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Q.

If 57 is divided by 17 , then express it in the form of N=aq+r,  where 0r<a .  

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a

57=17×411

b

57=19×3+0

c

57=17×3+6

d

57=11×5+2

answer is C.

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Detailed Solution

57=17×3+6

Option (A): 19×3+0=57+0=57  correct but they asked divided by 17 .

Option (B): 57=17×411=6811=57  correct but when it is divided by 17 it leaves reminder 6 and it must be non- negative.

Option (C): 57=17×3+6=51+6=57  correct and also it is divided by 17  and leaves reminder 6. So answer is C

Option (D): 57=11×5+2=55+2=57 correct but here divided by 11 and leaves reminder 2. So answer is C

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