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Question

The largest number which divides 70 and 125 leaving remainders 5 and 8, respectively is


A

1750

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B

13

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C

15

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D

65

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Solution

The correct option is B

13


Largest such number will be the HCF of [ (70-5) , (125-8)]
= HCF (65,117)
65 = 13 x 5

117 =13 x 9
So, HCF =13


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