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Quantitative Aptitude

Lower Limit

The digits ...

Question

The digits $1, 2, 3, 4, 5, 6, 7, 8$ and $9$ are written in random order to form a nine-digit number. The probability that the number is divisible by $4$ , is?

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Solution

For number to be divisible by 4 last two digits must be divisible by 4
So favourable choices of last 4 digits are
12,16,24,28,32,36,48,52,56,64,68,72,76,84,92,96=16
Total formed favourable number=167!
Total numbers formed=9!
Probability=167!/9!=2/9

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