The question is about different Perfect Squares. Format of a perfect square is given, we need to do an algebraic action using the format. Dealing with digits and base system of a number is a vital component in CAT Number Systems. A range of CAT questions can be asked based on this simple concept in the CAT Exam.
Question 3: A 4-digit number of the form aabb is a perfect square. What is the value of a - b?
A number of the form aabb has to be a multiple of 11.
So, it is the square of either 11 or 22 or 33 or...so on up to 99.
882 = 7744.
This is the only solution possible. Most of these trial and error questions need to be narrowed down a little bit before we can look for the solution. That narrowing down is critical. In this case, we should look for multiples of 11.
The question is "A 4-digit number of the form aabb is a perfect square. What is the value of a - b?"
Choice A 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,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093