Question

In the natural numbers from 10 to 250, how many are divisible by 4.​

Answer 1

There are 250 - 10 - 2 = 238 natural numbers between 250 and 10.

To Find:

How many numbers are divisible by 4 between 10 and 250.

Solution:

let the first term be the multiple of 4 coming after 10 which is 12.

Common difference between any two multiple of 4 is 4.

The last number before 250 which is divisible by 4 is 250-2 = 248

a = 12

d = 4

an = 248

an = a + (n - 1) d

By putting the values, we get

248 = 12 + (n - 1)4

or, n - 1 = $\large {\tt {\frac {248-12}{4}}}$

or, n - 1 = 236/4

or, n = 59 + 1

or, n = 60

Answer:

60 numbers are divisible by 4 between 10 and 250.

Answer 2

There are 250 - 10 - 2 = 238 natural numbers between 250 and 10.

To Find:

How many numbers are divisible by 4 between 10 and 250.

Solution:

let the first term be the multiple of 4 coming after 10 which is 12.

Common difference between any two multiple of 4 is 4.

The last number before 250 which is divisible by 4 is 250-2 = 248

a = 12

d = 4

an = 248

an = a + (n - 1) d

By putting the values, we get

248 = 12 + (n - 1)4

or, n - 1 = $\large {\tt {\frac {248-12}{4}}}$

or, n - 1 = 236/4

or, n = 59 + 1

or, n = 60

Answer:

60 numbers are divisible by 4 between 10 and 250

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