Question

find the least 5 digit number which on dividing by 12,16,30,36 leaves a reminder 5.​

Answer 1

Step-by-step explanation:

Let number n be least 5 digit number such that

n=12k12+8

n=16k16+8

n=20k20+8

n=25k25+8

Then

12k12=16k16=20k20=25k25

Therefore k25 is divisible by 12,16:

k25=48h

48=lcm(12,16)

25k25=1200h and 1200 is divisible by 12,16,20

n=1200h+8 n is minimal so h=9

n=10808

10808=12∗100∗9+8

10808=16∗75∗9+8

10808=20∗60∗9+8

10808=25∗48∗9+8

Answer : 10808

Answer 2

Answer:

it's too easy bro.

just take out these remainders and divide by 5.you will got your answer.