CAT Questions – number system (digits) with VIDEO Solution

QUESTION 1
Find the sum of digits of smallest number which is divisible by all single digit prime numbers but no digit of the number is prime.
Answer: 12
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 2
What is the sum of all the digits of the smallest three digit number \(N\) such that all the digits of \(3 \times N\) are even.
Answer: 8
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 3
Let ABCDE be a five digit number where A, B, C, D, and E are the digits. If $ABCDE\times 9=1AAA0E$ , what is the value of A+B+C+D+E?
  1. 12
  2. 15
  3. 18
  4. 21
Option: 2
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 4
Let a be a number (in base 10) which has m number of digits and ${{a}^{3}}$ has n number of digits. Which of the following CANNOT be the value of m+n?
  1. 3000
  2. 3001
  3. 3002
  4. 3003
Option: 2
Video Explanation
CAT 2022 Online Course @ INR 9999 only

QUESTION 5
There are positive integers with leading digits being 6 and upon removing this leading digit, the resulting integer is $\cfrac{1}{{25}}$ of the original value. Determine the least of such positive integers.
Answer: 625
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