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Question

On dividing a certain number by 342, we get 47 as remainder . If the same number is divided by 18 , what will be the

number  remainder  ?


Options:
A .  11
B .  9
C .  10
D .  12
Answer: Option A

Suppose that on dividing the given number by 343, we get quotient  = k and  remainder = 47,

Number = 342   + 47

              = (18 x 19k) + (18 x 2) + 11

            = 18 x (19k + 2) + 11

           So , the number when divided by 18 gives remainder = 11  



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