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Question

Of the given pairs of numbers, the pair(s) of co-prime numbers is/are:
(i) 231, 396
(ii)847, 2160

A
Only (i)
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B
Only (ii)
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C
Both (i) and (ii)
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D
Neither (i) nor (ii)
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Solution

The correct option is B Only (ii)
Let us find the H.C.F of each pair of number
(i)396=231×1+165
231=165×1+66
165=66×2+33
66=33×2+0
Therefore the HCF=33. Hence the numbers are not co-prime
(ii)2610=847×2+466
847=466×1+381
466=381×1+85
381=85×4+41
85=41×2+3
41=3×13+2
3=2×1+1
2=1×2+0
Therefore the H.C.F=1. Hence the numbers are co-prime.

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