The question is about Product of digits. Given the product of digits of a number, we need to find out the number of possible values satisfying the condition. Dealing with digits and base system of a number is a vital component in CAT Number Theory. A range of CAT questions can be asked based on this simple concept in the CAT Exam.

Question 1: How many numbers with distinct digits are possible product of whose digits is 28?

- 6
- 4
- 8
- 12

8

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Two digit numbers; The two digits can be 4 and 7: Two possibilities 47 and 74.

Three-digit numbers: The three digits can be 1, 4 and 7: 3! Or 6 possibilities.

We cannot have three digits as (2, 2, 7) as the digits have to be distinct.

We cannot have numbers with 4 digits or more without repeating the digits.

So, there are totally 8 numbers.

The question is **"How many numbers with distinct digits are possible product of whose digits is 28?"**

Choice C is the correct answer.

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