Question

find the latest number of 5 digit with on beginning divided by 40 60 75 leaves 31 51 and 66 as remainder​

Answer 1

Difference, 40 - 31 = 9

60 - 51 = 9

75 - 66 = 9

Difference between numbers and remainder is same in each case.

Then,

The answer = {(LCM of 40, 60, 75) - 9}

40 = 2 × 2 × 2 × 5

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

LCM = 2 × 2 × 2 × 5 × 5 × 3 = 600

But, the least number of 5 digits = 10000

10000/600,

  we get remainder as 400

Then, the answer = 1000 - (600 - 400) - 9 = 10191