CAT 2017 Slot 2 QA Q30 Permutations & Probability

Question 30 of the Quantitative Ability (QA) section, CAT 2017 Slot 2, with CAT's official answer.

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? [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 50 Permutations & Probability TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.