Question

Find the least number of 5 digits, which is being divided by 40, 60 and 75
leaves 31, 51 and 66 as remainders respectively.
​

Answer 1

Answer:

10901

Step-by-step explanation:

Difference,

40 - 31 = 9

60 - 51 = 9

75 - 66 = 9.

As we can see that difference between number and remainder is same in each case.

Answer = LCM of (40,60,75) - 9

LCM = 600

Least 5 digit number = 10000

10000÷600

We get remainder as 400.

Then the answer is,

[1000 - (600-400) - 9]

= 10191.

Plz mark as brainliest and rate 5 stars :)