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What will be the remainder when 636 is divided by 215?
  • a)
    3
  • b)
    2
  • c)
    1
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What will be the remainder when 636 is divided by 215?a)3b)2c)1d)None ...
We can write 636/215 as
(63)12/215
Or, we can say 21612/215
We will always get remainder 1 on dividing 216 by 215
= 112/215
So, the remainder will be 1.
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Community Answer
What will be the remainder when 636 is divided by 215?a)3b)2c)1d)None ...
To find the remainder when 636 is divided by 215, we can use the concept of modular arithmetic. The remainder when a number is divided by another number can be found by subtracting the largest multiple of the divisor that is less than or equal to the dividend.

- Divisor: 215
- Dividend: 636

Step 1: Finding the largest multiple of the divisor less than or equal to the dividend
To find the largest multiple of 215 less than or equal to 636, we can divide 636 by 215 and round down to the nearest whole number.

636 ÷ 215 = 2.964

The largest multiple of 215 less than or equal to 636 is 2 * 215 = 430.

Step 2: Subtracting the largest multiple from the dividend
To find the remainder, we subtract the largest multiple of 215 from the dividend.

636 - 430 = 206

The remainder when 636 is divided by 215 is 206.

Step 3: Checking the options
Now let's check the options given:

- Option a) 3: The remainder we found is not 3, so this option is incorrect.
- Option b) 2: The remainder we found is not 2, so this option is incorrect.
- Option c) 1: The remainder we found is 206, which is not 1. Therefore, this option is incorrect.
- Option d) None of the above: Since none of the previous options were correct, the correct answer must be "None of the above."

Therefore, the correct answer is option 'd) None of the above'.
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What will be the remainder when 636 is divided by 215?a)3b)2c)1d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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