Question

18. Find how many integers between 200 and 500 are divisible by 8.
[CBSE 2017]​

Answer 1

The integers between 200 and 500 which are divisible by 8 are 208, 216, 224, ....... , 496.

The given series in an A.P since d = 8.
Here, a = 208, d = 8 and an = 496

an = a + (n - 1)d
→ 496 = 208 + (n - 1)8
→ 8n - 8 = 288
→ 8n = 296
→ n = 37


→ There are 37 integers between 200 and 500 that are divisible by 8.


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Answer 2

There are total 37 integers between 200 and 500 which are divisible by 8

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