Q.

Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11, is equal to _________ .            [2023]


Ans.

(710)

Number divisible by 3,1002,1005,…,2799

Tn=1002+3(n-1)=2799n=600

Number divisible by 11 are 164

Number divisible by 33 are 54

Total number=600+164-54=710