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Q.

The number of four digited numbers formed by 2, 4, 5, 7, 8 divisible by 4 is

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a

36

b

46

c

56

d

66

answer is A.

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Detailed Solution

A number is divisible by 4 if last 2 places are filled with multiples of 4 consider 4 places.

Last 2 places can be filled using {24, 28, 48, 52, 72, 84} in 6ways.

Remaining 2 places can be filled by using remaining 3 digits in 3p2 ways.

No of 4 digit number divisible by 4 using {2, 4, 5, 7, 8} =6×3p2

                                                                                 =6×6=36

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