Question

6. 100 तथा 200 के बीच आने वाले उन पूर्णांकों, जो 9 तथा 6 दोनों
से विभाजित हो, की कुल संख्या होगी​

Answer 1

Step-by-step explanation:

Numbers between 100 and 200 which are divisible by 6 and 9 both are given as:

(since, LCM of 6 and 9 is 18, so the numbers divisible by 6 and 9 both between 100 and 200 will be the multiples of 18 lying between 100 and 200)

108, 126, 144, 162, 180, 198

Hence, there are total 6 numbers between 100 and 200 which are divisible by 6 and 9 both.

Answer 2

The required answer is 6.

Step-by-step explanation:

Consider the provided information.

We need to find the number of integers which are divisible by 9 and 6 from 100 to 200.

First find the least number which is divisible by 9 and 6.

9 = 3 × 3

6 = 2 × 3

The LCM of 9 and 6 is 2 × 3 × 3 = 18

We need to find the number of multiples of 18 between 100 to 200.

The first number which is divisible by 18 after 100 is 108.

Other multiples are: 126, 144, 162, 180, 198

Hence, the required answer is 6.

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