Question

Find the least number of 5 digit number which when divided by 12 , 16 , 20 ,25 leaves remainder 8 in each case .

Answer 1

Let's find LCM (12,16,20,25)

12=2²×3

16=2⁴

20=2²×5

25=5²

LCM=2⁴×3×5²=1200

we know that least five digit number is 10000

dividing 10000 by 1200 we get 400 as remainder and quotient as 8.333(approx)

now , 1200×8 +8 but we r getting a four digit number so

required number =1200×9+8=10808