CAT Quantitative Aptitude Questions | CAT Number Systems - Remainders

CAT Questions | Number Theory | Same Remainder CAT Questions

The question is from CAT Number Theory - Remainders. Two large numbers leave same remainder when divided by a three digit number. We need to find out the three digit number. A range of CAT questions can be asked based on Remainders. When we divide 24 pigeons into 5 groups, 4 are left out or remain. This is the remainder. When there is a question based on this idea in the exam, we have a CAT among the pigeons.

Question 13: The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What is that 3 digit number?

1. 206
2. 256
3. 274
4. 189

Best CAT Coaching in Chennai

Crash course - Early Bird discount Starts Sat, June 29th, 2019

Method of solving this CAT Question from Number Theory - Remainders: Remember! The difference between the numbers too leave the same remainder!

Let N be the 3 digit number.
Let R be the remainder.
So, 573921 – R and 575713 – R will be divisible by N
This means the difference between them is also divisible by N.

Difference = (575713 – R – 573921 + R) is divisible by N
Or 1792 divisible by N
N can be 256 from the answer choices!

The question is "What is that 3 digit number?"

Choice B is the correct answer.

Signup Now!

CAT Coaching in ChennaiEnroll at 29000/-

Next Weekend Batch Starts Sat, June 29th, 2019

Best CAT Coaching in ChennaiEarly Bird discount of 7000

Personalised attention, Small batch sizes.

CAT Online Coaching | CAT Number Systems questions Videos On YouTube

Other useful sources for Number System Questions | Number Theory Remainders Sample Questions

Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

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