Elitmus
Exam
Logical Reasoning
Number Series
if (9+9^2+9^3+.......9^n)is divide 6 ,reminder will be ? (n is a multiples of 11)
Read Solution (Total 9)
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- 3n will be the remainder when given term is divided by 6
now since n is a multiple of 11 then
3(11)=33 i.e. rem =3
again 3(22)==66 rem =0
3(33)=99 rem=3
if n is odd then remainder is 3
if n is even the remainder is 0
ans remainder is 3,0 - 11 years agoHelpfull: Yes(36) No(0)
- if n is odd then remainder is 3 and when n is even then remainder is 0....
- 11 years agoHelpfull: Yes(12) No(0)
- 3 is the ans
- 11 years agoHelpfull: Yes(8) No(6)
- remainder is 3 when 6 divides any power of 9.
So, we get 3n as remainder.
As n is a multiple of 11, assuming n as 11 itself and dividing by 6, rem is 3
so, 3 is the Ans.
- 11 years agoHelpfull: Yes(4) No(2)
- 1 or 3 or 5 ........
- 11 years agoHelpfull: Yes(2) No(14)
- it can be written as 9(9^11-1)/8
when power of 9 divided by 6 always remainder will be 3.
hence answer=3 - 11 years agoHelpfull: Yes(2) No(1)
- let n=1;
9%6=3;
3+9+27+81..........[up to 11 term]
lets take the remaider up to 11th term..
3+3+3+.....[11 times]
33%6=3
ans=3 - 9 years agoHelpfull: Yes(1) No(1)
- ans will be 3 bcz here given the value of n=1
- 8 years agoHelpfull: Yes(0) No(0)
- The sum of this is 9(9^11-1)/8
and 6 can be written as 2*3 so 9 id devisable by 3 and (9^11-1) is always even so it devisable by 2 so reminder is 0 - 7 years agoHelpfull: Yes(0) No(0)
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