NIFT PG 2020 Question Paper with solutions

Question : 12 of 150

Marks: +1, -0

A number when divided by 361 gives a remainder 47 . If the same number is divided by

19,

then the remainder obtained is

Solution:

Let the number

=N=361 K+47

=361 K+38+9=19(19 K+2)+9

∴ \;\; \;{N}/{19}=\;{19(K+2)+9}/{19}

∴ \;\;

Required remainder

=9

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