# 2IIM's Guide to Preparing for the CAT

Free CAT Level Questions

## 600 Questions ; 101 Video Solutions and 41 Topic Wise Tests

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 .

Kindly note that, while the Questionbank is free for anyone who is preparing for the CAT, we ask that you refrain from reproducing any question or any part of our content in any form on Websites not affiliated with 2IIM. If you copy the content from the 2IIM Questionbank, we will fight with all avenues possible. Read our copyright violation policy here and YouTube retraction policy here.

### HCF and LCM

Factors and multiples form the basis of number systems. HCF and LCM can be fun if learnt the right way.

### Factors

There are infinitely many numbers that have only two factors. The most elegant proof for this dates back to the 8th century.

### Remainders

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?

### Factorials

This idea is so good that it comes with an exclamation mark. N! holds marvels that you might not have noticed before.

### Digits

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

Set Theory (especially consructing venn diagrams) is a frequently tested topic.Make sure you know the basics

### Geometry

One needs to have a clear understanding of circles, squares and equilateral triangles. Lets see how good you are!

### Co-Geo

For the purists, it is geometry without romance, for the pragmatists it is Geometry with expanded scope.

### Mensuration

Practice these and realize your immeasurable worth!! Rule the roost in the science of rulers and measurements.

### Trigonometry

When you look at your reflection through a mirror, the image is at a distance equal to the distance between mirror and you.

Modulus of a number cannot be negative. A simple idea that somehow escapes our mind.

### Functions

Mathematics can never function as well as it does now without the theory of functions.

### Inequalities

Having a good foundation in this subject will make Coordinate Geometry, Functions, and Algebra a lot easier.

### Polynomials

Polynomials is a simple topic which involves a lot of basic ideas. Make sure you know the basics.

### Progressions

All things must progress, and progression is always a steady incline. Unless you have a negative common difference!!

### Combinatorics

There are many ways to skin the CAT. To skin the CAT, one needs to be good at finding how many ways there are.

### Data Sufficiency

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.

### Para Jumble

Let’s play the big CAT’s imitation game. Decode and foil the grammar nazi’s enigmatic code.

### Sentence Correction

Questions from Sentence Correction.

### Sentence Elimination

Given 4 sentences, you will be asked to choose the one that does not fit in.

### Paragraph Completion

Where you get to choose how the movie ends; or how it should end!

### Critical Reasoning

It’s time to read between the sentences… think between them rather!

### Word Usage

Word Usage questions often appear in the CAT. Questions from the topic for Practice.

### Para Summary

Questions from Para Summary.

### Text Completion

Text Completion questions often feature in the CAT. Take a look at these for practice.

### Bar Graphs

When it comes to DI prep, set the bar high. You should be the best at this, bar none.

### Pie Charts

An extension to the most beautiful word in all of math? - You should definitely have a slice of this!!

### Multiple Graphs

Multiple Graphs questions often feature in the CAT.Questions from this topic for practice.

### Word Problems

Word Problems questions often feature in the CAT.Questions from this topic for practice.

### Line Graphs

Line Graphs questions often feature in the CAT.Questions from this topic for practice.

### Sequencing

Sequencing questions often feature in the CAT.Questions from this topic for practice.

### Grid Puzzles

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?

### Math Puzzles

There is only one natural number whose successor is a perfect cube and predecessor is a perfect square. Find it.

### Visualization

350 million Rubiks cubes have been sold thus far. That’s staggering. Buy one and have a good look at it.

### Other Patterns

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?