** Introduction: **Objective questions are asked from the following two types related to the number-class related to competition exams-

** 1. **The wrong number present in the given number-range has to be identified.**
2.** The next number of given number-range has to be determined.

** Example 1. **What is wrong in the given series?

Here number 20 is wrong. So the number is 20 in place of 20.

**Example 2. **What will be the next post for the given number order?

3 12 30 66 138 …? …

** Exp: **(3 × 2) + 6 = 12, (12 × 2) +6 = 30, (30 × 2) + 6 = 66, (66 × 2) + 6 = 138, ( 138 × 2) + 6 = 282

Therefore, the desired post = 282 ** Answer. **

** TYPES OF NUMBER SERIES **

** 1. Power Series
(A) Square Series: **

** Identification: **If all the terms of the given number-class are some number of classes or there is a close number of them, that series will be a series series.

** Example 1. **Which number is wrong in the given number range?

In this category, the first, third, fifth and seventh positions from left to right are 1, 1 + 2 = 3, 3 + 2 = 5 and 5 + 2 = 7, respectively, and second, seventh, fourth and sixth respectively. : 4, 4 + 4 = 8 and 8 + 4 = 12 squares. Hence the number 169 of this number range is wrong.

** Example 2. **What will be the next position for the given number-category?

The first number in each pair of this series is the square of the number, the second number is equal to the sum of the number of the same number and the sum of that number. So the next number will be 110.

**(B) (cube series): **

** Identification: **If all of the given number-grade posts are some number of money or there is a close number of them, that series will be the series of series.

** Example: **What is wrong in the given number order?

Here number 65 is wrong. So the number 65 will be ’64 “instead.

**(C) Square and cube addition series.**

** Identification: **If the difference between the initial two positions in the given number-category is very less and the difference between the last two posts is very high, then it can be a series class plus or a fundraising series.

**Example 1. **What is wrong in the given series?

The number 103 is wrong, so instead of number 103, the number will be 88.

**Example 2. **What will be the next post for the given number order?

Hence, the outstanding number is 1228.

**2. ADDITION SERIES**

** (A). Constant Addition Series **

** Identification: **If the difference between the first and last positions of the given number-class is not very high and the difference of two consecutive terms is similar then that series can be fixed fixed series.

** Example: What is wrong in the given series?**

Number 154 is incorrect in this number range. Hence the number 154 will be 153.

**(B) Combined series (in ascending order) Addition Series (in increasing order): **

** Identification: **If the difference between the first and last positions of the given number-class is not very high and the difference between the two consecutive positions is in ascending order, then that series can be added in the chain (increasing order).

** Example: **What is wrong in the given number order?

This number-number number 36 is incorrect. Therefore, the number should be 37 instead of 36.

**3. Multiplication Series.**

** (A) Fixed Multiplication Series. **

** Identification: **If the difference between the first and last positions of the given number-class is very high and the ratio of two consecutive posts is equal, that series can be a fixed multiplication chain.

** Example: **Which number is wrong in the given number-range?

This number-number number 365 is wrong. Therefore, the number 375 will be 375 instead of number 365.

**(B) Multiplication Series (In Increasing Order) In Increasing Order **

** Identification: **If the difference between the first and last positions of the given number-class is very high and the proportion of two consecutive posts is in ascending order, then it can be series multiplied by chain (in ascending order).

** Example: **Which number is wrong in the given number-range?

This number-number 270 number is incorrect. Hence the number should be 236.25 in place of 270.

**4. MULTIPLICATION AND ADDITION SERIES**

** (A) Fixed multiplication and Constant Addition Series: **

** IDENTIFICATION: **If there is a lot of difference in the first and last positions of a number-class and in the first of two consecutive posts, By adding a certain number by multiplying by number, if the subsequent numbers are received, then that number can be a number-bound factor multiplied and fixed sum chain.

** Example:** What is wrong with the given series?

This number is wrong 48 number of the number. Therefore, the number should be 47 instead of 48.

**(B) Fixed multiplication and continuous multiplication and increasing addition series **

** IDENTIFICATION: **If there is a lot of difference in the first and last positions of a number-category and two of the consecutive posts are multiplied by a certain number of posts in ascending order, respectively, If the posts are received, then the series can be fixed multiplied and in the increasing order, there may be a series of joints.

** Example: **What is wrong with the given number order 2

In this number, the number would be 35 in place of number 38. Hence the number 38 is incorrect.

**(C) Multiplication and fixed sum series (Increasing Multiplication and Constant Addition Series) in ascending order. **

** IDENTIFICATION: **If there is a lot of difference in the first and last positions of any number-class and in the first order of two consecutive posts, by increasing the number by multiplying by any number, If the next steps are received, then the series can be multiplied in the increasing order and fixed joint series.

** Example: **What is wrong in the given number order?

In this numerical class, the number is 17 in place of number 16. So the number 16 is wrong.

**(D) Multiplication in incremental order and Increasing Addition of Increasing Addition Series. **

** IDENTIFICATION: **If the number of first and last positions in any given number-class is very high and the number of two consecutive posts in the first order by multiplying by number in incremental order, adding a number in ascending order. If the subsequent numbers are received, then that series can be multiplied in incremental order and the zeros series in ascending order.

** Example: **Which number is wrong in the given number-range?

In this number-category, the number 27 will be 27 in place of number. So the number 37 is wrong.

**5. MULTIPLICATION AND SUBTRACTION SERIES**

**Fixed Multiplication and Constant Addition Series **

** IDENTIFICATION: **If there is a lot of difference in the first and last positions of any given number-category and after decreasing a certain number by multiplying by a certain number in the first of two consecutive posts, respectively, If the next numbers are received then that series can be fixed multiplication and fixed deductible series.

** Example:** Which number is wrong in the given number-range?

In this number-division, the number 194 will be numbered 194. So the number 192 is wrong.

**(B) Fixed multiplication and continuous multiplication and increment subtraction series: **

** IDENTIFICATION: **If the number of first and last positions in any given number-class is very high and the number of two consecutive posts are multiplied by a certain number in the first order, If the next numbers are received then that series can be fixed multiplication and decreasing series in ascending order.

** Example: **Which number is incorrect in number order?

In this number-division the number will be 38 instead of 39. So the number 39 is wrong.

**(C) Multiplication and Constant Subtraction Series in ascending order **

** IDENTIFICATION: **If the difference between the first and last positions of any given number-category is very high and the number of two consecutive posts in the first order, by increasing the number by multiplying by the number, If the next numbers are received then that series can be multiplied by the increasing order and the fixed subtraction chain.

** Example: **Which number is wrong in the given number range?

In this number-category the number will be 68 instead of 67. So the number 67 is wrong.

**(D) Multiplication in increasing order and Increasing Multiplication and Increasing Subtraction Series **

** IDENTIFICATION: **If the number of first and last positions in any given number-class is very high, and in the first order of two consecutive posts in the increasing order by multiplying the number by decreasing any number in the increasing order But if the subsequent numbers are received, then that series can be multiplied in incremental order and the distribution chain in ascending order.

** Example: **What is wrong in the given series?

Number 1321 will be number 1321 in this number-category. Hence the number 1325 is wrong.

** 6. MULTIPLICATION AND DIVISION SERIES)**

**IDENTIFICATION:** If the number of first and last positions in any given number-class is not very high and the second post is larger than the first position, the third term is smaller from the second position and the fourth position is the third. It can be chain multiplication and division series.

**Example:** What is wrong in the given series?

In this number-division, the number will be 13.5 in place of 18.5. So the number 18.5 is wrong.

**7. Part and Multiplication series**

**IDENTIFICATION:** If the number of first and last positions in any given number-class is reduced and the second position is less than the first position, the third position is higher from the second position and the fourth position is less than the third position. Part and multiplication can be series.

** Example: **Which number is wrong in the given number range?

In this number-category, the number will be 96 in place of number 92. So the number 92 is wrong.

** 8. LETTER series (ALTERNATE SERIES)**

**IDENTIFICATION:** If you add or subtract a certain number in the first, third, fifth and seventh positions of any given number-class, or multiply by the fixed number or divide the second, fourth, Sixth and eighth posts are received, and in the second, fourth and sixth positions, by adding or subtracting any other fixed number or by multiplying or dividing by that fixed number, respectively, the third, fifth, and seventh positions Which are Rapt, he may range interval series.

** Example 1. **Which number is wrong in the given series?

In this series there will be number 13 instead of number 12. So the number 12 is wrong.

**Example 2.** What is wrong in the given number order?

In this number-division there will be number 6 in place of number 4. So the number 4 is wrong.

**9. Added series (PAIR-SERIES)**

**IDENTIFICATION:** If in the first, third, and fifth positions of any given number-class, adding or subtracting a certain number or multiplying by the fixed number or dividing it, the third, fifth, and seventh respectively And in the second, fourth and sixth positions, to add or subtract a certain number or to multiply or divide by that fixed number, respectively, if the fourth, sixth and eighth positions are received Series can be added series.

** Example 1. **What is wrong in the given number order?

In this added series, the number 71 will be replaced by the number 74. So the number 71 is wrong.

**Example 2. **What is wrong in the given series?

In this series there will be number 14 instead of number 10. So the number 10 is wrong.

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