CAT Quantitative Ability Questions | CAT Permutation, Combination and Probability questions

CAT/1998

Question . 60

How many five digit numbers can be formed using 2,3,8,7,5 exactly once such that the number is divisible by 125?

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Permutation, Combination and Probability question

(c) Only those numbers which last 3 digits are divisible by 125 are divisible by 125.

So, those contain 375 & 875 at the end and the remaining two digits at the unit and tenth places can be arranged in two different ways.

Therefore, 4 such number can be formed