# Reasoning Number series set-2

Q 1. **36, 31, 29, 24, 22, 17, 15, … choose which pair of numbers comes next?**

A) 13, 11

B) 10, 5

C) 13, 8

D) 12, 7

E) 10, 8

Answer:** Option E**

Solution: This is an alternating subtraction series, which subtracts 5, then 2, then 5, and so on.

Q 2.

**3, 5, 35, 10, 12, 35, 17, … choose which pair of numbers comes next?**

A) 22, 35

B) 35, 19

C) 19, 35

D) 19, 24

E) 22, 24

Answer:** Option C**

Solution: This is an alternating addition series, with a random number, 35, interpolated as every third number. The pattern of addition is to add 2, add 5, add 2, and so on. The number 35 comes after each “add 2” step/

Q 3.

**13, 29, 15, 26, 17, 23, 19, … choose which pair of numbers comes next?**

A) 21, 23

B) 20, 21

C) 20, 17

D) 25, 27

E) 22, 20

Answer:** Option B**

Solution: Here, there are two alternating patterns, with every other number following a different pattern. The first pattern begins with 13 and adds 2 to each number to arrive at the next; the alternating pattern begins with 29 and subtracts 3 each time.

Q 4.

**14, 14, 26, 26, 38, 38, 50, … choose which pair of numbers comes next?**

A) 60, 72

B) 50, 62

C) 50, 72

D) 62, 62

E) 62, 80

Answer:** Option B**

Solution: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.

Q 5.

**44, 41, 38, 35, 32, 29, 26, … choose which pair of numbers comes next?**

A) 24, 21

B) 22, 19

C) 23, 19

D) 29, 32

E) 23, 20

Answer:** Option E**

Solution: This is a simple subtraction series, in which 3 is subtracted from each number to arrive at the next.

Q 6.

**34, 30, 26, 22, 18, 14, 10, … choose which pair of numbers comes next?**

A) 8, 6

B) 6, 4

C) 14, 18

D) 6, 2

E) 4, 0

Answer:** Option D**

Solution: This is a simple subtraction series, in which 4 is subtracted from each number to arrive at the next.

Q 7.

**32, 31, 32, 29, 32, 27, 32, … choose which pair of numbers comes next?**

A) 25, 32

B) 31, 32

C) 29, 32

D) 25, 30

E) 29, 30

Answer:** Option A**

Solution: This is an alternating repetition series. The number 32 alternates with a series in which each number decreases by 2.

Q 8.

**7, 9, 66, 12, 14, 66, 17, … choose which pair of numbers comes next?**

A) 19, 66

B) 66, 19

C) 19, 22

D) 20, 66

E) 66, 20

Answer:** Option A**

Solution: This is an alternating addition series with repetition, in which a random number, 66, is interpolated as every third number. The regular series adds 2, then 3, then 2, and so on, with 66 repeated after each “add 2” step.

Q 9.

**3, 8, 10, 15, 17, 22, 24, … choose which pair of numbers comes next?**

A) 26, 28

B) 29, 34

C) 29, 31

D) 26, 31

E) 26, 32

Answer:** Option C**

Solution: This is an alternating addition series that adds 5, then 2, then 5, and so on.

Q 10.

**4, 7, 26, 10, 13, 20, 16, … choose which pair of numbers comes next?**

A) 14, 4

B) 14, 17

C) 18, 14

D) 19, 13

E) 19, 14

Answer:** Option E**

Solution: Two patterns alternate here, with every third number following the alternate pattern. In the main series(1st series) 4, 7, 10,13, 16 ….. beginning with 4, 3 is added to each number to arrive at the next.

Secondary series (2nd series): 26, 20, … beginning with 26, 6 is subtracted from each number to arrive at the next. Therefore Next two number is 19(from 1st series), 14(from 2nd series).

19,14

Q 11.

**32, 29, 26, 23, 20, 17, 14, … choose which pair of numbers comes next?**

A) 11, 8

B) 12, 8

C) 11, 7

D) 32, 29

E) 10, 9

Answer:** Option A**

Solution: In this simple subtraction series, the numbers decrease by 3.

Q 12.

**16, 26, 56, 36, 46, 68, 56, … choose which pair of numbers comes next?**

A) 80, 66

B) 64, 82

C) 66, 80

D) 78, 68

E) 66, 82

Answer:** Option C**

Solution: Here, every third number follows a different pattern from the main series. In the main series, beginning with 16, 10 is added to each number to arrive at the next. In the alternating series, beginning with 56, 12 is added to each number to arrive at the next.

Q 13.

**2, 44, 4, 41, 6, 38, 8, … choose which pair of numbers comes next?**

A) 10, 12

B) 35, 32

C) 34, 9

D) 35, 10

E) 10, 52

Answer:** Option D**

Solution: Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3.

Q 14.

**17, 32, 19, 29, 21, 26, 23, … choose which pair of numbers comes next?**

A) 25, 25

B) 20, 22

C) 23, 25

D) 25, 22

E) 27, 32

Answer:** Option C**

Solution: Here, there are two alternating patterns. The first begins with 17 and adds 2; the second begins with 32 and subtracts 3.

Q 15.

**17, 14, 14, 11, 11, 8, 8, … choose which pair of numbers comes next?**

A) 8, 5

B) 5, 2

C) 8, 2

D) 5, 5

E) 5, 8

Answer:** Option A**

Solution: First number of a 2nd pair is the second number of the previous pair and difference between each pair number is 3.

1st Pair 17,14

2nd Pair 14,11

3rd pair 11,8

4th pair 8,5

5th pair 5,2

Q 16.

**10, 34, 12, 31, 14, 28, 16, … choose which pair of numbers comes next?**

A) 25, 18

B) 30, 13

C) 19, 26

D) 18, 20

E) 25, 22

Answer:** Option A**

Solution: Two patterns alternate here. The first pattern begins with 10 and adds 2 to each number to arrive at the next; the alternating pattern begins with 34 and subtracts 3 each time.

Q 17.

**11, 14, 14, 17, 17, 20, 20, … choose which pair of numbers comes next?**

A) 23, 23

B) 23, 26

C) 21, 24

D) 24, 24

E) 24, 27

Answer:** Option A**

Solution: This is a simple addition series with repetition. It adds 3 to each number to arrive at the next, which is repeated before 3 is added again.

Q 18.

**F2, __, D8, C16, B32 What number should fill the blank?**

A) A16

B) G4

C) E4

D) E3

Answer:** Option C**

Solution: The letters decrease by 1; the numbers are multiplied by 2.

Q 19.

**664, 332, 340, 170, ____, 89. What number should fill the blank?**

A) 85

B) 97

C) 109

D) 178

Answer:** Option D**

Solution: This is an alternating division and addition series: First, divide by 2, and then add 8.

Q 20.

**V, VIII, XI, XIV, __, XX. What number should fill the blank?**

A) IX

B) XXIII

C) XV

D) XVII

Answer:** Option D**

Solution: This is a simple addition series; each number is 3 more than the previous number.

Q 21.

**70, 71, 76, __, 81, 86, 70, 91. What number should fill the blank?**

A) 70

B) 71

C) 80

D) 96

Answer:** Option A**

Solution: In this series, 5 is added to the previous number; the number 70 is inserted as every third number.

Q 22.

**8, 43, 11, 41, __, 39, 17. What number should fill in the blank?**

A) 8

B) 14

C) 43

D) 44

Answer:** Option B**

Solution: This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2.

Q 23.

**VI, 10, V, 11, __, 12, III. What number should fill the blank?**

A) II

B) IV

C) IX

D) 14

Answer:** Option B**

Solution: This is an alternating addition and subtraction series. Roman numbers alternate with Arabic numbers. In the Roman numeral pattern, each number decreases by 1. In the Arabic numeral pattern, each number increases by 1.

Q 24.

**(1/9), (1/3), 1, ____ , 9. What number should fill the blank?**

A) (2/3)

B) 3

C) 6

D) 27

Answer:** Option B**

Solution: This is a multiplication series; each number is 3 times the previous number.

Q 25.

**83, 73, 93, 63, __, 93, 43. What number should fill the blank?**

A) 33

B) 53

C) 73

D) 93

Answer:** Option B**

Solution: This is a simple subtraction series in which a random number, 93, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next.

Q 26.

**15, __, 27, 27, 39, 39. What number should fill the blank?**

A) 51

B) 39

C) 23

D) 15

Answer:** Option D**

Solution: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.

Q 27.

**72, 76, 73, 77, 74, __, 75. What number should fill the blank?**

A) 70

B) 71

C) 75

D) 78

Answer:** Option D**

Solution: This series alternates the addition of 4 with the subtraction of 3.

Q 28.

**J14, L16, __, P20, R22. What number should fill the blank?**

A) S24

B) N18

C) M18

D) T24

Answer:** Option B**

Solution: In this series, the letters progress by 2, and the numbers increase by 2.

Q 29.

**4, 7, 25, 10, __, 20, 16, 19. What number should fill the blank?**

A) 13

B) 15

C) 20

D) 28

Answer:** Option A**

Solution: Two series alternate here, with every third number following a different pattern. In the main series, 3 is added to each number to arrive at the next. In the alternating series, 5 is subtracted from each number to arrive at the next.

Q 30.

**XXIV, XX, __, XII, VIII. What number should fill the blank?**

A) XXII

B) XIII

C) XVI

D) IV

Answer:** Option C**

Solution: This is a simple subtraction series; each number is 4 less than the previous number.

Q 31.

**0.15, 0.3, ____, 1.2, 2.4. What number should fill the blank?**

A) 4.8

B) 0.006

C) 0.6

D) 0.9

Answer:** Option C**

Solution: This is a simple multiplication series. Each number is 2 times greater than the previous number.

Q 32.

**U32, V29, __, X23, Y20. What number should fill the blank?**

A) W26

B) W17

C) Z17

D) Z26

Answer:** Option A**

Solution: In this series, the letters progress by 1; the numbers decrease by 3.

Q 33.

**Find the missing number: 3, 7, 15 ,?, 63 ,127**

A) 30

B) 31

C) 47

D) 52

Answer:** Option B**

Solution: Each number in the series is one more than twice the preceding number.So, the missing term = (15 x 2) + 1 = 31

Q 34.

**Find the missing term: 4 ,7, 12, 19, 28, ?**

A) 30

B) 36

C) 39

D) 49

Answer:** Option C**

Solution: The pattern is +3,+5,+7,+9,…………So, missing term=(28+11)=39

Q 35.

**Find the missing term: 4, 10, ?, 82, 244, 730**

A) 24

B) 28

C) 77

D) 218

Answer:** Option B**

Solution: Each number in the series is 2 less than thrice the preceding number. So, missing number = (10 x 3) – 2 = 28

Q 36.

**Find the missing term: 11, 13, 17, 19, 23, 25, ?**

A) 26

B) 27

C) 29

D) 37

Answer:** Option C**

Solution: The pattern is +2,+4,+2,+4,

So, missing term = 25 + 4 = 29

Q 37.

**Find the missing term: 6, 13, 25, 51, 101. ?**

A) 201

B) 202

C) 203

D) 205

Answer:** Option C**

Solution: The pattern is x2+1,×2-1,×2+1,×2-1.x……………….So, missing term =101×2+1=203

Q 38.

**Find the missing term: 6, 12, 21, ?, 48**

A) 33

B) 38

C) 40

D) 45

Answer:** Option A**

Solution: The pattern is +6, +9, +12, +15……………So, missing term=21+12=33

Q 39.

**Find the missing term: 8, 28, 116, 584 , ?**

A) 1752

B) 3502

C) 3504

D) 3508

Answer:** Option D**

Solution: The pattern is x3+4, x4+4, x5+4,……………So, missing term=584×6+4=3508

Q 40.

**Find the missing term: 2, 5, 9, ?, 20, 27**

A) 14

B) 16

C) 18

D) 24

Answer:** Option A**

Solution: The pattern is +3, +4, +5, +6,……..So, missing term=9+5=14

Q 41.

**Find the missing term 6, 13, 28, 59, ?**

A) 111

B) 113

C) 114

D) 122

Answer:** Option D**

Solution: The pattern is x2+1 ,x2+2, x2+3,……..So, missing term=59×2+4=122

Q 42.

**Find the missing term: 6, 11, 21, 36, 56, ?**

A) 42

B) 51

C) 81

D) 91

Answer:** Option C**

Solution: The pattern is +5, +10, +15, +20,……..So, missing term=56+25=81

Q 43.

**Find the missing term: 3, 7, 23, 95, ?**

A) 62

B) 128

C) 479

D) 575

Answer:** Option C**

Solution: The pattern is � 2+1, � 3+2, � 4+3……. So, missing term= 95 � 5 + 4 = 479

Q 44.

**Find the missing term: 10, 18, 28, 40, 54, 70, ?**

A) 85

B) 86

C) 87

D) 88

Answer:** Option D**

Solution: The pattern is +8, +10, +12, +14,……..So, missing term=70+18=88

Q 45.

**Find the missing term: 2, 7, 27, 107, 427, ?**

A) 1262

B) 1707

C) 4027

D) 4207

Answer:** Option B**

Solution: The pattern is +5, +20, +80, +320 i.e. +(5 � 12 ), +(5 � 22 ), +(5 � 42 ), +(5 � 82 ) So, missing term = 427 + +(5 � 162 ) = 427 +1280 = 1707

Q 46.

**Find the missing term: 120, 99, 63, 48, ?**

A) 35

B) 38

C) 39

D) 40

Answer:** Option A**

Solution: The pattern is -21, -19, -17, 15,…………………….. So, missing term = 48 – 13 = 35

Q 47.

**Find the missing term: 2, 3, 8, 27, 112, ?**

A) 226

B) 339

C) 452

D) 565

Answer:** Option D**

Solution: The pattern is �1 + 1, � 2 + 2, � 3 + 3, � 4 + 4……….. So, the missing term = 122 � 5 + 5 = 565

Q 48.

**Find the missing term: 22, 24, 28, ?, 52, 84**

A) 36

B) 38

C) 42

D) 46

Answer:** Option A**

Solution: The pattern is + 2, + 4, + 8, +16,………… So, the missing term = 28 + 8 = 36

Q 49.

**Find the missing term: 1, 5, 14, 30, 55, 91,?**

A) 130

B) 140

C) 150

D) 160

Answer:** Option B**

Solution: The pattern is + 4, + 9, + 6, + 25, + 36,……..i.e.,+ 22 ,+ 32 + 42 + 52 + 62 ……… So, the missing term = 91 + 72 = 91+ 49 = 140

Q 50.

**Find the missing term: 4832, 5840, 6848, ?**

A) 7815

B) 7846

C) 7856

D) 7887

Answer:** Option C**

Solution: The pattern is + 1008. So, the missing term = 6848 + 1008 = 7856.

Q 51.

**Find the missing term: 198, 194, 185, 169, ?**

A) 92

B) 112

C) 136

D) 144

Answer:** Option D**

Solution: The pattern is – 4, – 9, – 16,…..i.e., – 22, – 32 , – 42 ,………….. So, the missing term = 169 – 52 = 169 – 25 = 144

Q 52.

**Find the missing term: 10, 100, 200, 310. ?**

A) 400

B) 410

C) 420

D) 430

Answer:** Option D**

Solution: The pattern is + 90, + 100, + 110…… So, the missing term = 310 + 120 = 430

Q 53.

**Find the missing term: 2, 2, 5, 13, 28, ?**

A) 49

B) 50

C) 51

D) 52

Answer:** Option D**

Solution: The pattern is + 0, + 3, + 8, + 15,………….i.e.,+ (12 – 1) , + (22 – 1), + (32 – 1), + (42 – 1),……………. So, the missing term = 28 + (52 – 1) = 28 + 24 = 52

Q 54.

**Find the missing term: 0, 2, 8, 14, ?, 34**

A) 20

B) 23

C) 24

D) 25

Answer:** Option C**

Solution: The pattern is + 2, + 6, + 6, + 10, +10,….. So, the missing term = 14 + 10 =24

Q 55.

**Find the missing term: 20, 60, 120, 210, ?**

A) 300

B) 336

C) 420

D) 525

Answer:** Option B**

Solution: The pattern is + 36, + 60, + 90, ……i.e., + [6 � (6 + 0)],+ [6 � (6 + 4)],+ [6 � (6 + 9)]………. So, the missing term = 210 ++ [6 � (6 + 15)] = 210 +126 = 336

Q 56.

**Find the missing term: 28, 33, 31, 36, ?, 39**

A) 32

B) 34

C) 38

D) 40

Answer:** Option B**

Solution: The pattern is + 5, – 2, + 5, – 2,…….. So, missing term = 36 – 2 = 34

Q 57.

**Find the missing term: 5760, 960, ?, 48, 48, 16, 8**

A) 120

B) 160

C) 192

D) 240

Answer:** Option C**

Solution: The pattern is � 6, � 5, � 4, � 3, � 2 So, missing term = 960 � 5= 192

Q 58.

**Find the missing term: 125, 80, 45, 20, ?**

A) 5

B) 8

C) 10

D) 12

Answer:** Option A**

Solution: The pattern is – 45, – 35, – 25,…….. So, missing term = 20 – 15 = 5

Q 59.

**Find the missing term: 1, 2, 6, 7, 21, 22, 66, 67, ?**

A) 70

B) 134

C) 201

D) 301

Answer:** Option C**

Solution: The pattern is + 1, � 3, + 1, � 3, + 1, � 3, + 1,…………. So, missing term = 67 � 3 = 201

Q 60.

**Find the missing term: 1, 5, 13, 25, 41, ?**

A) 51

B) 57

C) 61

D) 63

Answer:** Option C**

Solution: The pattern is + 4, + 8, + 12, + 16,………. So, missing term = 41 + 20 = 61

Q 61.

**Find the missing term: 48, 24, 96, 48, 192, ?**

A) 76

B) 90

C) 96

D) 98

Answer:** Option C**

Solution: The pattern is � 2, � 4, � 2, � 4,……….. So, missing term = 192 � 2 = 96

Q 62.

**Find the missing number:- 2, 15, 41, 80, ?**

A) 111

B) 120

C) 121

D) 132

Answer:** Option D**

Solution: The pattern is + 13, + 26, + 39,…. So, missing term = 80 + 52 = 132

Q 63.

**Find the missing term: 1, 2, 3, 6, 9, 18, ?, 54**

A) 18

B) 27

C) 36

D) 81

Answer:** Option B**

Solution: The pattern is � 2, � 3/2, � 2, � 3/2, � 2,………….So, missing term = 18 � 3/2 = 27

Q 64.

**Find the missing term: 6, 17, 39, 72, ?**

A) 83

B) 94

C) 116

D) 127

Answer:** Option C**

Solution: The pattern is + 11, + 22, + 33,………….. So, missing term = 72 + 44 = 116

Q 65.

**Find the missing term: 66, 36, 18, ?**

A) 3

B) 6

C) 8

D) 9

Answer:** Option C**

Solution: Each term in the series is the product of the digits of the preceding term.So, missing term = 1 � 8 = 8

Q 66.

**Find the missing term: 325, 259, 204, 160, 127, 105, ?**

A) 94

B) 96

C) 98

D) 100

Answer:** Option A**

Solution: The pattern is – 66, – 55, – 44, -33, – 22,…………… So, missing term = 105 – 11 = 94

Q 67.

**Find the missing term: 165, 195, 255, 285, 345, ?**

A) 375

B) 390

C) 420

D) 435

Answer:** Option D**

Solution: Each number of the series is 15 multiplied by a prime number i.e., 15 � 11, 15 � 13, 15 � 17, 15 � 19, 15 � 23,………….. So, missing term = 15 � 29 = 435

Q 68.

**Find the missing term: 1, 4, 10, 22, 46, ?**

A) 64

B) 86

C) 94

D) 122

Answer:** Option C**

Solution: The pattern is + 3, + 6, + 12, + 24,…………. So, missing term = 46 + 48 = 94

Q 69.

**Find the missing term: 3, 12, 27, 48, 75, 108, ?**

A) 147

B) 162

C) 183

D) 192

Answer:** Option A**

Solution: The terms of the given series are 3 � 12 , 3 � 22 , 3 � 32 , 3 � 42 , 3 � 52 , 3 � 62 ,…………… So, missing term = 3 �72 = 3 � 49 =147

Q 70.

**Find the missing term: 7, 26, 63, 124, 215, 342, ?**

A) 391

B) 421

C) 481

D) 511

Answer:** Option D**

Solution: The terms of the given series are (23 – 1), (33 – 1), (43 – 1 ), (53 – 1), (63 – 1), (73 – 1),……….So, missing term = (83 – 1) = (512 – 1) = 511.