Problems on Numbers is one of the most common topics in which questions are often asked in SAT exams. In competitive exams, we will have problems in this topic which would be based on natural numbers, real numbers, whole numbers, and integers.
Students who are preparing to improve their aptitude skills and those who are preparing for this type of competitive test must prepare this topic in order to have better score. Because, today there is no competitive exam without the questions from the topic problems on numbers. Whether a person is going to write placement exam to get placed or a students is going to write a competitive exam in order to get admission in university, they must be prepared to solve problems with numbers. This is the reason for why people must study this topic.
As we mentioned in the above paragraph, a person who wants to get placed in a company and a students who wants to get admission in university for higher studies must write competitive exams like placement test and entrance exam. To meet the above requirement, it is very important to score more marks in the above mentioned competitive exams. To score more marks, they have to prepare this topic. Preparing this topic would definitely improve their marks in the above exams. Preparing this topic is not difficult task. We are just going to remember the stuff that we have already learned in our lower classes
Students have to learn few basic operations in this topic problems on numbers and some additional tricks. Already we are much clear with the four basic operations which we often use in math. They are addition, subtraction, multiplication and division. Even though we are much clear with these four basic operations, we have to be knowing some more stuff to do the problems which are being asked from this topic in competitive exams. The stuff which I have mentioned above is nothing but the tricks and shortcuts which need to solve the problems in a very short time.
Short cut is nothing but the easiest way to solve the problems on numbers in a very short time. In competitive exams, we will have very limited time to solve each problem. Then only we will be able to attend all the questions. If we do problems in competitive exams in perfect manner with all the steps, it will definitely take much time and we may not able to attend the other questions. So we need some other way in which the problems can be solved in a very short time. The way we need to solve the problem quickly is called as shortcut.
Let us consider the problem, “Find the numbers of numbers which are divisible by 5 in the first 1000 natural numbers”. To answer this questions, if we check each number for divisibility of 5, it very difficult to check for the first 1000 natural numbers. Some people would suggest the short cut “ Arithmetic Progression” to find the answer like 5,10,15,20…………1000. But there is a another shortcut through which we can easily get the answer in seconds.
Short cut==> Number of numbers divisible by = 1000/5 = 200.
Hence the number of numbers which are divisible by 5 in first thousand natural numbers is 200.
Here, we are going to have some problems with numbers . You can check your answer online and see step by step solution.
1. If a number when divided by 296 gives a remainder 75, find the remainder when 37 divides the same number.