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QJEEM22Ma3767: JEE Main 2022 Mathematics - Class 11 JEEM22Ma3767 Solution: The total number of four digit numbers such that each of first…

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

Step-by-Step Verified Solution

If unit digit is 1 then →9×\rightarrow 9 \times s 10×10=90010 \times 10=900 numbers

If unit digit is 2 then →4×5×5=100\rightarrow 4 \times 5 \times 5=100 numbers

If unit digit is 3 then →3×4×4=48\rightarrow 3 \times 4 \times 4=48 numbers

If unit digit is 4 then →2×3×3=18\rightarrow 2 \times 3 \times 3=18 numbers

If unit digit is 5 then →1×2×2=4\rightarrow 1 \times 2 \times 2=4 numbers

If unit digit is 6 then →1×2×2=4\rightarrow 1 \times 2 \times 2=4 numbers

For 7,8,9→4+4+4=127,8,9 \rightarrow 4+4+4=12 Numbers

Total =1086=1086 Numbers

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