Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is

Question

Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is  (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Here 1 text st digit is 1 or 2 only Case-I If first digit is 1 Then last two digits can be 24,32,36,52,56, 64 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/4eb30e3b819e82f21f666c6cb8ff0a51-.png" />

Q. Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is _____

Here $1^{st}$ digit is 1 or 2 only
Case-I
If first digit is 1
Then last two digits can be $24, 32, 36, 52, 56, 64$

Q. Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is _____

Here 1st digit is 1 or 2 only Case-I If first digit is 1 Then last two digits can be 24,32,36,52,56,64

Here $1^{st}$ digit is 1 or 2 only
Case-I
If first digit is 1
Then last two digits can be $24, 32, 36, 52, 56, 64$