Question

How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?

• A. 50
• B. 45
• C. 60
• D. 65

Answer 1

The Correct Option is A

The sum of the digits must be a multiple of 3. We can use (A) 2,4,0,3 or (B) 2,4,0,6 or (C) 2,4,3,6
(A) _ _ _ 0 (6 numbers)
_ _ _ 2 (4 numbers)
_ _ _ 4 (4 numbers)
(B) _ _ _ 0 (6 numbers)
_ _ _ 2 (4 numbers)
_ _ _ 4 (4 numbers)
_ _ _ 6 (4 numbers)
(C) 2, 4, 3, 6 (18 numbers, with even digit in the units place)
There are a total of 50 numbers.