A) 183
B) 182
C) 181
D) 179
Correct Answer: A
Solution :
Sol. |
The numbers are 13511, 13903, 14589 |
Largest number n = HCF of |
(13903 - 13511), (14589 - 13903), |
(14589 -13511) |
= HCF of 392, 686, 1078 |
=98 |
Now the largest number is a factor of above given numbers (13511, 13903, 14589) with same remainder i.e. |
\[13511\,=\,98\times 137+85\] |
\[13909=\,98\times 141+85\] |
\[14589=\,98\times 148+85\] |
\[\therefore \]m is remainder = 85 |
\[\therefore \] m + n = 98 + 85 = 183 |
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