Arithmetic Ability
Numbers

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Q.

How many remainders are possible if 16n is divided by 9 for any positive integral value of n ?

View Answer

Correct choice: C

Explanation:

When 16n is divided by 9, we have 1619 , remainder = 7 1629 , remainder = 4 1639 , remainder = 1 1649 , remainder = 7 1659 , remainder = 4 1669 , remainder = 1 So, we have cyclicity of 3 factors i.e 7,4,1. Hence only 3 remainders are possible.
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