CAT Quantitative Aptitude Questions | CAT Number Systems - Factors

CAT Questions | Number Theory | Perfect squares

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?

  1. 18
  2. 24
  3. 36
  4. 8

Rs. 2500 off on 2IIM Ultimate DI LR Course for CAT 2019. Offer valid till March 24th.


Signup to sample the Best CAT Online Coaching


Best CAT Coaching in Chennai


Starts Sat, Mar 23, 2019


Explanatory Answer

Method of solving this CAT Question from Number Theory - Factors: Given a prime factorization, how do we find how many factors of the number 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?"

Hence the answer is 24.

Choice B is the correct answer.

 

Online CAT Coaching
Try it free!

Register in 2 easy steps and start learning in 30 seconds!

★ Sign up for Free

Already have an Account?

★ Login to Continue

CAT Coaching in Chennai

Next Weekend Batch Starts Sat, Mar 23rd, 2019

★ CAT Coaching Info

Best CAT Coaching in Chennai

Sign up for a Free Demo of our CAT Coaching in Chennai

★ Schedule Demo


CAT Online Coaching | CAT Number Systems questions Videos On YouTube


Other useful sources for Number System Questions | Number Theory Factors Sample Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com