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Question

The largest number which divides 92 and 159, leaving remainders of 7 and 6 respectively, is

A
17
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B
585
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C
765
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D
13
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Solution

The correct option is A 17
The largest number which divides 92 and 159, leaving remainders 7 and 6 respectively is equal to HCF (92 - 7, 159 - 6)
= HCF (85,153)
85=5×17
153=32×17
So, HCF (85,153) = 17
Hence, correct option is a

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