The question is about Odd Factors. A number is given as multiplication of prime factors. We need to find out the number of odd factors of that number. Dealing with factors of a number is a vital component in CAT Number Systems: Factors. A range of CAT questions can be asked based on this simple concept of Factors. CAT exam has always tested the idea of Factors from Number systems. The idea of Factors questions forms an integral part of the CAT syllabus.
Question 4: How many factors of 24 * 53 * 74 are odd numbers?
Any factor of this number should be of the form 2a * 3b * 5c.
For the factor to be an odd number,
a should be 0.
b can take values 0, 1, 2, 3.
and c can take values 0, 1, 2, 3, 4.
Total number of odd factors = 4 * 5 = 20.
The question is "How many factors of 24 * 53 * 74 are odd numbers?"
Choice C is the correct answer.
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