Interview Maths Puzzle Numerical Ability Permutation and Combination

how many 3 digit numbers are formed with all digits that starts with the odd number and ends with even when repetition is allowed?

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Interview Other Question

How many 4 digit numbers are possible which don't contain 3 or 6 if repetition is allowed? A high school has astrange
principal .on the 1st day he has his
student perform an odd opening day
ceremony .there is 1000 locker &
1000 student in the school. The
principal asks the the 1st student to
go to every locker & open it.then he
has the 2nd student go to every 2nd
locker & close it.the 3rd student
goes to every 3rd locker & if it is
closed he opens it & if it is open
then he close it .the 4th student
goes to every 4th locker & so on
.after the process is completed with
the 1000 student how many lockers
are open