?
Find the remainder when 67107 is divided by 7.
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \frac{{{{67}^{107}}}}{7} \cr
& Or,\,\frac{{{{\left( {7 \times 9 + 4} \right)}^{107}}}}{7} \cr
& {\text{The}}\,{\text{remainder}}\,{\text{will}}\,{\text{be}}\,{\text{same}}\,{\text{as}} \cr
& \frac{{{4^{107}}}}{7} \cr
& Or,\,\frac{{{4^3}}}{7} \cr
& Or,\,\frac{{64}}{7} \cr
& {\text{Required}}\,{\text{Remainder}} = 1 \cr} $$
Join the Discussion
Login to post a comment or share your explanation.
LoginRight is 2 ??
Right is 2 ??
the ans is remainder=2
Or, (7*9+4)107/7
And the remainder 107/6 = 5
The remainder will be same as
4^5 / 7
Or, 16 * 64 /7
Or, 2 * 1 /7
Required Remainder = 2.