Question

The least number multiple of 11 that divided
by 8,9,12 and 14 leaves 4 as remainder in
each case
(a) 1004
(b) 1012
(c) 1234
(d) None​

Answer 1

Answer:

1012

Step-by-step explanation:

1012=92*11

1012-4=1008

1008 is divisible by 8,9,12 and 14

Answer 2

Answer:

b)1012

Step-by-step explanation:

Hope this will help you

First take l.c.m of 8,9,12,14

l.c.m=504

Required Number N=(504×K)+4

put K=1,2,3.......

upto we get the multiple of 11

Here i put K=2

N=(504×2)+4

N=1008+4

N=1012

which is divisible by 11 by 92 times

so the required number is 1012.