Question

Count the number of positive integers greater than 500 and less than 3000 which are divisible by 2,

provided that no digits are repeated.​

Answer 1

A. P = 502,504,506,...........,2998

so, a = 502

d = 504-502 = 2

An = 2998

so, according to question condition,,

An = a+(n-1)d

2998 = 502 + (n-1)2

2496/2 = n-1

1248 = n-1

1249 = n ....ans.