# CAT Questions – Numbers (factorization) with VIDEO Solutions

QUESTION 1
If all the factors of 240 are written in increasing order, the factor which occupies the 16th position is?
1. 120
2. 48
3. 60
4. 80
Option: 2
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 2
abc is the smallest three digit positive integer with six odd factors and twelve even factors (where a, b, and c are digits). What is the value of b?
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 3
How many factors of 840 are multiples of 5 but not of 8?
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 4
How many positive perfect square less than ${10^6}$ are multiples of 24?
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 5
A certain integer N has exactly eight factors, counting itself and 1. The numbers 35 and 77 are two of the factors. What is the sum of the digits of N?
1. 9
2. 10
3. 16
4. 18
Option: 3
Video Explanation
CAT 2022 Online Course @ INR 9999 only

### CAT Number System Questions with Video Solutions

 Bodhee Prep's YouTube channel CAT Prep Whatsapp Group CAT Prep Telegram Group
X 