Question

how many numbers lie between,10 and 300 which when divided by 4, leaves a remainder 3?

Answer 1

$\underline{\textsf{To find:}}$

$\textsf{How many numbers lie between,10 and 300 which}$

$\textsf{when divided by 4, leaves a remainder 3?}$

$\mathsf{}$

$\underline{\textsf{Solution:}}$

$\textsf{The numbers which leave remainder 3 when divided by 4 are}$

$\mathsf{11,15,19,............,299}$

$\textsf{They form an A.P with a=11,d=4 and l=299}$

$\textsf{We apply the formula,}$

$\boxed{\mathsf{n=\dfrac{l-a}{d}+1}}$

$\mathsf{n=\dfrac{299-11}{4}+1}$

$\mathsf{n=\dfrac{288}{4}+1}$

$\mathsf{n=72+1}$

$\implies\mathsf{n=73}$

$\underline{\textsf{Answer:}}$

$\textsf{There are 73 numbers between 10 and 300 which leave remainder 3}$

$\textsf{when divided by 4}$

Find more:

How many 3- digit numbers are divisible by 3????

https://brainly.in/question/3683371