Question

1. Find how many integers
between 200 and 500 which
are exactly divisible by 8.​

Answer 1

Answer:

Thee are total 300 integers between 200 and 500.

No. divisible by 8 b/w 200 and 800 are-

208 , 216 , 224 , 232 ,......... 496

Now, In the given AP series,

a- 208 , d- 8 , An- 496 , n-?

As we know,

An = a + ( n - 1 ) d

496 = 208 + (n - 1 ) 8

496 - 208 = ( n - 1 ) 8

288 = ( n - 1 ) 8

288/8 = n - 1

n - 1 = 36

n = 36 + 1

n = 37

Hence, no. of integers exactaly divisible by 8 between 200 and 50p are 37.