A CAT Number theory question that appears in the Quantitative Aptitude section of the CAT Exam broadly tests an aspirant on the concepts - Factors, Factorials, HCF and LCM, base system & remainders of the above mentioned concepts. In CAT Exam, one can generally expect to get 1 question from CAT Number Systems involving Factors.CAT Quantitiative Aptitude questions from Factors involve ideas like Sum of Factors, Odd factors, Even Factors and so on. CAT Number Systems is an important topic with lots of weightage in the CAT Exam. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
The sum of the factors of a number is 124. What is the number?
How many factors of 1080 are perfect squares?
How many factors of 2^{5} * 3^{6} * 5^{2} are perfect squares?
How many factors of 2^{4} * 5^{3} * 7^{4} are odd numbers?
How many factors of the number 2^{8} * 3^{6} * 5^{4} * 10^{5} are multiples of 120?
Number N = 2^{6} * 5^{5} * 7^{6} * 10^{7}; how many factors of N are even numbers?
Numbers A, B, C and D have 16, 28, 30 and 27 factors. Which of these could be a perfect cube?
If a three digit number ‘abc’ has 3 factors, how many factors does the 6-digit number ‘abcabc’ have?
How many numbers are there less than 100 that cannot be written as a multiple of a perfect square greater than 1?
Find the smallest number that has exactly 18 factors.
A number N^{2} has 15 factors. How many factors can N have?
If a three digit number ‘abc’ has 2 factors (where a, b, c are digits), how many factors does the 6-digit number ‘abcabc’ have?
What is the smallest number that has exactly 12 factors?
IPMAT Rohtak Sample Paper Mock
IPMAT Indore Sample Paper Mock
Please note that the explanation button will take you to the IPMAT solution page.
You have been asked to select a positive integer N which is less than 1000 , such that it is either a multiple of 4, or a multiple of 6, or an odd multiple of 9. The number of such numbers is
Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6,7 and 9?
The Questions that follow, are from actual CAT papers. If you wish to take them separately or plan to solve actual CAT papers at a later point in time, It would be a good idea to stop here.
The number of integers x such that 0.25 < 2^{x} < 200, and 2^{x} + 2 is perfectly divisible by either 3 or 4, is [TITA]
If N and x are positive integers such that N^{N} = 2^{160} and N^{2} + 2^{N} is an integral multiple of 2^{x}, then the largest possible x is (TITA)
How many factors of 2^{4} × 3^{5} × 10^{4} are perfect squares which are greater than 1? [TITA]
Online Classroom Batches Starting Now!
Attend a Demo Class
Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.
Privacy Policy | Terms & Conditions
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
Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com