__Number Series__

1- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

1, 4, 9, 16, 25, x

#### Options:

**A.** 35 **B.** 36 **C.** 48 **D.** 49

### Answer: ** B .** 36

**Justification:**The numbers are 1

.'. Missing number = 6

^{2}, 2^{2}, 3^{2}, 4^{2}, 5^{2}..'. Missing number = 6

^{2 }= 36.2- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

20, 19, 17, x , 10, 5

#### Options:

**A.**12

**B.**13

**C.**14

**D.**15

### Answer: ** C .** 14

**Justification:**The Pattern is - 1, - 2,...

.'. Missing number = 17 - 3 = 14.

.'. Missing number = 17 - 3 = 14.

3- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

2, 3, 5, 7, 11, x, 17

#### Options:

**A.**12

**B.**13

**C.**14

**D.**15

### Answer: ** B .** 13

**Justification:**Clearly, the given series consists of prime numbers starting from 2. The prime number after 11 is 13.

So, 13 is the missing number.

So, 13 is the missing number.

4- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 6, 11, 21, 36, 56,

#### Options:

**A.**42

**B.**51

**C.**81

**D.**91

### Answer: ** C .** 81

**Justification:**The pattern is + 5, + 10, + 15, + 20,....

.'. Missing Number = 56 + 25 = 81.

.'. Missing Number = 56 + 25 = 81.

5- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 6, 13, 22, 33,

#### Options:

**A.**44

**B.**45

**C.**46

**D.**47

### Answer: ** C .** 46

**Justification:**The pattern is + 5, + 7, + 9, + 11,...

.'. Missing number = 33 + 13 = 46.

.'. Missing number = 33 + 13 = 46.

6- n following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 9, 27, 81,

#### Options:

**A.**324

**B.**243

**C.**210

**D.**162

### Answer: ** B .** 243

**Justification:**Each term of the given series is obtained by multiplying its preceding term by 3.

.'. Missin number = 81 * 3 = 243.

.'. Missin number = 81 * 3 = 243.

7- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 9, 17, 33, 49, 73,

#### Options:

**A.**97

**B.**98

**C.**99

**D.**100

### Answer: ** A .** 97

**Justification:**The pattern is + 8, + 8, + 16, + 24,....

.'. Missing number = 73 + 24 = 97

.'. Missing number = 73 + 24 = 97

8- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 2, 5, 9, , 20, 27

#### Options:

**A.**14

**B.**16

**C.**18

**D.**24

### Answer: ** A .** 14

**Justification:**The pattern is + 3, + 4,....

.'. Missing number = 9 + 5 = 14.

.'. Missing number = 9 + 5 = 14.

9- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 5, 9, 17, 29, 45,

#### Options:

**A.**60

**B.**65

**C.**68

**D.**70

### Answer: ** B .** 65

**Justification:**The pattern is + 4, + 8, + 12, + 16, ...

.'. Missing number = 45 + 20 = 65.

.'. Missing number = 45 + 20 = 65.

10- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 7, 15, 31, 63,

#### Options:

**A.**92

**B.**115

**C.**127

**D.**131

### Answer: ** C .** 127

**Justification:**Each number in the series is the preceding number multiplied by 2 and then increased by 1.

Thus, (3 * 2) + 1 = 7,

(7 * 2) + 1 = 15,

(15 * 2) + 1 = 31 ans so on.

.'. Missing number = (63 * 2) + 1 =127.

Thus, (3 * 2) + 1 = 7,

(7 * 2) + 1 = 15,

(15 * 2) + 1 = 31 ans so on.

.'. Missing number = (63 * 2) + 1 =127.

11- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 6, 15, , 45, 66, 91

#### Options:

**A.**25

**B.**26

**C.**27

**D.**28

### Answer: ** D .** 28

**Justification:**The pattern is + 5, + 9, ..., + 21, + 25

.'. Missing number = 15 + 13 = 28.

.'. Missing number = 15 + 13 = 28.

12- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 2, 3, 5, 8,

#### Options:

**A.**9

**B.**11

**C.**13

**D.**15

### Answer: ** C .** 13

**Justification:**Each term in the series is the sum of the preceding two terms.

Thus, 1 + 2 = 3,

2 + 3 = 5,

3 + 5 = 8 and so on.

.'. Missing number = 5 + 8 = 13.

Thus, 1 + 2 = 3,

2 + 3 = 5,

3 + 5 = 8 and so on.

.'. Missing number = 5 + 8 = 13.

13- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 0.5, 1.5, 4.5, 13.5,

#### Options:

**A.**45.5

**B.**39.5

**C.**30.5

**D.**40.5

### Answer: ** D .** 40.5

**Justification:**Each term of the series is obtained by multiplying the preceding term by 3.

.'. Missing number = 13.5 * 3 = 40.5.

.'. Missing number = 13.5 * 3 = 40.5.

14- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 121, 225, 361,

#### Options:

**A.**441

**B.**484

**C.**529

**D.**729

### Answer: ** C .** 529

**Justification:**The numbers are 11

.'. Missing number =(11 + 4 * 3)

^{2}, 15^{2}, 19^{2},... i.e. 11^{2}, (11 + 4 * 1)^{2}, (11 + 4 * 2)^{2},.....'. Missing number =(11 + 4 * 3)

^{2}= (23)^{2}= 529.15- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 0, 2, 8, 14, , 34

#### Options:

**A.**24

**B.**22

**C.**20

**D.**18

### Answer: ** A .** 24

**Justification:**The number are 1

.'. Missing number = 5

^{2}- 1, 2^{2}- 2, 3^{2}- 1,^{ }4^{2}- 2,.....'. Missing number = 5

^{2}- 1 = 24.16- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 19, 2, 38, 3, 114, 4,

#### Options:

**A.**228

**B.**256

**C.**352

**D.**456

### Answer: ** D .** 456

**Justification:**The sequence is a combination of two series :

I. 19, 38, 114, (....) and II. 2, 3, 4

The pattern followed in I is * 2, * 3,...

.'. Missing number = 114 * 4 = 456.

The pattern followed in I is * 2, * 3,...

.'. Missing number = 114 * 4 = 456.

17- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 2, 3, 6, 9, 18, , 54

#### Options:

**A.**18

**B.**27

**C.**36

**D.**81

### Answer: ** B .** 27

**Justification:**The numbers are alternately multiplied by 2 and 3 / 2.

Thus, 1 * 2 = 2,

2 * 3 / 2 = 3,

3 * 2 = 6,

6 * 3 / 2 = 9 and so on.

.'. Missing number = 18 * 3 / 2 = 27.

Thus, 1 * 2 = 2,

2 * 3 / 2 = 3,

3 * 2 = 6,

6 * 3 / 2 = 9 and so on.

.'. Missing number = 18 * 3 / 2 = 27.

18- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

4, 5, 9, 18, 34, (…..)

#### Options:

**A.**43

**B.**49

**C.**50

**D.**59

### Answer: ** D .** 59

**Justification:**The pattern is + 1, + 4, + 9, + 16,... i.e., + 1

.'. Missing number = 34 + 5

^{2}, + 2^{2}, + 3^{2},+ 4^{2},....'. Missing number = 34 + 5

^{2}= 34 + 25 = 59.19- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 6, 18, 72,

#### Options:

**A.**144

**B.**216

**C.**288

**D.**360

### Answer: ** D .** 360

**Justification:**The pattern is * 2, * 3, * 4,...

.'. Missing number = 72 * 5 = 360.

.'. Missing number = 72 * 5 = 360.

20- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 66, 36, 18,

#### Options:

**A.**3

**B.**6

**C.**8

**D.**9

### Answer: ** C .** 8

**Justification:**Each number is the series is the product of the digit of the preceding number.

Thus, 6 * 6 = 36,

3 * 6 = 18 and so on.

.'. Missing number = 1 * 8 = 8.\

Thus, 6 * 6 = 36,

3 * 6 = 18 and so on.

.'. Missing number = 1 * 8 = 8.\

21- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 21, 25, 33, 49, 81,

#### Options:

**A.**145

**B.**129

**C.**113

**D.**97

### Answer: ** A .** 145

**Justification:**The pattern is + 4, + 8, + 16, + 32,.... i.e. + 2

.'. Missing number = 81 + 2

^{2}, + 2^{3}, + 2^{4}, + 2^{5},....'. Missing number = 81 + 2

^{6}= 81 + 64 = 145.22- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 21, 25, 33, 49, 81,

#### Options:

**A.**145

**B.**129

**C.**113

**D.**97

### Answer: ** A .** 145

**Justification:**The pattern is + 4, + 8, + 16, + 32,.... i.e. + 2

.'. Missing number = 81 + 2

^{2}, + 2^{3}, + 2^{4}, + 2^{5},....'. Missing number = 81 + 2

^{6}= 81 + 64 = 145.23- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 6, 5, 20, 7, 42, 9,

#### Options:

**A.**54

**B.**60

**C.**66

**D.**72

### Answer: ** D .** 72

**Justification:**The sequence is a combination of two series :

I. 3, 5, 7, 9 and

II. 6, 20, 42, (....)

The pattern is followed in II is + 14, + 22,....

.'. Missing number = 42 + 30 = 72.

I. 3, 5, 7, 9 and

II. 6, 20, 42, (....)

The pattern is followed in II is + 14, + 22,....

.'. Missing number = 42 + 30 = 72.

24- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 3, 4, 8, 15, 27,

#### Options:

**A.**37

**B.**44

**C.**50

**D.**55

### Answer: ** C .** 50

**Justification:**The sum of any three consecutive terms of the series gives the next term.

Thus, 1 + 3 + 4 = 8 ;

3 + 4 + 8 = 15 ;

4 + 8 + 15 = 27 and so on.

.'. Missing number = 8 + 15 + 27 = 50.

Thus, 1 + 3 + 4 = 8 ;

3 + 4 + 8 = 15 ;

4 + 8 + 15 = 27 and so on.

.'. Missing number = 8 + 15 + 27 = 50.

25- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 2, 15, 41, 80,

#### Options:

**A.**111

**B.**120

**C.**121

**D.**132

### Answer: ** D .** 132

**Justification:**The pattern is + 13, + 26, + 39,...

.'. Missing number = 80 + 52 = 132.

.'. Missing number = 80 + 52 = 132.

26- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 8, 10, 14, 18, , 34, 50, 66

#### Options:

**A.**24

**B.**25

**C.**26

**D.**27

### Answer: ** C .** 26

**Justification:**The pattern is + 2, + 4, + 4,... + 16, + 16.

.'. Missin number = 18 + 8 = 26.

.'. Missin number = 18 + 8 = 26.

27- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 2, 6, 24,

#### Options:

**A.**60

**B.**95

**C.**120

**D.**150

### Answer: ** C .** 120

**Justification:**The pattern is * 2, * 3, * 4,....

.'. Missing number = 24 * 5 = 120.

.'. Missing number = 24 * 5 = 120.

28- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

2, 3, 8, 63, (…..)

#### Options:

**A.**1038

**B.**1998

**C.**3008

**D.**3968

### Answer: ** D .** 3968

**Justification:**Each term in the series is one less than the square of the preceding term.

Thus, 2

8

.'. Missing number = (63)

Thus, 2

^{2}- 1 = 3,^{}3^{2}- 1 = 8,8

^{2}- 1 = 63..'. Missing number = (63)

^{2}- 1 = 3969 - 1 = 3968.29- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 95, 115.5, 138, , 189

#### Options:

**A.**154.5

**B.**162.5

**C.**164.5

**D.**166.5

### Answer: ** B .** 162.5

**Justification:**The pattern is + 20.5, + 22.5,....

.'. Missing term = 138 + 24.5 = 162.5.

.'. Missing term = 138 + 24.5 = 162.5.

30- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 4, 10, , 82, 244, 730

#### Options:

**A.**24

**B.**28

**C.**77

**D.**218

### Answer: ** B .** 28

**Justification:**Each number in the series is the preceding number multiplied by 3 and then decreased by 2.

31- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 4, 32, 128,

#### Options:

**A.**128

**B.**144

**C.**192

**D.**256

### Answer: ** D .** 256

**Justification:**The pattern is * 8, * 4,....

.'. Missing term = 128 * 2 = 256.

.'. Missing term = 128 * 2 = 256.

32- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 2, 5, 9, 19, 37,

#### Options:

**A.**76

**B.**75

**C.**74

**D.**72

### Answer: ** B .** 75

**Justification:**The pattern is * 2 + 1, * 2 - 1, * 2 + 1, * 2 - 1,....

.'. Missing number = 37 * 2 + 1 = 75.

.'. Missing number = 37 * 2 + 1 = 75.

33- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 24, 60, 120, 210,

#### Options:

**A.**300

**B.**336

**C.**420

**D.**525

### Answer: ** B .** 336

**Justification:**The pattern is+ 36, + 60, + 90, ....

i.e., + [ 6 * (6 + 0) ], + [ 6 * (6 + 4) ], + [ 6 * (6 + 9) ],.....

.'. Missng number = 210 + [ 6 * (6 + 15)] = 210 + 126 = 336.

i.e., + [ 6 * (6 + 0) ], + [ 6 * (6 + 4) ], + [ 6 * (6 + 9) ],.....

.'. Missng number = 210 + [ 6 * (6 + 15)] = 210 + 126 = 336.

34- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 165, 195, 255, 285, 345,

#### Options:

**A.**375

**B.**420

**C.**435

**D.**390

### Answer: ** C .** 435

**Justification:**Eacch number is 15 multiplied by a primev number

i.e. 15 * 11, 15 * 13, 15 * 17, 15 * 19, 15 * 23.

.'. Missing term = 15 * 29 = 435.

i.e. 15 * 11, 15 * 13, 15 * 17, 15 * 19, 15 * 23.

.'. Missing term = 15 * 29 = 435.

35- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 5, 17, 37, 65, , 145

#### Options:

**A.**95

**B.**97

**C.**99

**D.**101

### Answer: ** D .** 101

**Justification:**The numbers are 2

^{2}+ 1, 4^{2}+ 1, 6

^{2}+ 1, 8

^{2}+ 1,...., 12

^{2}+ 1.

.'. Missing number = 10

.'. Missing number = 10

^{2}+ 1 = 101.

36- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

9, 11, 20, 31, (…….), 82

#### Options:

**A.**41

**B.**51

**C.**60

**D.**71

### Answer: ** B .** 51

**Justification:**Each term in the series is the sum of the preceding two terms.

.'. Missing number = 20 + 31 = 51.

.'. Missing number = 20 + 31 = 51.

37- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 5, 16, 49, 104,

#### Options:

**A.**115

**B.**148

**C.**170

**D.**181

### Answer: ** D .** 181

**Justification:**The pattern is + 11, + 33, + 55,....

i.e., + (11 * 1), + (11 * 3), + (11 * 5),....

.'. Missing number = 104 + (11 * 7) = 181.

i.e., + (11 * 1), + (11 * 3), + (11 * 5),....

.'. Missing number = 104 + (11 * 7) = 181.

38- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 34, 18, 10, 6, 4,

#### Options:

**A.**0

**B.**1

**C.**2

**D.**3

### Answer: ** D .** 3

**Justification:**Each term is divided by 2 and then increased by 1 to obtain the next term.

.'. Missing term = (4 / 2) + 1 = 3.

.'. Missing term = (4 / 2) + 1 = 3.

39- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 462, 420, 380, , 306

#### Options:

**A.**322

**B.**332

**C.**342

**D.**352

### Answer: ** C .** 342

**Justification:**The pattern is - 42, - 40, ...

.'. Missing number = 380 - 38 = 342.

.'. Missing number = 380 - 38 = 342.

40- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 8, 22, 63, 185,

#### Options:

**A.**550

**B.**310

**C.**295

**D.**285

### Answer: ** A .** 550

**Justification:**The pattern is * 3 - 1, * 3 - 2, * 3 - 3, * 3 - 4,..

.'. Missing number = (185 * 3 ) - 5 = 550.

.'. Missing number = (185 * 3 ) - 5 = 550.

41- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 2, 5, 12, 27, 58, 121,

#### Options:

**A.**246

**B.**247

**C.**248

**D.**249

### Answer: ** C .** 248

**Justification:**The pattern is * 2 + 0, * 2 + 1, * 2 + 2, * 2 + 3, * 2 + 4, * 2 + 5,...

.'. MIssing number = 121 * 2 + 6 = 248.

.'. MIssing number = 121 * 2 + 6 = 248.

42- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 0.5, 0.55, 0.65, 0.8,

#### Options:

**A.**0.9

**B.**0.82

**C.**1

**D.**0.95

### Answer: ** C .** 1

**Justification:**The pattern is + 0.05, 0.10, + 0.15,....

.'. Missing number = 0.8 + 0.20 = 1.

.'. Missing number = 0.8 + 0.20 = 1.

43- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 8, 13, 24, 41,

#### Options:

**A.**70

**B.**75

**C.**80

**D.**85

### Answer: ** A .** 70

**Justification:**The pattern followed is :

nth term + (n + 1) th term + (n + 1) = (n + 2) th term.

Thus, 1st term + 2nd term + 2 = 3rd term;

2nd term + 3rd term + 3 = 4th term and so on.

.'. Missing term = 6th term = 4th term + 5th term = 5

= 24 + 41 + 5 = 70.

nth term + (n + 1) th term + (n + 1) = (n + 2) th term.

Thus, 1st term + 2nd term + 2 = 3rd term;

2nd term + 3rd term + 3 = 4th term and so on.

.'. Missing term = 6th term = 4th term + 5th term = 5

= 24 + 41 + 5 = 70.

44- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 97, 86, 73, 58, 45,

#### Options:

**A.**34

**B.**54

**C.**55

**D.**56

### Answer: ** A .** 34

**Justification:**The pattern is - 11, - 13, - 15, - 13,...

.'. Missin number = 45 -11 = 34.

.'. Missin number = 45 -11 = 34.

45- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 17, 19, 23, 29, , 37

#### Options:

**A.**31

**B.**33

**C.**35

**D.**36

### Answer: ** A .** 31

**Justification:**The given series consists of consecutive prime numbers starting from 17. The next prime number after 29 is 31.

So, the missing number is 31.

So, the missing number is 31.

46- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 5, 6, 9, 15, , 40

#### Options:

**A.**21

**B.**25

**C.**27

**D.**33

### Answer: ** B .** 25

**Justification:**The pattern is + 1, + 3, + 6,... i.e. + 1, + (1 + 2), + (1 + 2 + 3),...

.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.

.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.

47- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

3, 12, 27, 48, 75, 108, (……..)

#### Options:

**A.**147

**B.**162

**C.**183

**D.**192

### Answer: ** A .** 147

**Justification:**The numbers are 3 * 1

^{2}, 3 * 2^{2}

, 3 * 3

^{2}

, 3 * 4

^{2}

, 3 * 5

^{2}

, 3 * 6

^{2}

,.....

.'. Missing number = 3 * 7

.'. Missing number = 3 * 7

^{2}= 3 * 49 = 147.48- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 134, 245, 356, 467,

#### Options:

**A.**579

**B.**578

**C.**568

**D.**478

### Answer: ** B .** 578

**Justification:**Each term is obtained by adding 111 to the preceding term.

.'. Missing number = 467 + 111 = 578.

.'. Missing number = 467 + 111 = 578.

49- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 6, 13, 28,

#### Options:

**A.**56

**B.**57

**C.**58

**D.**59

### Answer: ** D .** 59

**Justification:**The pattern is * 2 + 1, * 2 + 2,....

.'. Missing number = 28 * 2 + 3 = 59.

.'. Missing number = 28 * 2 + 3 = 59.

50- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 563, 647, 479, 815,

#### Options:

**A.**672

**B.**386

**C.**279

**D.**143

### Answer: ** D .** 143

**Justification:**The pattern is + 84, - 168, + 336,..... i.e. + 84, - (84 * 2), + (84 * 2

.'. Missing number = 815 - (84 * 2

^{2}),....'. Missing number = 815 - (84 * 2

^{2}) = 815 - 672 = 143.51- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 11, 12, 17, 18, 23, 24,

#### Options:

**A.**12

**B.**29

**C.**30

**D.**35

### Answer: ** B .** 29

**Justification:**The given sequence is a combination of two series :

I. 11, 17, 23, (.....) and

II. 12, 18, 24.

The pattern in both I and II is + 6.

So, missing number = 23 + 6 = 29.

I. 11, 17, 23, (.....) and

II. 12, 18, 24.

The pattern in both I and II is + 6.

So, missing number = 23 + 6 = 29.

52- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 225, 336, 447, , 669, 7710

#### Options:

**A.**114

**B.**338

**C.**558

**D.**991

### Answer: ** C .** 558

**Justification:**The first two digits of the numbers in the given series are 22, 33, 44,..., 66, 77.

The third digit of the numbers from the series 5, 6, 7, ...., 9, 10.

So, the first two digits of the missing number are 55 and the third digit is 8.

.'. Missing number is 558

The third digit of the numbers from the series 5, 6, 7, ...., 9, 10.

So, the first two digits of the missing number are 55 and the third digit is 8.

.'. Missing number is 558

53- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

840, 168, 42, 14, 7, (…….)

#### Options:

**A.**1

**B.**7

**C.**9

**D.**12

### Answer: ** B .** 7

**Justification:**The pattern is + 5, + 4, + 3, + 2,....

.'. Missing number = 7 / 1 = 7.

.'. Missing number = 7 / 1 = 7.

54- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 5, 6, 7, 8, 10, 11, 14,

#### Options:

**A.**15

**B.**16

**C.**17

**D.**18

### Answer: ** A .** 15

**Justification:**The given sequence is a combination of two series :

I. 5, 7, 10, 14 and

II. 6, 8, 11, (....)

The pattern in both I and II is + 2, + 3, + 4,....

.'. Missing number = 11 + 4 = 15.

I. 5, 7, 10, 14 and

II. 6, 8, 11, (....)

The pattern in both I and II is + 2, + 3, + 4,....

.'. Missing number = 11 + 4 = 15.

55- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 0, 2, 3, 5, 8, 10, 15, 17, 24, 26,

#### Options:

**A.**35

**B.**32

**C.**30

**D.**28

### Answer: ** A .** 35

**Justification:**The given sequence is a combination of two series :

I. 0, 3, 8, 15, 24, (....) and

II. 2, 5, 10, 17, 26.

The pattern in both I and II is + 3, + 5, + 7, + 9,...

.'. Missing number = 24 + 11 = 35.

I. 0, 3, 8, 15, 24, (....) and

II. 2, 5, 10, 17, 26.

The pattern in both I and II is + 3, + 5, + 7, + 9,...

.'. Missing number = 24 + 11 = 35.

56- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 0, 4, 6, 3, 7, 9, 6, , 12

#### Options:

**A.**8

**B.**10

**C.**11

**D.**14

### Answer: ** B .** 10

**Justification:**The given sequence is a combination of three series :

I. 0, 3, 6

II. 4, 7, (...)

III. 6, 9, 12

The pattern in each of these series is = 3.

.'. Missing number = 7 + 3 = 10.

I. 0, 3, 6

II. 4, 7, (...)

III. 6, 9, 12

The pattern in each of these series is = 3.

.'. Missing number = 7 + 3 = 10.

57- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 1, 3, 9, 6, 36, 10, 100, , 225

#### Options:

**A.**15

**B.**16

**C.**20

**D.**22

### Answer: ** A .** 15

**Justification:**The given sequence is a combination of two series :

I. 1, 3, 6, 10, (....)

II. 1, 9, 36, 100, 225

The patternin I is + 2, + 3, + 4,...

The numbers in II are squares of the corresponding numbers of I.

.'. Missing number = 10 + 5 = 15.

I. 1, 3, 6, 10, (....)

II. 1, 9, 36, 100, 225

The patternin I is + 2, + 3, + 4,...

The numbers in II are squares of the corresponding numbers of I.

.'. Missing number = 10 + 5 = 15.

58- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11,

#### Options:

**A.**9

**B.**10

**C.**11

**D.**12

### Answer: ** B .** 10

**Justification:**The given sequence is a combination of three series :

I. 1st, 4th, 7th, 10th, 13th term i.e. 2, 4, 6, 8, (....)

II. 2nd, 5th, 8th, 11th term i.e., 1, 4, 7, 10

III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11.

Clearly, I consists of consecutive even numbers.

So, the missing number is 10.

I. 1st, 4th, 7th, 10th, 13th term i.e. 2, 4, 6, 8, (....)

II. 2nd, 5th, 8th, 11th term i.e., 1, 4, 7, 10

III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11.

Clearly, I consists of consecutive even numbers.

So, the missing number is 10.

59- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 4, 23, 60, 121,

#### Options:

**A.**212

**B.**221

**C.**241

**D.**242

### Answer: ** A .** 212

**Justification:**The numbers are 2

.'. Missing number = 6

^{3}- 4, 3^{3}- 4, 4^{3}- 4, 5^{3}- 4,.....'. Missing number = 6

^{3}- 4 = 216 - 4 = 212.60- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 1, 4, 2, 8, 6, 24, 22, 88,

#### Options:

**A.**86

**B.**90

**C.**154

**D.**352

### Answer: ** A .** 86

**Justification:**The pattern is * 4, - 2, * 4, - 2,....

.'. Missing number = 88 - 2 = 86.

.'. Missing number = 88 - 2 = 86.

61- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 13, 32, 24, 43, 35, , 46, 65, 57, 76

#### Options:

**A.**45

**B.**52

**C.**54

**D.**55

### Answer: ** C .** 54

**Justification:**The given sequence is a combination of two series :

I. 13, 24, 35, 46, 57 and

II. 32, 43, (....), 65, 76.

The pattern in both I and II is + 11.

.'. Missing number = 43 + 11 = 54.

I. 13, 24, 35, 46, 57 and

II. 32, 43, (....), 65, 76.

The pattern in both I and II is + 11.

.'. Missing number = 43 + 11 = 54.

62- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 4, 7, 7, 13, 13, 21, 22, 31, 44,

#### Options:

**A.**42

**B.**43

**C.**51

**D.**52

### Answer: ** B .** 43

**Justification:**The given sequence is a combination of two series :

I. Odd numbered terms i.e. 3, 7, 13, 21, 31, (....)

II. Even numbered terms i.e. 4, 7, 13, 22, 44.

The pattern in I is + 4, + 6, + 8, + 10,....

The pattern in II is + 3, + 6, + 9, + 12,.....

.'. Missing term = 31 + 12 = 43.

I. Odd numbered terms i.e. 3, 7, 13, 21, 31, (....)

II. Even numbered terms i.e. 4, 7, 13, 22, 44.

The pattern in I is + 4, + 6, + 8, + 10,....

The pattern in II is + 3, + 6, + 9, + 12,.....

.'. Missing term = 31 + 12 = 43.

63- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 3, 4, 7, 7, 13, 13, 21, 22, 31, 44,

#### Options:

**A.**42

**B.**43

**C.**51

**D.**52

### Answer: ** B .** 43

**Justification:**The given sequence is a combination of two series :

I. Odd numbered terms i.e. 3, 7, 13, 21, 31, (....)

II. Even numbered terms i.e. 4, 7, 13, 22, 44.

The pattern in I is + 4, + 6, + 8, + 10,....

The pattern in II is + 3, + 6, + 9, + 12,.....

.'. Missing term = 31 + 12 = 43.

I. Odd numbered terms i.e. 3, 7, 13, 21, 31, (....)

II. Even numbered terms i.e. 4, 7, 13, 22, 44.

The pattern in I is + 4, + 6, + 8, + 10,....

The pattern in II is + 3, + 6, + 9, + 12,.....

.'. Missing term = 31 + 12 = 43.

64- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 8, 9, 8, 7, 10, 9, 6, 11, 10, , 12

#### Options:

**A.**5

**B.**7

**C.**8

**D.**11

### Answer: ** A .** 5

**Justification:**The given sequence is a combination of three series :

I. 1st, 4th, 7th, 10th terms i.e. 8, 7, 6, (....)

II, 2nd, 5th, 8th, 11th term i.e. 9, 10, 11, 12.

III. 3rd, 6th, 9th term i.e. 8, 9, 10.

The pattern in I is - 1.

So, missing number = 6 - 1 = 5.

I. 1st, 4th, 7th, 10th terms i.e. 8, 7, 6, (....)

II, 2nd, 5th, 8th, 11th term i.e. 9, 10, 11, 12.

III. 3rd, 6th, 9th term i.e. 8, 9, 10.

The pattern in I is - 1.

So, missing number = 6 - 1 = 5.

65- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 90, 180, 12, 50, 100, 200, , 3, 50, 4, 25, 2, 6, 30, 3

#### Options:

**A.**150

**B.**175

**C.**225

**D.**250

### Answer: ** A .** 150

**Justification:**Clearly, 90 = 30 * 3, 180 = 6 * 30, 12 = 2 * 6, 50 = 25 * 2, 100 = 4 * 25, 200 = 50 * 4.

.'. Missing number = 3 * 50 = 150.

.'. Missing number = 3 * 50 = 150.

66- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

11, 10, (…….), 100, 1001, 1000, 10001

#### Options:

**A.**101

**B.**110

**C.**111

**D.**None of these

### Answer: ** A .** 101

**Justification:**The given sequence is a combination of two seires :

I. 11, (....), 1001, 10001 and

II. 10, 100, 1000.

In I, an extra zero is added between the two 1's.

So, the missing numberis 101.

I. 11, (....), 1001, 10001 and

II. 10, 100, 1000.

In I, an extra zero is added between the two 1's.

So, the missing numberis 101.

67- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 123456147, 12345614, 2345614, 234561,

#### Options:

**A.**3456

**B.**2345

**C.**23456

**D.**34561

### Answer: ** D .** 34561

**Justification:**The digits are removed one by one form the end as well as from the beginning in order so as to obtain the next term of the series.

68- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 4 / 9, 9 / 20, , 39 / 86

#### Options:

**A.**17 / 40

**B.**19 / 42

**C.**20 / 45

**D.**29 / 53

### Answer: ** B .** 19 / 42

**Justification:**The sequence in the numerators is + 5, + 10, + 20,.... and that in the denominators is + 11, + 22, + 44,...

So, the numerator of the missing fraction should be (9 + 10) i.e. 19 and the denominator shuld be (20 + 22) i.e. 42.

So, the numerator of the missing fraction should be (9 + 10) i.e. 19 and the denominator shuld be (20 + 22) i.e. 42.

69- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 2 / v5, 3 / 5, 4 / 5?5, 5 / 25,

#### Options:

**A.**6 / 5?5

**B.**6 / 25?5

**C.**6 / 125

**D.**25-Jul

### Answer: ** B .** 6 / 25?5

**Justification:**Clearly, the numerators of the given fraction are consecutive natural numbers.

So, the numerator of the missing fraction should be 6.

Also, the denominator of each fraction is multiplied by

So, the numerator of the missing fraction should be 6.

Also, the denominator of each fraction is multiplied by

√5 to obtain the denominator of the next fraction.

So, the denominator of the missing fraction should be 25√5.

So, the denominator of the missing fraction should be 25√5.

70- In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.

## 11 * 1 / 9, 12 * 1 / 2, 14 * 2 / 7, 16 * 2 / 3,

#### Options:

**A.**8 * 1 / 3

**B.**9 * 1 / 11

**C.**10

**D.**20

### Answer: ** D .** 20

**Justification:**The given sequence is 100 / 9,25 / 2, 100 / 7, 50 / 3, .... i.e., 100 / 9, 100 / 8, 100 / 7, 100 / 6,...

So, the missing term should be 100 / 5 i.e. 20.

So, the missing term should be 100 / 5 i.e. 20.