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When 10025 - 25 is written in decimal notation, the sum of its digits is :
Answer & Solution
Correct Answer:
Option
A
10025 - 25
= (102)25 - 25
= 1050 - 25
$$ = \underbrace {\,1000\,.....00\,}_{50\,{\text{zeros}}} - 25$$ $$ = \underbrace {\,9999\,.....\,9975\,}_{48\,{\text{times}}}$$
∴ Sum of digits
= (48 × 9) + 7 + 5
= 432 + 7 + 5
= 444
= (102)25 - 25
= 1050 - 25
$$ = \underbrace {\,1000\,.....00\,}_{50\,{\text{zeros}}} - 25$$ $$ = \underbrace {\,9999\,.....\,9975\,}_{48\,{\text{times}}}$$
∴ Sum of digits
= (48 × 9) + 7 + 5
= 432 + 7 + 5
= 444
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