chiya wrote:

Fistail wrote:

i know its piece of a cake.........

For which n is the remainder largest when the number 817,380 is divided by n?

(A) 4

(B) 5

(C) 6

(D) 8

(E) 9

Answer is D... Reminder is 4..

Short cut Method...
Dividing by 2

-All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8

Dividing by 3

-If the sum is divisible by 3, so is the number

Dividing by 4

-If the last two digits in number is divisible by 4?

If so, the number is too!

for 817,380 380 is divisible by 4, reminder=0

Dividing by 5

-Numbers ending in a 5 or a 0 are always divisible by 5.

for 817,380 last digit it 0, reminder =0

Dividing by 6

-If the Number is divisible by 2 and 3 it is divisible by 6 also.

for 817,380 last digit it 2, divisible by 2

and 8+1+7+3+8+0=27, divisible by 3

Reminder=0

Dividing by 8

-if the last 3 digits are divisible by 8, so is the entire number.

for 817,380 if 380 is divisible by 8 ?, no reminder=4

Dividing by 9

- If the sum of all no's is divisible by 9, so is the number.

8+1+7+3+8+0=27, divisible by 9 reminder=0

So D is the answer