Question:
The smallest number that should be subtracted from 2085, so that the new number is completely divisible by 23 is
The smallest number that should be subtracted from 2085, so that the new number is completely divisible by 23 is
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For “smallest number to subtract to be divisible by $m$”, compute remainder $r$ of $N$ on division by $m$ and subtract $r$.
Updated On: Aug 13, 2025
- 9
- 15
- 20
- 19
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The Correct Option is B
Solution and Explanation
Find the remainder when $2085$ is divided by $23$.
$23\times 90=2070$, so remainder $=2085-2070=15$.
Subtracting the remainder makes it divisible by $23$: $2085-15=2070$.
Hence the least number to subtract is 15.
$23\times 90=2070$, so remainder $=2085-2070=15$.
Subtracting the remainder makes it divisible by $23$: $2085-15=2070$.
Hence the least number to subtract is 15.
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