How many multiples of 4 lie between 10 and 250?

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.

Was this answer helpful?

  
   

4.5 (21)

Upvote (40)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

BOOK

Free Class

Ask
Question