Question

which least 5- digit number is exactly divisible by 75

Answer 1

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Answer 2

10050 is the least 5 digit number which is divisible by 75.

Solution:

To find least 5 digit number first need to find the solution of division of the least 5 digit number with 75. The least 5-digit number is 10000.  

Divide 10000 by 75 we get the value of quotient as 133 and decimal of .333

Now if the quotient where to be 133 than number is greatest 4-digit number but what we want is least 5 digit number so the next number that multiplied by 75 be 134 to reach least 5 digit number.  

The difference between 133.33 and 134 is 0.66

133.33 -134 = 0.66

if 0.66 is multiplied by 75 we get 49.99 or 50.

$0.66 \times 75 = 49.99 = 50$

10000 + 50 =10050  

So, the solution is if 50 is added to 10000, then we get the least 5 digit number that is divisible by 75.