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QJEEAdv18Ma722a: JEE Advanced 2018 Mathematics - Class 11 JEEAdv18Ma722a Solution: The number of 5 digit numbers which are divisible by 4, with…

The number of 5 digit numbers which are divisible by 4, with digits from the set {1, 2, 3, 4, 5} and the repetition of digits is allowed, is .................

Step-by-Step Verified Solution

A number is divisible by 4 if last 2 digit number is divisible by 4.

∴\therefore Last two digit number divisible by 4 from (1, 2, 3, 4, 5) are 12, 24, 32, 44, 52

∴\therefore The number of 5 digit number which are divisible by 4, from the digit (1, 2, 3, 4, 5) and digit is repeated is 5 ×\times 5 ×\times 5 ×\times (5 ×\times 1) = 625

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