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Question

What is the digit at the hundredths place of the number (225)40?

A
2
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B
4
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C
6
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D
8
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Solution

The correct option is C 6
The last three digits of any number are the same as the remainder when we divide the number by 1000.
(225)401000=580.9401000=577.9408
940=(8+1)40 gives remainder 1 when we divide it by 8
5778=5.(24+1)388 leaves a remainder 5
So last three digits of (225)40=125×5=625
So the value of 100th digits is 6.

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