Question

Find the greatest number of 5 digits that will give us a remainder of 6, when divided by 9 and 11 respectively.

Answer 1

Find the greatest number of 5 digits that will give us a remainder of 6, when divided by 9 and 11 respectively

 greatest number of 5 digits = 9999

now,

lcm of 9 and 11

11 = 11*1

9 = 3*3

lcm = 3*3*11

 = 99

now,

99999

1010.09..........

roundgf off we get 1010

so,

1010*99

99990

now

it should leave remainder of 6

so,

99990 +6 = 99996

hence 99996 is the greatest number of 5 digits that will give us a remainder of 6, when divided by 9 and 11 respectively.

:)