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 ______. [2018]

Question

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 ______. [2018]

Smart Achievers · Accepted Answer

(625)

The last 2 digits in a 5-digit number divisible by 4 can be 12, 24, 32, 44 or 52.

Also, each of the first three digits can be any of {1, 2, 3, 4, 5}

$∴$ 5 options for each of the first three digits and total 5 options for last 2 digits

$∴$ Required number of 5-digit numbers are = $5 \times 5 \times 5 \times 5 = 625$

Solution

Q.
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 ______. [2018]

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Solution

Q. 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 ______. [2018]

Want Us to Email you About Special Offers & Updates?

Q.
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 ______. [2018]