Question
21643=25A+B. Find the least value that B can take?
Answer: Option A
:
A
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The question is asking for the remainder when 21643 is divided by 25.
We can use the last two digits technique to get the answer, since the remainder when a number is divided by 25, depends only on the last two digits.
For numbers ending in 1, the last two digits of a power expression ab can be determined as -
The last digit is always 1.
The 2nd last digit = product of tens digit of base * unit digit of the power i.e. 21643=......61(6 = 2×3)
When 61 is divided by 25, the remainder is 11.
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