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Question : 164 of 180
Marks:
+1,
-0
Solution:
We have,
32‌=4(bmod‌5)
(32)2‌=16(bmod‌5)=1(bmod‌5)
(34)25‌=(1)25(bmod‌5)
⇒‌‌3100‌=1(bmod‌5)
‌ Again, ‌22‌=4(bmod‌5)
(22)2‌=16(bmod‌5)=1(bmod‌5)
(24)12‌=(1)12(bmod‌5)=1(bmod‌5)
248⋅22‌=4(bmod‌5)
∴3100×250‌=1×4(bmod‌5)=4(bmod‌5)
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