Question

Determine the greatest 3 digit no. which when divided by 8, 10 and 12 leaves remainder as 5 in each case..​

Answer 1

Answer:

965

Step-by-step explanation:

least number that divides three numbers means it is their LCM,

LCM of 8,10,12 is 120.

therefore the greatest three digit number that divides 8,10,12 will be the largest multiple of 120 below 1000,

and that number will be 120*8=960.

but given the number leaves remainder 5 in each case.

that means our required number is 960+5=965.

Hope it helps u....