JEE Main 2022 Mathematics question

The total number of four digit numbers such that each of first three digits is divisible by the last digit, is equal to .

Answer: 1086

Solution

Count by the last digit d : d = 1: the first digit has 9 choices and the next two 10 each, i.e. 900. d = 2: . d = 3: . d = 4: $2

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Question ID VK-035253