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When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

Options:
A .  339
B .  349
C .  369
D .  Data inadequate
Answer: Option B

x = 13p + 11 and x = 17q + 9


When A Number Is Divided By 13, The Remainder Is 11. When Th... 13p + 11 = 17q + 9


When A Number Is Divided By 13, The Remainder Is 11. When Th... 17q - 13p = 2



When A Number Is Divided By 13, The Remainder Is 11. When Th... q =
2 + 13p
17



The least value of p for which q =
2 + 13p
is a whole number is p = 26
17


When A Number Is Divided By 13, The Remainder Is 11. When Th... x = (13 x 26 + 11)


   = (338 + 11)


   = 349


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