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

13

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65

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875

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1750

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Solution

The correct option is C $13$
The largest number which divides $70$ and $125$ is the H.C.F of the numbers.
$70 - 5 = 65$ and
$125 - 8 = 117$
Therefore,
$65 = 5 \times 13$
$117 = 3 \times 3 \times 13$
Therefore,
H.C.F, of $65$ and $117 = 13$

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

A) 13
B) 65
C) 875
D) 1750

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

70

125,

5

8

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