Question

Howmanynumbers lie between 10 and300,which when divided byby 4leave a remainder3?

Answer 1

In fact we have to find 'n' that is the number of terms of the AP.

an = a + (n - 1)d

299 = 11 + (n -1)4

299 = 11 + 4n - 4

299 - 11 + 4 = 4n

292 = 4n

n = 292/4

n = 73

So, total 73 numbers lie between 10 to 300 which when divided by 4 leaves a remainder 3.