In Number Series reasoning, Series is a sequential order of letters, numbers, or both arranged in such a way that each term in the series is obtained according to some specific rules. These rules can be based on mathematical operations, place of letters in alphabetical order, and so on. In questions related to the number series logical reasoning section, a specified sequence or order of letters, numbers or a combination of both will be given in which one of terms such as letter/number/letter and number of the series will be missing either at the end of the series or in between the series. In logical reasoning number series, candidates need to identify the pattern involved in the formation of series and accordingly find the missing term to complete the number series.

To define what is a Number Series, it refers to a sequence of numbers following some pattern. Candidates need to find the missing or wrong number in the provided number series. There may be some questions where one of the terms in the given series will be incorrect, and candidates need to find out the term of the series by identifying the pattern involved in the formation of the series.


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There is no set pattern and each question in number series reasoning may follow a different type of pattern or sequential arrangement of letters or digits, which candidates need to detect using their common sense and reasoning ability. On the basis of various types of questions that are asked in various competitive examinations, we have classified the number series reasoning section into several types, which are given below.

We hope you found this article regarding the Number Series reasoning section was informative and helpful, and please do not hesitate to contact us for any doubts or queries regarding the same. You can also download the Testbook App, which is absolutely free and start preparing for any government competitive examination by taking the mock tests before the examination to boost your preparation.

Number series reasoning items have been frequently used in educational assessment. This study reviewed the previous literature investigating features relating to item difficulty and developed a new automatic generator for number series reasoning items. Ninety-two items were generated and administered to 466 students. The results showed that the test achieved acceptable reliability. Items requiring two arithmetic operations were of particularly high difficulty. All stimulus features implemented in the automatic item generator proved to be significant predictors of item difficulty, explaining 77% of the total variance. This suggests that the automatic number series reasoning item generator was capable of generating items of considerably predictable difficulty. More importantly, the resulting items covered a wide range of difficulty levels, meeting the particular need for items of high difficulty.

And I do emphasise time, given more than 5 minutes for each question they usually become easy. In many aptitude tests they gives 1 - 1.5 minutes for each question. Those statistics and data questions are fine. They are reasonable. But this number series is just weird and it seems to me the only way to improve is just do so much question and hopefully for most of the pattern that come up you will know the solution immediately and leave time for the 10% hard question. Brute memorisation.

Click on a difficulty level below to start a test. Firstly the easy test consists of 8 easy questions. Next the medium test contains 13 questions of average difficulty. Lastly the hard test contains 21 difficult questions and beware they are known as some of the hardest number sequences on the internet. Can you solve them all? Good luck!

This section of the OLSAT test measures the logical comprehension of the relationship between numbers and numeric groupings, complete number sequences and series as well as the computational abilities in context, to derive at a particular answer. These questions require that students be able to predict outcomes based on their knowledge of mathematics. Quantitative Reasoning consists of number series, numeric inference and number matrix.

Number Series questions assess the ability to understand the pattern in a sequence of numbers or letters and the ability to fill in a missing item in the series. Numeric Inference questions test the ability to understand relationships between numbers and number groupings. Number Matrix questions assess the ability to fill in the missing number in a matrix made up of entirely of numbers. Matrices are 3X3 grids (9 total boxes) which have sequences and patterns that run horizontally and vertically. Each matrix will have a blank square, which will have to be filled in with the correct number to complete the pattern.

In the number series questions, students must examine a sequence of numbers and then determine a pattern that governs those numbers. That pattern is then applied in order to predict what comes next in sequence. Number Series is on levels D-G of the OLSAT, which covers 3rd grade through 12 Grade.

Using computational skills, students need to determine how two or three numbers are related. After they determine this relationship, they then apply this rule to another pair or trio of numbers. Numeric Inference is on levels D-G of the OLSAT, which covers 3rd grade through 12 Grade.

Students examine numbers in a matrix and determine what principle or rule links those numbers. Then, this rule applied to figure out what number should be placed in a given blank. Number Matrix is on levels D-G of the OLSAT, which covers 3rd grade through 12 Grade.

A number series is a sequence of numbers governed by a specific pattern such as AP, GP etc. In banking and insurance exams, such as IBPS PO, SBI PO, SBI Clerk, IBPS Clerk, RRB Assistant, RRB Scale 1, LIC Assistant, LIC AAO, etc. you'll encounter these series, and your task is to identify missing or incorrect numbers within them. These number series questions with solution are intricately crafted to challenge your pattern recognition skills. 


Smartkeeda offers an extensive array of number series practice sets to assist you in improving your ability to recognize these patterns effortlessly. By practicing these sets, you'll develop the skills needed to swiftly identify patterns, ultimately saving time and optimizing your score in banking and insurance exams.


There are roughly six different types of patterns that are often used for number series. By studying the explanations with example exercises of the different patterns, you will recognize the patterns more easily, work faster and make fewer mistakes.

In the sequence, there are typically between four to seven visible numbers, and to find the missing elements the candidate needs to find the specific logical rule or pattern that links the series, and apply that to the missing numbers.

The relationship between terms in an arithmetic number series is based on adding, subtracting, or a combination of both operations. The most basic version of this is 1, 2, 3, 4, 5 __ where the next number would be six because the rule is to add one to the last digit.

An alternating sequence is a single number series made of two independent sub-sequences. This can make finding the rule or pattern complicated, since the numbers are not necessarily related to the terms on either side in the series itself.

The Fibonacci sequence makes the terms related to one another by adding the two previous numbers together. The usual Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21 and so on, but there are no guarantees that the sequence will start at one or even be an ascending series.

The first number and every other number are related by multiplying 2 to the previous, and the second number and every other is based on a simple subtraction of one. This means that the next two numbers in the series are b) 56, 12.

Again, even though the missing number is in the middle of the series, the methodology for finding the answer remains the same. The previous two terms for the missing number are 8 and 12, which makes the answer c) 20.

Working on number sequences becomes easier when you have practiced; recognising common types of sequence is easier if you are familiar with what they tend to look at. You can find number sequence practice in our numerical reasoning tests guide.

The mathematical skills that are needed to make the connection between terms are not difficult. Brushing up on basic arithmetic knowledge is all that is needed to give you confidence for completing number series questions.

Although numerical ability tests are applicable to much administrative as well as executive jobs, they are also an essential component in screening applicants for the key positions in an organization. The pace at which one can answer the problems is the main factor to succeed in the test, as almost all candidates will attain a very good result if provided with the privilege of having unlimited time to answer. Depending on the test publisher, a candidate may expect to solve 30-35 problems in 25-30 minutes. However, the count and time may vary in specific kind of tests, i.e. tests that may require the candidate to solve cascaded number series problems which might consume more time per problem and also depends on who the test publisher is. A variety of psychometric tests is designed to assess the mathematical aptitude of a person, including numerical reasoning tests, logical reasoning tests, number series tests, etc.

Number sequence assessment offers mathematical sequences that adhere to a logical rule based on simple arithmetic. A preliminary series is presented from which the rule is inferred. The participant then has to predict the subsequent number that follows the ruling. The complexity level of the questions may raise in certain ways.

Firstly, the rule behind the sequence becomes less insignificant; thereby demanding concentration and intuition. Secondly, the missing part is located at an early step; thus preventing the examinee from interpreting the concealed logic by observing only the previous number in the series. 9af72c28ce

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