KCET · Maths · Binomial Theorem
The remainder when, \(10^{10} \cdot\left(10^{10}+1\right)\left(10^{10}+2\right)\) is divided by 6 is
- A 2
- B 4
- C 0
- D 6
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
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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