What is the remainder when 36001 + 76000 is ...
What is the remainder when 36001 + 76000 is divided by 13?
• a)
9
• b)
10
• c)
4
• d)
3
Correct answer is option 'C'. Can you explain this answer?
What is the remainder when 36001 + 76000 is divided by 13?a)9b)10c)4d...
36001 = 3 ⋅ (36000) = 3 ⋅ (36)1000 = 3 ⋅ (729)1000 = 3(728 + 1)1000
728 is divisible by 13, so the remainder is 3.
76000 = (74)1500 = (2401)1500 = (2392 + 9)15002392 is divisible by 13, so we have to find the remainder when 91500 is divided by 13.
91500 = (36)500 = (729)500 = (728 + 1)500
since 728 is divisible by 13, therefore the remainder is 1.
So the net remainder = 3 + 1 = 4
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What is the remainder when 36001 + 76000 is divided by 13?a)9b)10c)4d)3Correct answer is option 'C'. Can you explain this answer?
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