Q. 94.1( 19 Votes )

# In the natural numbers from 10 to 250, how many are divisible by 4?

Answer :

List of number divisible by 4 in between 10 to 250 are

12, 16,20,24,……….. 248

Let us find how many such number are there?

From the above sequence, we know that

t_{n} = 248, a = 12

t_{1} = 16, t_{2} = 20

Thus, d = t_{2} – t_{1} = 20 – 16 = 4

Now, By using n^{th} term of an A.P. formula

t_{n} = a + (n – 1)d

we can find value of “n”

Thus, on substituting all the value in formula we get,

248 = 12 + (n – 1)× 4

⇒ 248 – 12 = (n – 1)× 4

⇒ 236 = (n – 1) × 4

⇒ n = 59 + 1 = 60

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