It is definitely a delightful achievement for a software engineer to crack the TCS Digital examination and be a part of the reputed organization of Tata Consultancy Services (TCS). We want to share with you such a success story from Guwahati, one of the several successful ventures we came across.

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## Average Aptitude Problems

Questions on average can be interesting in the TCS Digital exam. For example, we may be given the temperature of Tuesday, Wednesday, and Thursday. Then we may be given the average temperature of Wednesday, Thursday and Friday. Now if we are given the temperature of Friday, we have to find the temperature of Tuesday. In this type of problem we have to consider a variable. The variable is usually the value that we have to find. But we have to make sure that we don’t use too many variables. Using too many variables will unnecessarily complicate the problem. I knew I had to solve problems fast during the TCS Digital exam. So I also knew that I should not frame equations more than required. How can I solve problems quickly during the TCS Digital exam? I knew I had to practice a lot. So I kept on practicing with various different types of scenarios I could lay my hands on. Instead of days this can be any other kind of real life scenario. For example, it can be a sport game or the marks of students in a class. Effectively solving such problems is crucial for this type of competitive exam for TCS. They want to evaluate who is the best among hundreds of thousands who apply every year. I wanted to qualify as a candidate who has been able to solve many of the problems with a good score. I paid proper attention to practicing and having an all around skill set.

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## Number System Aptitude

Questions on the number system are very common in the TCS Digital exam. For example, we may be provided with the difference of two numbers and the product of two numbers. Then the question might ask us to find the sum of the squares of the two numbers. In such types of problems, we will be required to consider variables. Variables will help us to form the equations using the data given to us. Often we will see that the equations are getting longer than we want them to be. It is important not to get scared in such cases as in many scenarios we will find gradually that the variables cancel out each other at the end. Such types of questions are common in algebra. It is important to be familiar to handle various types of equations comfortably. I knew I would not get much time during the TCS Digital exam and so I tried to improve my speed a lot. I took help from my math teachers and my mentors who helped me learn new tips and tricks so that I can calculate faster. Many calculations that I thought would take a long time thus became a few steps only. It was a very pleasant experience when I found that I can solve the same problems in much less time then I would have been able to do it a few months earlier. I asked myself what would happen if the same type of problem came in a more complex way with more numbers and more complex equations.

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## Arithmetic Factorial Problems

Questions on factorial are common in the TCS Digital exam. For example, if the factorial value of a number has a given number of zeros, what is the maximum and minimum value of that number? Such a type of question will require us to be comfortable with the logics of factorial and the divisibility rules. In such types of problems, it also helps to go through the options and see which one is the closest to the one we think it should be. I taught myself the elimination technique for such types of problems. The elimination techniques work in such cases where we are doubtful which answer is correct. For example, if after applying our logic we are down to two options which are very close to each other, we will be able to eliminate one of the options by applying such elimination techniques. But can such a technique be applied in every situation? Most of the time no. So it is important to understand in what situations we can apply elimination techniques and in which situations we cannot apply such techniques. Interviewers like to ask candidates these types of questions because they want to test them, how deep their knowledge of the number system goes. It can be easy to be an expert in one topic of the number system, but difficult to be an expert in another. It is important to be able to relate all the topics.

## Ratio and Proportion Questions

In ratio and proportion, it is often important to be able to apply the rules of divisibility as well.For example, in a box, if there are two types of products, We may be asked to choose in what ratios objects may be present and in what ratios objects can never be present. The rules of divisibility again come into play here. From the options provided to us, we will have to see by considering a variable or without considering a variable, if the total number is divisible by the sum of the values given in the ratio. Definitely we will find a ratio which will not be able to divide the total number. Using such techniques of divisibility, we will be able to find the option which is our answer. The answer may not be easily identifiable all the time. Many of the time the ratios may be so long and with so many values that it will be difficult to answer the question instantly. Even with a lot of practice, such types of questions may seem to be difficult. It is important that candidates do not get stuck during the TCS Digital exam with such types of questions for a long time. Time management is extremely important during the exam. It is advisable that candidates practice enough to be able to attempt all the questions instead of focusing on attempting and answering a few questions correctly. A lot of practice before the actual exam does help me for time management practices, which is crucial.

## Arithmetic Number Factors

In the number system, we may be asked questions on the factors of a number. For example, if we arrange the factors of a number in ascending order, what will be the factor in a particular position? In such types of problems it is important that we find all the factors of the number, and then arrange a few of them at least to get a clear idea of what the factors and the order of the factors look like. Often the list of all the factors will be extremely long. It may not be realistically possible to reach the particular position of the list, which is being asked in the question. So in such cases we have to identify a pattern. Pattern recognition is extremely important for problems with the number system. For such cases where the logic is very long, pattern recognition will help us to solve more complex problems in very little time. I wanted to be an expert in this type of problems and so I kept on practicing a lot with various combinations and permutations of such types of logics. Instead of a list of factors, the question can be focused on finding the average of a few different factors, or finding the highest factor, or finding the lowest factor that has some special attributes. The more such logical additions to the question, the more complex it becomes. I wanted to be ready for all the variations of such types of logical questions.

## TCS Mensuration Aptitude

Questions on mensuration can be on various different types and related to real life situations. I came across several problems where a shape is formed of smaller pieces of that same shape. For example, a cube may be made of a number of small cubes. Now, if I paint one side of the large cube, how many small cubes remain completely unpainted? Or the question may be like if I paint all the surfaces of the large cube, then how many small cubes in the center of the cube are unpainted completely? Or the question can come like this that if I paint all the surfaces of the large cube, then how many small cubes have at least one surface painted? The question can be further modified to ask how many small cubes have at least two surfaces painted or at least three surfaces painted? It is important to be able to solve such problems in a limited amount of time as time is a challenge in the TCS Digital exam. I challenged myself with various different types of scenarios regarding this type of logic. I wanted to score full marks in all the mensuration and geometry related problems. I made it my priority so that I do not forget any of the formulas that are required to solve such types of problems. I wanted to be extremely comfortable in applying formulas of area, volume, perimeter of different shapes instantly. I realized I needed to practice a lot to be be the best version of myself.

## Time and Distance Question

There can be various types of problems on the real life scenarios and number system. For example, a train may be travelling and it drops a certain fraction of passengers in one station and picks up a given value of passengers in that station. Then in the next station it drops a certain fraction of this new total of passengers and again picks up a given value of passengers in the second station. Now, the train arrives at the third station. The question tells us that the total number of passengers is a given value. To find what was the total number of passengers in the train in the beginning? We can see in this type of questions that variables need to be considered. If we consider the initial number of passengers in the train as a variable, then we can iteratively apply these logics and frame the equations. I knew that the problems of such kind can be made more complex if the interviewer wanted it to. So whenever I encountered such problems, I made a point to add some logic of my own and make the question harder. I wanted to make sure that I am able to solve these problems in the same amount of time to be ready for the exam. The TCS Digital exam is extremely competitive and I wanted to be ready for it. I wanted to be among the top few who cracked the exam.

## Financial Ratio and Proportion

It is important to prepare for questions on ratio and proportion as well. For example, a sum of money may be distributed among three people. One person may get a fraction of the total of the other two persons. Another person may get a given fraction of what the other two person got together. Now we have to find how much money one person got. To choose the answer from the options that will be given to us in the exam. Such types of problems can seem overwhelming if we do not practice enough before the main exam. We need to be extremely comfortable to solve such types of problems. The TCS interviewer loves to give these types of problems to evaluate the aptitude of the candidates. I wanted to be the best version of myself and I practiced a lot of these types of problems. I re imagined various different scenarios in which this type of question can be asked to me. I tried to solve all these problems in a very limited amount of time. And wanted to simulate the actual exam. Increasing my speed challenged me a lot initially, but I kept on pushing myself so that I can solve such types of problems very easily. The fractions can get even harder when numbers are given for the numerator and denominator, which are extremely large and cannot be easily divided by common numbers. The problems can also get harder if some of the numbers are prime to each other.

## Ratio of Income Problems

In ratio and proportion there can be another type of problem where the ratio of income of two persons are given, and the ratio of their expenditures is also given. Now in the question we may be mentioned that if one of them saves this much amount of money, then what is the income of one particular person? The question can also mention how much amount of money each person saves and then ask us to find what is the original income of all the persons mentioned in the question. I knew it will be possible to consider variables in this type of question. And based on my experience, I also knew that many of these variables will get cancelled out towards the end of the question. But I was careful enough not to make the equations or the variables too much complex. Adding excessive complexity of our own while solving these types of questions will only increase the number of minutes taken to find the answer. I tried to solve various different types of such scenarios by adding more persons to the question. The more the number of persons and the more complex the fractions, the tougher the question became. I made it a point to achieve the result in a limited amount of time. Solving the question with such types of complex fractions was often difficult and not as easy as the question might have been with easier fractions. But I knew I had to achieve the results in the given time during the TCS Digital exam.

## Time and Work Efficiency Problem

For the TCS Digital exam, another important topic is related to time and work. For example, let’s say there are three people. One person can do the work in a fraction of the time of the second person. The second person can do the work in a different fraction of time than the third person. Now the question says that they have made a total profit of a particular amount. How much share of the profit does the third person get? The logic that needs to be applied in such types of questions is that the profit is usually shared in the ratio of the work the persons do individually. So here we have to find the ratio of the work being done by all the three persons, and then accordingly find out the profit share of each person. The total profit value is given, so on comparing the equation with this given value will be able to find the share of profit of each. The questions that are given in this type of problems often use complex fractions. The questions get more complex if the fractions use odd and prime numbers that cannot be easily reduced to an easy and simple value of a fraction. I made sure I try to solve more complex such problems with more people where the real life scenarios presented harder fractions to solve. If we add interest to such types of problems where it is compounding, the problems can get more tougher.

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