The question is about perfect square factors. A number is given as multiplication of prime factors. We need to find out the number of perfect square 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 3: How many factors of 25 * 36 * 52 are perfect squares?
Any factor of this number should be of the form 2a * 3b * 5c.
For the factor to be a perfect square a,b,c have to be even.
a can take values 0, 2, 4.
b can take values 0, 2, 4, 6
and c can take values 0, 2
Total number of perfect squares = 3 * 4 * 2 = 24
The question is "How many factors of 25 * 36 * 52 are perfect squares?"
Choice B is the correct answer.
CAT® (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078