QUANTITATIVE APTITUDE If 17^200 divided by 19 the remainder is

SSC CGL Model Paper 19

Question : 51 of 100

Marks: +1, -0

QUANTITATIVE APTITUDE

17^200

divided by 19 the remainder is

Solution:

(19-2)^200

is devided by 19
⇒ Remainder will depend upon

2^100/19

=((2)^4)^50/19=16^50/19=(19-3)^50/19

=3^50/19=(3^5)^10/19=(243)^10/19

⇒(247-4)^10/19

Remainder will depend upon

4^10/19=16^5/19

(19-3)^5/19={-3}^5/19=-243/19

= -4 remainder
⇒ 15

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