Number Series Reasoning Notes for Coaching Classes, Questions and Answers, Online Practice test and PDF in Hindi for free Download.

**There are two type of Questions asked in competitive exams : **

Find the missing number

Spot the wrong number

#### Difference of Numbers are equal /संख्याओं का अंतर बराबर है

Ex: **1, 4, 7, 10, 13, 16, 19, 22, ?**

Solution : Addition of 3, therefore, 22+3 =25

#### Difference of Difference of Numbers are equal / संख्याओं के अंतर के अंतर समान हैं

Ex: **3, 10, 20, 33, 49, 68, ? **

3 | 10 | 20 | 33 | 49 | 68 | ? (68+22=90) |

7 | 10 | 13 | 16 | 19 | 19+3=22 | |

3 | 3 | 3 | 3 | 3 |

#### Difference of Difference of Difference of Numbers are equal

Ex: **3, 8, 18, 35, ?, 98**

3 | 8 | 18 | 35 | ? (35+26=61) | 61+37=98 |

5 | 10 | 17 | 17+9=26 | 26+11=37 | |

5 | 7 | 9 | 11 | ||

2 | 2 | 2 |

#### Two Series / दो श्रृंखला

Ex: **4, 28, 6, 26, 8, 24, 10, 22, 12, ?**

Two different series 4,6,8,10,12…. and 28,26,24,22,20…

**Answer is 20**

#### Three Series / तीन श्रृंखला

Ex: **0, 4, 6, 3, 7, 9, 6, ?, 12**

Three different series with addition of 3

0,3,6,9, …

4,7,10,13…

6,9,12,15…**Answer is 10**

#### Prime Number Series / अभाज्य संख्या श्रृंखला

Ex: **2, 3, 5, 7, 11, 13, 17, 19, 23, ? **

Series of Prime numbers and next is **23 **

#### Mathematical Operations

Ex: **3, 4, 10, 33, ?**

3×1+1 =4, 4×2+2=10, 10×3+3=33, 33×4+4=136

#### Square of Numbers / संख्याओं का वर्ग

Ex: **1, 4, 9, 16, 25, 36,49, ?**

Square of 1,2,3,4,5,6,7,8.. Next is** 64**

#### Square *±* 1,2,3,

**[x ^{2}±1,2,3,4,5], [(x+1)^{2}±1,2,3,4,5], [(x+2)^{2}±1,2,3,4,5]……..**

**Example : 3, 6, 11, 18, 27, ?** *1 ^{2}+2*,

*2*,

^{2}+2*3*,

^{2}+2*4*,

^{2}+2*5*,

^{2}+2*6*,

^{2}+2**= 38**

**(x ^{2}+x), [(x+1)^{2}±(x+1)], [(x+2)^{2}±(x+2)]………**

Example : **1, 6, 12, 20, 30, 42, ? ** *1 ^{2}+1*,

*2*,

^{2}+2*3*,

^{2}+3*4*,

^{2}+4*5*,

^{2}+5*6*,

^{2}+6

*7*= 56,^{2}+7#### Cube *±* 1,2,3

Just like square questions bases on cube may be asked.

Ex: **336, 210, 120, 60, 24, ?, 0** *7 ^{3}-7*,

*6*,

^{3}-6*5*,

^{3}-5*4*,

^{3}-4*3*,

^{3}-3*2*2,

^{3}–*1*,

^{3}-1**Answer is 6**

Ex: **2, 3, 10, 29, 66, ?** *0 ^{3}+2*,

*1*,

^{3}+2*2*, 3

^{3}+2*, 4*

^{3}+2*,*

^{3}+2**5**

*, = 127*^{3}+2#### Miscellaneous Questions / विविध प्रश्न

**Ex : 181, 191, 202, 206, 214, ?**

181+(1+8+1) =191, 191+(1+9+1)=202, 202+(2+0+2)=206, 206+(2+0+6)=214, **214+(2+1+4) = 221**

**Ex: 6, 15, 35, 77, 143, 221, ?**

Multiple of prime numbers

2×3, 3×5, 5×7, 7×11, 11×13, **13×17 = 221**

**Ex: 9, 27, 31, 155, 161, 1127, ?**

9×3=27, 27+4=31, 31×5=155, 155+6=161, 161×7=1127, **1127+8=1135**