CAT Quantitative Aptitude Questions | CAT Number Systems - Remainders

CAT Questions | Number Theory | Remainders - Sum of Digits

The question is from CAT Number Theory Remainders. A number is given in the form of(xa + ya). We need to find out the remainder when it is divided by b.When does an even number become an odd number? When it is divided by 2 (but not always). Think about this.

Question 5: What is the remainder when we divide 390 + 590 by 34?

  1. 0
  2. 17
  3. 33
  4. 1

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 2022
Limited Seats Available - Register Now!


Explanatory Answer

Method of solving this CAT Question from Number Theory - Remainders: When does an even number become an odd number? When it is divided by 2 (but not always). Think about this.

390 + 590 can be written as (32)45 + (52)45
= (9)45 + (25)45

Any number of the form an + bn is a multiple of (a + b) whenever n is odd.

So (9)45 + (25)45 is a multiple of 9 + 25 = 34

So, the remainder when we divide (32)45 + (52)45 by 34 is equal to 0.

The question is "What is the remainder when we divide 390 + 590 by 34?"

Hence the answer is "0".

Choice A is the correct answer.

 


CAT Online Coaching | CAT Number Systems questions Videos On YouTube


Other useful sources for Number System Questions | Number Theory Remainders 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