Question

how many multiple 4 lies between 10and 250?​

Answer 1

Answer:

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Answer 2

The answer is 60.

Method 1: To arrive at the answer, we can either list down all the multiples of 4 between 10 and 250 and count them. This however is a little time consuming. So, lets move onto the other alternatives.

Method 2: First let us find the number of multiples of 4 between 1 and 10 which would be 10/4=2.5

Number of multiples of 4 between 1 and 250 = 250/4=62.5

So, the number of multiples of 4 between 10 and 250 would be

(Number of multiples of 4 between 1 and 250) - (Number of multiples of 4 between 1 and 10)

62.5−2.5=60

Method 3: We need to find the number of multiples of 4 bet

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First term in this series will be 12. also the last digit will be 248.

the the series will be 12,16,20……….248.

it is a arithmetic series with first term a=12 and common difference of 4.

with last term as 248.

so 248=12+(n-1)x4 (lets assume it has n such numbers.)

(n-1).4= 248–12=236

n-1=236/4=59

n=59+1=60.

so 60 multiples of 4 lie between 10 and 250

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