NDA 2017 Maths · Mathematics · Permutations and Combinations · hard

How many three-digit numbers with all digits distinct are divisible by 5?

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Answer: (D) $136$

If the units digit is 0:

9\times8=72

choices for the first two digits. If it is 5: the hundreds digit is non-zero and not 5 (8 ways) and the tens digit is any of the 8 remaining:

8\times8=64

. Total

72+64=136

Original question written in the NDA 2017 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake