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Question

Find the last 2 digits of the following number:
65×29×37×63×71×87×85

A
25
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B
35
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C
75
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D
85
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Solution

The correct option is C 75
[65×29×37×63×71×87×85]100[35×29×37×37×29×13×15]100[35×29×37×37×29×13×15]100=[1015×1369×377×15]100[15×69×77×15]100 remainder as 75.

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