Question

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

• A. 36
• B. 30
• C. 34
• D. None of these

Answer 1

Answer: (B)

30

Answer 2

The number formed will be divisible by 4 if the number formed by the two digits on the extreme right is divisible by 4, i.e. it should be 04, 12, 20, 24, 32, 40.

The number of numbers ending in 04 = 3! = 6

The number of numbers ending in 12 = 3! – 2! = 4

The number of numbers ending in 20 = 3! = 6

The number of numbers ending in 24 = 3! – 2! = 4

The number of numbers ending in 32 = 3! – 2! = 4

The number of numbers ending in 40 = 3! = 6

So, the required number = 6 + 4 + 6 + 4 + 4 + 6 = 30.