JEE Main 2022 Mathematics 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
Answer: 30
Solution
The number starts with 1 or 2, and for divisibility by 4 the last two digits must form a multiple of 4 (with distinct digits from 1–6): 12, 16, 24, 32, 36, 52, 56, 64. For each ending the first digit must be 1 or 2 and the remaining digit is
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