Question

What is the least 4-digit number between 5000 and 6000 that is divisible
by 2 and 5?
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used?
SOLVE
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ANSWER
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Answer 1

Answer:

5010

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the L.C.M of 2 and 5 is 10

any number divisible by 10 will be divisible by both of them

Answer 2

Given: number between 5000 and 6000

Divisible by 2 and 5

To find: least 4 digit number divisible by both 2and 5

Solution:

Least 4 digit number means smallest 4 digit number which lies between 5000 and 6000 also divisible by both 2 and 5

LCM OF 2 and 5 is 10

We can apply trick that:

If any number is divisible by lcm of two numbers than that number is divisible by those numbers also

So check which least numbers follows this rule

Here it comes 5010 which is divisible by LCM that is 10 so it is divisible by both 2 and 5

Answee: Least 4 digit number divisible by both 2 and 5 ,lies between 5000 and 6000 is 5010