Question

How many multiples of 4 lie between 10 and 250?

Answer 1

Answer:

The number of multiples lies between 10 and 250 is 60.

Step-by-step explanation:

Given :  

Multiples of 4 lies between 10 and 250 are 12, 16, 20, 24, ...., 248.  

These multiples form an AP .  

Here, first term , a = 12 and common Difference , d = 4 , nth term , an = 248

Let 'n' be number of multiples lies between 10 and 250.

By using the formula ,nth term, an  = a + (n -1)d

⇒ a + (n - 1) d = 248  

⇒ 12 + (n - 1) × 4 = 248  

⇒ 12 + 4(n - 1) = 248

⇒ 4(n - 1) = 248 - 12

⇒ 4(n - 1) = 236

⇒ (n - 1) = 236/4

⇒ n - 1 = 59  

⇒ n = 59 + 1

⇒ n = 60

Hence, the number of multiples lies between 10 and 250 is 60.

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Answer 2

Answer:-

60 multiples of 4 lie between 10 and 250

Calculation:

Divisible by 4=250 − 2 = 248

10 and 250 are 12, 16, 20,....etc.. 248. are the multiples.

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