Question

N is largest 3 digit number which when divided by 3, 4, 6 leaves remainder 1 , 2 , 4. what is the remainder when it is divided by 7

Answer 1

The least common multiple of 2, 3, 4, 5, 6 is their LCM=60.

So, the answer is the least number such that it is a multiple of 7 and a multiple of 60 leaving remainder 1.

∴The required answer is 301.