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The smallest number that should be subtracted from 2085, so that the new number is completely divisible by 23 is
  • a)
    9
  • b)
    15
  • c)
    20
  • d)
    19
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The smallest number that should be subtracted from 2085, so that the n...
By dividing 2085 by 23 we get quotient as 90 and remainder as 15.
So clearly 15 must be subtracted
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Most Upvoted Answer
The smallest number that should be subtracted from 2085, so that the n...
Because When You divide the number 2085 by 23 you get Remainder 15 .... Which is the Smallest number to be subtracted from 2085 to make it completely divisible by 23.
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The smallest number that should be subtracted from 2085, so that the n...
To find the smallest number that should be subtracted from 2085 to make it completely divisible by 23, we can use the concept of remainder when dividing two numbers.

Step 1: Calculate the remainder when 2085 is divided by 23.
To do this, divide 2085 by 23 using long division or a calculator. The remainder is the number left over after dividing, which in this case is 6.

Step 2: Determine the number to subtract.
The number we need to subtract from 2085 should leave a remainder of 0 when divided by 23. This means that the number we subtract should be a multiple of 23.

Step 3: Find the smallest multiple of 23 that is greater than or equal to 6.
To do this, we can start with the remainder (6) and keep adding 23 until we find a multiple that is greater than or equal to 6.
6 + 23 = 29 (not a multiple of 23)
6 + 23 + 23 = 52 (a multiple of 23)

Step 4: Subtract the smallest multiple of 23 from 2085.
2085 - 52 = 2033

Therefore, the smallest number that should be subtracted from 2085 to make it divisible by 23 is 52.
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The smallest number that should be subtracted from 2085, so that the new number is completely divisible by 23 isa)9b)15c)20d)19Correct answer is option 'B'. Can you explain this answer?
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