Question

Question No.4
How many numbers between 200 and 600 ( both inclusive )are divisible by 4, 5 and 6?​

Answer 1

Answer:

The first number that is divisible by 4,5 and 6 in 200–600 is 240 .

Now lets just take the lcm of 4,5,6

Ie 60.

Which means. After every 60 , the number obtained is divisible by 4,5,6.

The last number divisible by 4,5,6 is 540(i am not considering 600 as the question says between 200–600 which is they are excluded)

Now using arthmatic progression

We can find the number of terms.

540=240+(n-1)60

300/60=n-1

N= 6

So the number of terms are 6!

Ps . We could have easily calculated it without the use of AP. By just taking the lcm and adding it untill it gets to 600.

My purpose of using ap was to give you an idea as to how to approach these type of questions. you could Solve any ques of this type Now.

Hope this helps.

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