A number theory problem by Ratnesh Mishra

Number Theory Level 1

Q)How many multiples of 4 lie between 10 and 250?


The answer is 60.

Ratnesh Mishra by Ratnesh Mishra , 27, India

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2 solutions

Shreyas Joshi
Nov 4, 2014

As before 10 only 2 multiple are left And till 250 we get in total 62 multiples so removing those 2 from 62 gives us the answer

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Maybe it should be mentioned wheter 10 and 250 have to be included.

Mehul Arora - 6 years, 6 months ago
Ratnesh Mishra
Nov 4, 2014

firstly divide the 250 by 4 you will get 2 as remainder. subtract 2 from 250 you get 248. now let it as the nth term. the first term would be 12 which is divisible by 4 then series goes on in this way 12,16,20.................248 use this formula an = a + (n – 1) d. solve for n you will get the answer here d=4 & an =248 answer=60

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