The number of all five digit numbers which are divisible by 4 that can be formed from the digits 0,1,2,3,4 (without repetition) is

JEE Main Mathematics question

The number of all five digit numbers which are divisible by that can be formed from the digits (without repetition) is

(A)
(B)Correct
(C)
(D)None of these

Answer: (B)

Solution

A number is divisible by iff its last two digits form a multiple of ; with distinct digits from to the endings are . The first three places take the remaining three digits,

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Question ID VK-020779