Question

How many numbers between 300 to 500 are divisible by either 8 or 11?

Answer 1

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Answer 2

Answer:

The number of term between 300 to 500 are divisible by 8 is 25.

The number of term between 300 to 500 are divisible by 11 is 18.

Step-by-step explanation:

To find : How many numbers between 300 to 500 are divisible by either 8 or 11?

Solution :

Numbers between 300 to 500 are divisible by 8 is given by,

304,.......,496.

The first term a=304

The common difference d=8

The last term l=496

The last term formula is

$l=a+(n-1)d$

$496=304+(n-1)8$

$496-304=(n-1)8$

$\frac{192}{8}=(n-1)$

$n-1=24$

$n=25$

Therefore, The number of term between 300 to 500 are divisible by 8 is 25.

Numbers between 300 to 500 are divisible by 11 is given by,

308,.......,495.

The first term a=308

The common difference d=11

The last term l=495

The last term formula is

$l=a+(n-1)d$

$495=308+(n-1)11$

$495-308=(n-1)11$

$\frac{187}{11}=(n-1)$

$n-1=17$

$n=18$

Therefore, The number of term between 300 to 500 are divisible by 11 is 18.