Multiple choice

Find the remainder of 2100 when divided by 3.

  1. 2

  2. 1

  3. 4

  4. 7

  5. 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

2 ^ {100} = 2 ^ {4} ^ {25} = (4.4) ^ {25} = (15 + 1) ^ {25} = (3.5 + 1) ^ {25} Now, as we divide the expression, (3.5 + 1) ^ {25} by 3, the first part, i.e. 3.5 is divisible by 3. The second part 1 will remain as a remainder, i.e. (1) ^ {25} = 1. So, the remainder is 1. Therefore, option 2 is correct.

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