Question

How many multiples of 4 lie between 10 and 250 .​

Answer 1

Answer: 60  

Let us consider the multiples of 4 which lie between 10 and 250.  

12, 16, 20, 24, 28, 32, 40,……….248.  

It is an Arithmetic Progression(AP), it is defined as a series of numbers in order in which the difference of any two consecutive numbers is a constant value.  

Starting term (a) = 12

Difference (d) = 4  

Let us consider the total number of terms be n, then  

a + (n – 1)d =248

12 + (n – 1)4 = 248  

12 + 4n – 4 = 248  

12 + 4n – 4 – 248 = 0  

4n – 240 = 0  

4n = 240  

n = 60  

∴ There are 60 multiplies of 4 lies between 10 and 250.

Answer 2

Answer:

60

Step-by-step explanation:

Difference of the limits of the given set = 250 - 10 = 240

Of the 240 numbers, multiples of 4 = 240/4= 60