This is 2IIM's database of CAT Level Questions. Our CAT Preparation Material is created by a team that takes the CAT every year. Many of these questions have been inspired by past year-CAT questions. Questions come with detailed explanations, with video solutions from Rajesh, our Director, and slideshows. Note: These are not mere exercise problems. These are a set of must solve questions that are pegged at the difficulty of the CAT. Solving them can be very valuable, both for exposure to different question patterns, and for learning different concepts from the explanations. The best part of it all: It's completely free! You are welcome to solve all our questions, and view all explanations totally free of cost. Get cracking with your CAT Preparation, and all the best for your CAT .
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HCF and LCM
Factors and multiples form the basis of number systems. HCF and LCM can be fun if learnt the right way.
There are infinitely many numbers that have only two factors. The most elegant proof for this dates back to the 8th century.
6 goes in 50 8 times and leaves behind 2. Might we state this as 6 goes in 50 nine times and leaves behind -4?
This idea is so good that it comes with an exclamation mark. N! holds marvels that you might not have noticed before.
The remainder when we divide a number by 100 is nothing but the last two digits of the number.
Ratios, Mixtures; Averages
Sugar. Spice and Everything Nice. How much of this and how much of that? Guess the extra ingredient?
Percents, Profits, SICI
Beautiful questions from three allied topics. Most sportsmen will tell you - If you know the percentage play, you can profit well from it.
Speed, Time, Distance; Races
In a hurry? Have a go at these problems before you leave!! Maybe we could help you calculate how late you are going to be ….
Logarithms and Exponents
With every extra hour you log in for this topic, it becomes exponentially simpler. Keep your bases covered by mastering the basics.
Pipes, Cisterns; Work, Time
You have our assurances that it’s certainly not going to be as messy as the work that plumbers undertake!!
Set Theory (especially consructing venn diagrams) is a frequently tested topic.Make sure you know the basics
One needs to have a clear understanding of circles, squares and equilateral triangles. Lets see how good you are!
For the purists, it is geometry without romance, for the pragmatists it is Geometry with expanded scope.
Practice these and realize your immeasurable worth!! Rule the roost in the science of rulers and measurements.
When you look at your reflection through a mirror, the image is at a distance equal to the distance between mirror and you.
Linear & Quadratic
Modulus of a number cannot be negative. A simple idea that somehow escapes our mind.
Mathematics can never function as well as it does now without the theory of functions.
Having a good foundation in this subject will make Coordinate Geometry, Functions, and Algebra a lot easier.
Polynomials is a simple topic which involves a lot of basic ideas. Make sure you know the basics.
All things must progress, and progression is always a steady incline. Unless you have a negative common difference!!
There are many ways to skin the CAT. To skin the CAT, one needs to be good at finding how many ways there are.
DS is a wonderful question type that will force you to think of ideas slightly differently; learning this well can bring in extraordinary clarity in any topic.
Let’s play the big CAT’s imitation game. Decode and foil the grammar nazi’s enigmatic code.
Questions from Sentence Correction.
Given 4 sentences, you will be asked to choose the one that does not fit in.
Where you get to choose how the movie ends; or how it should end!
Questions from Reading Comprehension that test your reading ability.
It’s time to read between the sentences… think between them rather!
Word Usage questions often appear in the CAT. Questions from the topic for Practice.
Questions from Para Summary.
Text Completion questions often feature in the CAT. Take a look at these for practice.
DI and LR
When it comes to DI prep, set the bar high. You should be the best at this, bar none.
An extension to the most beautiful word in all of math? - You should definitely have a slice of this!!
Multiple Graphs questions often feature in the CAT.Questions from this topic for practice.
Word Problems questions often feature in the CAT.Questions from this topic for practice.
Line Graphs questions often feature in the CAT.Questions from this topic for practice.
Sequencing questions often feature in the CAT.Questions from this topic for practice.
If you remove the two squares on opposite ends of a diagonal on a chess board, is it impossible to fill the remaining 62 squares with dominoes?
There is only one natural number whose successor is a perfect cube and predecessor is a perfect square. Find it.
350 million Rubiks cubes have been sold thus far. That’s staggering. Buy one and have a good look at it.
Did you know that number of spirals in the heads of Sunflowers is either 21 and 34, or 34 and 55.Do you know what is special about these numbers?