Solved Examples : Number Systems for CAT and other MBA Exams.

In the previous post, we asked a few questions to help us understand the various concepts in number systems by examples.

Here are Video Solutions to all these problems :).

1. What happens when you multiply 3 even numbers? 2 even numbers and an odd number? 2 odd numbers and an even number? and 3 odd numbers?
2. What happens when you multiply 'N' even numbers? and 'N' odd numbers
3. Can product of 4 consecutive numbers be Odd?

The solution to all these 3 problems are explained in the video below.

We then asked the question:  Whats the smallest number should be added to 156789 to make it divisible by 11?

To solve this problem, we need to understand divisibility tests by 11. This and the solution to the problem is explained in the video below.




Our Next question was: Whats the smallest number that should be added to 677 to make it divisible by 4, 5, and 11?

To solve this, its important to understand concepts of LCM. The question is solved with concepts below.





Our Next question was related to power cycles: What is the units digit of 729⁹⁹?
Detailed solution with basic power cycles concept is below.





Our Last question was in advanced Power cycle: What will be the last 2 digits when 25⁶²⁵ is multiplied by 3⁷⁵?

Concept explanation with detailed solution is given below.






Do let us know what you think about these solutions.
We will be back with more a more detailed Number Systems Lesson in the next week.

In other news: TCS will be the official test partner for CAT the next 5 years. This was announced a few days back.

Number Systems for CAT and Other MBA Exams.

Number systems is an important topic for CAT and all other MBA Exams. The various topics under Number systems include :

1. Classification of Numbers : Natural numbers, Whole numbers, Fractions, Real Numbers, Complex  numbers etc.
2. Rules on Number Operations : For eg, sum of 2 odd numbers is even etc. 
3. Divisibility Rules.
4. Properties of Prime and Composite numbers, factorisation.
5. Power Cycle of Numbers

Today we will start by asking questions for you to ponder over, and answer each of them in the next set of blog posts with detailed video concepts.

1. What happens when you multiply 3 even numbers? 2 even numbers and an odd number? 2 odd numbers and an even number? and 3 odd numbers?
2. What happens when you multiply 'N' even numbers? and 'N' odd numbers
3. Can product of 4 consecutive numbers be Odd?
4. Whats the smallest number should be added to 156789 to make it divisible by 11?
5. Whats the smallest number that should be added to 677 to make it divisible by 4, 5, and 11? 
6. What is the units digit of 729⁹⁹? 
7. What will be the last 2 digits when 25⁶²⁵ is multiplied by 3⁷⁵?

 Through these problems, we hope to cover the complete Number systems concepts, and help you prepare better for CAT and other leading MBA Exams.

CAT 2014: Getting Started

With less than 6 months to go for CAT, Oliveboard will be starting its concept blog today.

What to Expect:


1. Each topic with basic concepts.
2. Worked out examples for these topics.
3. Exercises
4. Video solutions to selected questions.


We are sure this will help you ace CAT 2014 and other MBA exams!

Register at Oliveboard for more.

Have a doubt? Leave a comment and we will get back to you at the earliest. Or you can email us at : support [at] oliveboard [dot] in