Question

The least number which when divided by 48,64,90,120 leave the remainders 38,54,80,110 respectively is

Answer 1

dividend = divisor * quotient + remainder

dividents = 48, 64,....
quotient = we dont care
divisor = same number (say a)
remainders = 38, 54,...

Answer 2

The first solid hint here is that the remainder when divided by 120 is 110. That means whatever it is, it is divisible by 10. I'm checking mentally to see if guess-and-check is an efficient way to solve this.

Answer 3

Oh, note that 48*5=240=120*2 In fact, most of these numbers have only a few prime factors different from each other.

Answer 4

Do Best Response If i helped you :D