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The number of four digited numbers formed by 1, 2, 5, 6, 7 divisible by 25 is

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a
42
b
12
c
26
d
46

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detailed solution

Correct option is B

Given digits are 1, 2, 5, 6, 7

A number is divisible by 25 when last 2 digits of the number is divisible by 25.

Last 2 boxes can be filled by 25, 75 in 2 ways

Remaining 2 boxes can be filled by remaining 3 digits in 3P2  ways.

 Required 4 digit numbers =3P2×2

       =12

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