Question

The greatest five digit number when divided by 5, 6 and 7 leaves a reminder of 2 is

Answer 1

hey guy this example help u


Smallest five digit number = 10000

Let us divide this by the L.C.M of 7, 11, 21

L.C.M of 7, 11, 21 = 231 (Refer Factoring - Least Common Multiple (LCM) - In Depth to calculate the LCM)

Dividing 10000 by 231 leaves a reminder 67 , Subtract 67 from 10000 = 9933

So this means 9933 is divisible by 231.

9933+231 = 10164 (which will also be divisible by 231, 7, 11 and 21)

To find the number which leaves reminder 5, we have to add 5 to 10164.

So the answer is 10169.

Answer 2

hi what u are asking pagal.