Q. 255.0( 7 Votes )

# Find the sum of all two digit numbers which when divided by 4, yields 1 as the remainder.

Answer :

the series which satisfies the above condition is

13, 17, 21….97

**To find**: the sum of all two - digit numbers which when divided by 4, yields 1 as the remainder

So, it is an AP whose first term is 13 and common difference d as 4

Now for the finding number of terms, the **formula** is

And

n = 22

we know that the sum of AP is given by the **formula:**

substituting the values in the above equation

s = 1210

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