Question

Write any three four digit numbers which are divisible by 4 and Write any three four digit numbers which are divisible by 6​

Answer 1

Well, first lets figure out the total count of 4-digit numbers.

The lowest 4 digit number is “1,000”. The highest is “9,999”. If we count all the four digit numbers, we find out that there are precisely 9,000 different four digit numbers.

Now how many of these are divisible by 6? Well, if we draw a number line, we will find that there is a pattern to which numbers are divisible by six. We go 1,2,3,4,5, then 6 is divisible by 6. Next 7,8,9,10,11, then 12 is divisible by six.

So every sixth number is divisible by six. This is a regular pattern, that goes through all the numbers. Since this pattern is regular, we know that precisely one out of every 6 numbers is divisible by 6.

So if we take the 9,000 different four digit numbers, and divide this number by 6, we find that precisely 1500 (which is 9000/6) four digit numbers are divisible by 6.

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