Which of the following number will come next in the given series.
Important for :
1
23, 57, 1113, 1719, 2329, ?
» Explain it
A
In the given series, each number is formed by combining 2 consecutive prime numbers starting from 2. For example 2 and 3 is written as 23, 5 and 7 is written as 57, 11 and 13 is written as 1113 and so on.

∴ Two prime numbers after 29 are 31 and 37.

∴ The next number in the given series is 3137.

Hence, option A is correct.

2
2, 3, 5, 5, 7, 10, 11, 13, 15, 17, 19, 20, 23, ?
» Explain it
E
There are two patterns in this series.

Starting from the third number, every third number is a multiple of 5 i.e. 5, 10, 15, 20.

Now, consider the remaining terms i.e. 2, 3, 5, 7, 11, 13, 17, 19, 23

Thus, there are two prime numbers between consecutive multiples of 5.

Hence, the next term should be the next prime number i.e. 29.

Hence, option E is correct.

3
2, 10, 24, 44, 70, 102, ?
» Explain it
B
Consider the difference between consecutive terms i.e. 8, 14, 20, 26 and 32.

Observe that the difference has been increasing by 6 for each term.

Hence, the next difference = 38 and next term = 102 + 38 = 140

Hence, option B is correct.

4
3, 2, –1, –6, –13, –22, ?
» Explain it
B
Consider the difference between consecutive terms: −1, −3, −5, −7 and −9.

Hence, the next difference should be −11.

Hence, if next term = x; x − (−22) = −11

∴ x = −22 − 11 = −33

Hence, option B is correct.

5
7, 27, 19, 26, 31, 24, 43, 21, ?
» Explain it
A
Since the numbers increase and decrease, there might be an alternating series.

Considering alternate terms, there are two series: 7, 19, 31, 43, ? and 27, 26, 24, 21.

The required term should follow the logic of the first series. Observe that this series has a common difference i.e. 12.

∴ Next term = 43 + 12 = 55

Hence, option A is correct.

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Folks! In this important article, we are going to talk about different kinds of Number Series Question which are frequently asked in SBI PO Pre and other Bank PO Pre Exams. Frankly speaking, we have been witnessing a lot of change in pattern of questions specifically in Bank Exams and Number series questions can fetch you good marks in this every changing pattern of Bank Exams. It is very much probable that you see the major portion of SBI PO 2019 and SBI Clerk Mains 2019 exams covered with Number series questions.

Number series questions frequently asked in Bank, Insurance and SSC exams like IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, NIACL, LIC and Bank PO and Clerk Exams. In Bank and insurance exams these questions are based on numerical sequences that follow a logical rule/ pattern based on elementary arithmetic concepts. A particular series is given from which the pattern must be analyzed. You are then asked to predict the next number in the sequence following the same rule. Generally, there are three types of questions asked from the number series:

A numerical series is given in which a number is wrongly placed. You are asked to identify that particular wrong number.A complete numerical series is followed by an incomplete numerical series. You need to solve that incomplete numerical series in the same pattern in which the complete numerical series is given.

Different types of Number Series are being asked in IBPS Clerk, SBI Clerk and NIACL:

The most common patterns followed by number series are:

Series consisting of Perfect Squares:

A series based on Perfect squares is most of the times based on the perfect squares of the numbers in a specific order & generally one of the numbers is missing in this type of series.

Ex:  324, 361, 400, 441,?

Sol: 324 = 182 , 361 = 192, 400 = 202, 441 = 212, 484 = 222

Perfect Cube Series:

It is based on the cubes of numbers in a particular order and one of the  numbers is missing in the series.

Ex: 512, 729, 1000,?

Sol: 83, 93, 103, 113

To solve Number Series Question Quiz with Answers for Banking and Insurance Exams like SBI, IBPS, NABARD & RBI Grade B, NIACL, and LIC, you need to brush up your pattern skills; you need to observe pattern faster and accurately than others. The difficult Pattern Number Series should be solved within 1-1-2 minutes. Moderate level number series should not consume more than 40-55 seconds of the time and easy number series should be finished within 35 seconds.

At Smartkeeda you can attempt Easy to High Level Number Series quizzes and download (DI) PDF for free. You can also practice Wrong term series quizzes, Missing Term Series Questions for IBPS Clerk Pre Exams.

Here are the some more type of number series pattern detailed solutions for IBPS Clerk Pre 2018.

Geometric Series based series for IBPS Clerk Pre and IBPS Clerk 2018:

It is based on either descending or ascending order of numbers and each successive number is obtained by dividing or multiplying the previous number by a specific number.

Ex: 4, 36, 324, 2916    ?

Sol: 4 x 9 = 36, 36 x 9 = 324, 324 x 9 = 2916, 2916 x 9 = 26244.

Arithmetic Series for IBPS Clerk Pre 2018 and IBPS Clerk 2018 with Explanation:
It consists of a series in which the next term is obtained by adding/subtracting a constant number to its previous term. Example: 4, 9, 14, 19, 24, 29, 34 in which the number to be added to get the new number is 5. Now, we get an arithmetic sequence 2,3,4,5.
Two-stage Type Series:

In a two step Arithmetic series, the differences of consecutive numbers themselves form an arithmetic series.
Ex: 1, 3, 6, 10, 15.....
Sol: 3 - 1 = 2, 6 - 3 = 3, 10 - 6 = 4, 15 - 10 = 5....
Now, we get an arithmetic sequence 2, 3, 4, 5

Mixed Series for IBPS Clerk 2018 with Explanation:

This particular type of series may have more than one pattern arranged in a single series or it may have been created according to any of the unorthodox rules.

Ex: 10, 22, 46, 94, 190,?
Sol:
10 x 2 = 20 +2 = 22,
22 x 2 = 44 + 2 = 46,
46 x 2 = 92 + 2 = 94,
94 x 2 = 188 + 2 = 190,
190 x 2 = 380 + 2 = 382.

So the missing number is 382.

Arithmetic –Geometric Series for IBPS Clerk 2018 :

As the name suggests, Arithmetic –Geometric series is formed by a peculiar combination of Arithmetic and Geometric series. An important property of Arithmetic- Geometric series is that the differences of consecutive terms are in Geometric Sequence they have seen in IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, NIACL and LIC Exams.

Ex: 1, 4, 8, 11, 22, 25, ?

Sol : Series Type +3 , X2 ( i.e Arithmetic and Geometric Mixing)
1 + 3 = 4, 4 X 2 = 8, 8 + 3 = 11, 11 X 2 = 22, 22 + 3 = 25, 25 X 2 = 50

Geometric - Arithmetic Series is the reverse of Arithmetico - Geometric Series. The differences of suggestive terms are in Arithmetic Series is being asked ibps po and ibps clerk exams.

Ex: 1, 2, 6, 36, 44, 440, ?

Sol: Series Type - × 2, + 4, × 6, +8 , × 10
1 × 2 = 2, 2 + 4 = 6, 6 × 6 = 36, 36 + 8 = 44, 44 × 10 = 440, 440 + 12 = 452

Twin/Alternate Series :

As the name of the series specifies, this type of series may consist of two series combined into a single series. The alternating terms of this series may form an independent series in itself.

Ex: 3, 4, 8, 10, 13, 16 ? ?

Sol: As we can see, there are two series formed

Series 1: 3, 8, 13 with a common difference of 5

Series 2: 4, 10, 16 with a common difference of 6

So, next two terms of the series should be 18 & 22 respectively.

I hope this article will help you to attempt more number series in Bank Clerk Pre, Bank Clerk mains and Insurance Exams. If you want to practice a mock test for IBPS Clerk, SBI Clerk Pre, NIACL, LIC, SSC CGL and other government job exams. You can go to the Best Test Series of Band and SSC Exams at Testzone. At Testzone you will get high quality test at low cost.