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Question

The given pair of numbers 231,396 are __________ .

A
multiple of each other
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B
factors of each other
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C
co-prime to each other
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D
having a difference of 120 among each other
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Solution

The correct option is D co-prime to each other
Euclid's division lemma,
a=bq+r ; 0r<b
Applying Euclid's Algorithim to 231,395
395=231×1+164
231=164×1+67
164=67×2+30
67=30×2+7
30=7×4+2
7=2×3+1
2=1×2+0

The given numbers have only 1 as common factor.
Hence, the given numbers are co-prime.

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