+1 vote
by kratos

Without performing actual division, find the remainder when 928174653 is divided by 11.

1 Answer

+2 votes
by kratos
 
Best answer

We know that if a number is divided by 11, then remainder is difference between sum of even and odd digit places.

i.e., Remainder = 9 + 8 + 7 + 6 + 3 – 2 – 1 – 4 – 5 = 33 – 12 = 21

∴ 21 ÷ 11 gives 10 as remainder

∴ Remainder will be 10 when 928174653 is divided by 11.

...