CAT Quantitative Aptitude Questions | CAT Number Theory - Digits questions

CAT Questions | Number Theory | Test of Divisibility

The question is about Test of Divisibility. We need to find out the 7 digit numbers divisible by 43 and then which is the minimum one among them. 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 10: Which among the following is the smallest 7 digit number that is exactly divisible by 43?

  1. 1000048
  2. 1000008
  3. 1000006
  4. 1000002

Best CAT Online Coaching
Try upto 40 hours for free
Learn from the best!


2IIM : Best Online CAT Coaching.


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2021
Online Batches Available Now!


Explanatory Answer

Method of solving this CAT Question from Number Theory - Digits: How we would find out a 7 digit multiple of a two digit prime number?

The smallest 7 digit number is 1000000
CAT : Number theory - Digits
43 – 35 = 8
So adding 8 to 1000000 makes it completely divisible by 43.
Answer = 1000008

The question is "Which among the following is the smallest 7 digit number that is exactly divisible by 43?"

Hence the answer is 1000008

Choice B is the correct answer.

 


CAT Online Coaching | CAT Number Systems questions Videos On YouTube


Other useful sources for Number System Questions | Number Theory HCF and LCM 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,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

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