How many numbers lie between `10` and `300`, which divided by `4` leave a remainder `3``?`

Explanation

Here, the first number is 11, which divided by 4 leave remainder 3 between 10 and 300.
Last term before 300 is 299, which divided by 4 leave remainder 3.
` :. 11, 15, 19, 23, …, 299`
Here, first term (a) = 11, common difference d = 15 - 11 = 4
` :' n`th term, `a_(n)=a+(n-1)d=l " " ` [ last term ]
`implies299=11+(n-1)4`
`implies 299-11=(n-1)4`
`implies 4(n-1)=288`
`implies (n-1)=72`
` :. " " n=73`