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?
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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