Question

The number of 4 digit numbers that can be formed with 0,1,2,3,5 which are divisible by 2 or 5 is

• A. 84
• B. 60
• C. 120
• D. 53

Answer 1

The correct option is B 60

If 0 is in units place (divisible by both 2 and 5) in ${}^4{\text{P}}_3=24.$
If 2 is in units place (divisible by 2) in ${}^4{\text{P}}_3{-}^3{\text{P}}_2=18.$
If 5 is in units place (divisible by 5) in ${}^4{\text{P}}_3{-}^3{\text{P}}_2=18.$
therefore required number of numbers = 60