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On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?


Options:
A .  0
B .  3
C .  5
D .  11
Answer: Option C

Let x be the number and y be the quotient. Then,

x = 357 x y + 39

  = (17 x 21 x y) + (17 x 2) + 5

  = 17 x (21y + 2) + 5)

On Dividing A Number By 357, We Get 39 As Remainder. On Div...Required remainder = 5.


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