it is divisible by 3 ! i.e., 6 .
So, required remainder is 0 .
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