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51.

4, ?, 78, 276, 8881). 162). 223). 274). 18

Answer»

4,

(4 + 2) × 3 = 18

(18 + 8) × 3 = 78

(78 + 14) × 3 = 276

(276 + 20) × 3 = 888
Discussion
52.

1). 2322). 2393). 2384). 236

Answer»

The pattern of given series is:

⇒ 7 × 1 + 1 = 8,

⇒ 8 × 2 + 2= 18,

⇒ 18 X 3 + 3 = 54 + 3 = 57,

⇒ 57 × 4 + 4 = 228 + 4 = 232,

⇒ 232 ×? 5 + 5= 1160 + 5 = 1165,

⇒ ? = 232
Discussion
53.

1). 19782). 3313). 139594). 15

Answer»

As per the SERIES given in the question, it is CLEAR that it follows a pattern of:

15 × 4 + 5 = 65

65 × 5 + 6 = 331

331 × 6 + 7 = 1993 ≠ 1978

1993 × 7 + 8 = 13959

15, 65, 331, 1978, 13959 all these follow the pattern, except 1978. Hence, 1978 is INCORRECT.
Discussion
54.

5, 12, 21, 32, ?, 601). 402). 363). 454). 54

Answer»

The pattern of the given series :

⇒ 5 + 7 = 12

⇒ 12 + 9 = 21

⇒ 21 + 11 = 32

⇒ 32 + 13 = 45 = ?

⇒ 45 + 15 = 60

∴ The MISSING number of the series = 45
Discussion
55.

1). 492). 443). 484). 47

Answer»

The pattern of given series is:

→ 180 – 1 = 179,

→ 179 + 22 = 179 + 4 = 183,

→ 183 – 33 = 183 – 27 = 156,

→ 156 + 42 = 156 + 16 = 172,

→ 172 – 53 = 172 – 125 = 47

⇒ ? ?= 47
Discussion
56.

6, 9, 15, 27, 51, ?1). 842). 993). 1234). 75

Answer»

The GIVEN series,

⇒ 6 + 3 = 9

⇒ 9 + 6 = 15

⇒ 15 + 12 = 27

⇒ 27 + 24 = 51

⇒ 51 + 48 = 99 = ?
Discussion
57.

1). 602). 663). 824). 80

Answer»

The pattern of GIVEN series is:

⇒ 9 × 0.5 + 0.5 = 5

⇒ 5 × 1 + 1 = 6

⇒ 6 × 1.5 + 1.5 = 10.5

⇒ 10.5 × 2 + 2 = 23

⇒ 23 × 2.5 + 2.5 = 60 = ?
Discussion
58.

1). 1562). 1583). 1624). 168

Answer»

The pattern of the GIVEN series is:

16 = 16 + 0 × 1

22 = 16 + 2 × 3

42 = 22 + 4× 5

84 = 42 + 6 × 7

∴ 84 + 8 × 9 = 156 =?
Discussion
59.

1). 10000112). 10000013). 10000214). 100031

Answer»

The pattern of given series is:

⇒ 12 + 9 = 21

⇒ 21 + 90 = 111

⇒ 111 + 900 = 1011

⇒ 1011 + 9000 = 10011

⇒ 10011 + 90000 = 100011

⇒ 100011 + 900000 = 1000011
Discussion
60.

6, 3.5, 4.5, 11, ?, 3921). 662). 483). 454). 35

Answer»

⇒ 6 × 0.5 + 0.5 = 3.5

⇒ 3.5 × 1 + 1 = 4.5

⇒ 4.5 × 2 + 2 = 11

⇒ 11 × 4 + 4 = 48 = ?

⇒ 48 × 8 + 8 = 392
Discussion
61.

1). \(\frac{{10}}{{1000}}\)2). \(\frac{{100}}{{1900}}\)3). \(\frac{{10}}{{900}}\)4). \(\frac{{10}}{{800}}\)

Answer»

The pattern of the given series is as follows:

$(\begin{array}{l} \Rightarrow \frac{{50}}{{500}} = \frac{1}{{10}}\\ \Rightarrow \frac{{40}}{{1200}} = \frac{1}{{30}}\\ \Rightarrow \frac{{30}}{{1500}} = \frac{1}{{50}}\\ \Rightarrow \frac{{20}}{{1400}} = \frac{1}{{70}}\\ \Rightarrow \frac{{10}}{{900}} = \frac{1}{{90}} \end{array})$
Discussion
62.

81, 192, 375, 648, ?1). 10292). 13763). 14424). 1138

Answer»

The PATTERN of the above problem is:

First Term, 81 = (9)2 – (0)2

Second term, 192 = (14)2 – (2)2 = (9 + 5)2 – (0 + 2)2

Third Term, 375 = (20)2 – (5)2 = (14 + 6)2 – (2 + 3)2

Fourth Term, 648 = (27)2 – (9)2 = (20 + 7)2 – (5 + 4)2

∴ Fifth Term, ? = (27 + 8)2 – (9 + 5)2 = (35)2 – (14)2 = 1029
Discussion
63.

512, 343, 216, ?, 641). 1452). 1353). 1404). 125

Answer»

43 = 64

53 = 125

63 = 216

73 = 343

83 = 512
Discussion
64.

6, 30, 160, 820, ?1). 39982). 41303). 41024). 4054

Answer»

6,

(6 + 0) × 5 = 30

(30 + 2) × 5 = 160

(160 + 4) × 5 = 820

(820 + 6) × 5 = 4130
Discussion
65.

1). 652). 853). 754). 55

Answer»

The pattern of the given series is:

⇒ 13 - 12 - 1 = -1

⇒ 23 - 22 - 2 = 2

⇒ 33 - 32 - 3 = 15

⇒ 43 - 42 - 4 = 44

⇒ 53 - 52 - 5 = 95 = ?
Discussion
66.

1). 1162). 1263). 1324). 112

Answer»

Solution :

Given series : 11 , 14 , 22 , 40 , 73 , ?

The above series follow the pattern,

3 => 3 + 11 = 14

(3 + 5) = 8 => 8 + 14 = 22

(8 + 10) = 18 => 18 + 22 = 40

(18 + 15) = 33 => 33 + 40 = 73

(33 + 20) = 53 => 53 + 73 = 126 

So, the correct OPTION is 2). 126
Discussion
67.

12, 27, ?, 75, 1081). 252). 483). 814). 53

Answer»

22 × 3 = 12

32 × 3 = 27

42 × 3 = 48

52 × 3 = 75

62 × 3 = 108
Discussion
68.

1). 8422). 9723). 9344). 876

Answer»

4,

4 × 3 = 12

12 × 3 = 36

36 × 3 = 108

108 × 3 = 324

324 × 3 = 972
Discussion
69.

1). 72). 1883). 574). 37

Answer»

⇒ 1 + 22 + 2 = 7

⇒ 7 + 33 + 3 = 37

⇒ 37 + 42 + 4 = 57

⇒ 57 + 53 + 5 = 187

⇒ 187 + 62 + 6 = 229

∴ Wrong number in series = 188
Discussion
70.

1). 502). 523). 564). 64

Answer»

The pattern of the given PROBLEM is:

2 + (12 – 1) = 2

2 + (22 – 1) = 5

5 + (32 – 1) = 13

13 + (42 – 1) = 28

∴ ? = 28 + (52 – 1) = 52
Discussion
71.

1). 1322). 1983). 1924). 190

Answer»

The SERIES follows the following pattern:

6 × 0.5 = 3

3 × 1 = 3

3 × 2 = 6

6 × 4 = 24

24 × 8 = 192 = ?

∴ The missing TERM is 192. $
Discussion
72.

4, 12, 28, 60, 124, ?1). 2662). 2363). 2524). 275

Answer»

⇒ 4 × 2 + 4 = 12

⇒ 12 × 2 + 4 = 28

⇒ 28 × 2 + 4 = 60

⇒ 60 × 2 + 4 = 124

⇒ 124 × 2 + 4 = 252 = ?
Discussion
73.

5, 17, 43, 89, ?1). 1692). 1503). 1614). 155

Answer»

⇒ 13 + 22 = 1 + 4 = 5

⇒ 23 + 32 = 8 + 9 = 17

⇒ 33 + 42 = 27 + 16 = 43

⇒ 43 + 52 = 64 + 25 = 89

⇒ 53 + 62 = 125 + 36 = 161 = ?
Discussion
74.

540, 547, 1100, 3305, ?1). 136242). 132143). 132244). 13524

Answer»

The pattern of the given series:

⇒ 540 × 1 + 7 = 547

⇒ 547 × 2 + 6 = 1100

⇒ 1100 × 3 + 5 = 3305

⇒ 3305 × 4 + 4 = 13224 = ?

∴ The missing NUMBER of the series = 13224
Discussion
75.

1). 1442). 923). 1284). 112

Answer»

The PATTERN of the given series is:

⇒ 16 × 0.5 - 1 = 8 - 1 = 7

⇒ 7 × 1 - 2 = 7 - 2 = 5

⇒ 5 × 2 - 4 = 10 - 4 = 6

⇒ 6 × 4 - 8 = 24 - 8 = 16

⇒ 16 × 8 - 16 = 128 - 16 = 112 = ?
Discussion
76.

12, 20, 72, ?, 89281). 1442). 5603). 44644). 2304

Answer»

12,

12 × 2 - 4 = 20

20 × 4 - 8 = 72

72 × 8 - 16 = 560 = ?

560 × 16 - 32 = 8928
Discussion
77.

5, 12, 39, 200, 1407, ?1). 3549992). 2345333). 154884). 150164

Answer»

The series FOLLOWS the following pattern:

(5 × 2) + 2 = 12

(12 × 3) + 3 = 39

(39 × 5) + 5 = 200

(200 × 7) + 7 = 1407

⇒ According to the logic the next NUMBER after 1407 is (1407 × 11) + 11 = 15488
Discussion
78.

1). 1282). 183). 984). 82

Answer»

⇒ 12 + 12 = 2

⇒ 22 + 22 = 8

⇒ 32 +32 = 18

⇒ 42 + 42 = 32

⇒ 52 + 52 = 50

⇒ 62 + 62 = 72 = wrong term

⇒ 72 + 72 = 98

⇒ 82 + 82 = 128
Discussion
79.

5, 12, 17, 29, 46, 75, 121, ?1). 1962). 1923). 1854). 188

Answer»

The PATTERN of the GIVEN series is a Fibonacci series. Every number from third number is a sum of the previous TWO numbers.

⇒ 17 = 5 + 12

⇒ 29 = 17 + 12

⇒ 46 = 29 + 17

⇒ 75 = 46 + 29

⇒ 121 = 75 + 46

⇒ 196 = 121 + 75 = ?
Discussion
80.

4, 12, 45, 196, ?1). 7642). 8443). 5764). 984

Answer»

The PATTERN of the above problem is:

Second term, 12 = 4 × 2 + 22

Third Term, 45 = 12 × 3 + 32

Fourth Term, 196 = 45 × 4 + 42

∴ FIFTH Term, ? = 196 × 5 + 52 = 1005
Discussion
81.

1). 172). 233). 554). 85

Answer»

⇒ 17 + 2 × 3 = 23

⇒ 23 + 3 × 4 = 35

⇒ 35 + 4 × 5 = 55

⇒ 55 + 5 × 6 = 85

⇒ 85 + 6 × 7 = 127

∴ Wrong number in series = 125
Discussion
82.

1). 8452). 8753). 8654). 885

Answer»

We have,

762 – 656 = 106

656 – 557 = 99

557 – 465 = 92

The difference between successive terms is decreasing by 7. Hence, the second TERM MUST be greater than the third term by 106 + 7 = 113.

So, the term is = 762 + 113 = 875
Discussion
83.

98, ?, 46, 88, 3441). 482). 233). 1964). 110

Answer»

98,

98 × 0.5 - 1 = 48

48 × 1 - 2 = 46

46 × 2 - 4 = 88

88 × 4 - 8 = 344
Discussion
84.

41472, 5184, 576, 72, 8, ?1). 02). 93). 14). 8

Answer»

The above pattern MAY be evaluated as:

→ 41472

→ 41472/8 = 5184

→ 5184/9 = 576

→ 576/8 = 72

→ 72/9 = 8

Hence the NEXT number MUST be,

→ 8/8 = 1

∴The required TERM in the given number series is 1.
Discussion
85.

4, 6, 8, 12, 12, 18, 16, ?1). 182). 303). 204). 24

Answer»

Here we have two alternate SERIES:

(4, 8, 12, 16) and (6, 12, 18, ?)

∴ ? = 24 will be the missing term.
Discussion
86.

1). 26802). 16803). 28804). 2400

Answer»

4 × 2 = 8

8 × 3 = 24

24 × 4 = 96

96 × 5 = 480

480 × 6 = 2880 = ? 
Discussion
87.

20, ?. 42, 56, 721). 402). 503). 454). 30

Answer»

42 + 4 = 20

52 + 5 = 30

62 + 6 = 42

72 + 7 = 56

82 + 8 = 72
Discussion
88.

1). 4462). 4563). 4154). 425

Answer»

4,

4 × 5 - 1= 19

19 × 4 - 1 = 75

75 × 3 - 1 = 224

224 × 2 - 1 = 447

447 × 1 - 1 = 446
Discussion
89.

700, 674, 611, 487, 272, ?1). 1702). -703). -714). 40

Answer»

The pattern of given series is:

⇒ 700,

⇒ 674 = 700 – 33 + 1,

⇒ 611 = 674 – 43 + 1,

⇒ 487 = 611 – 53 + 1,

⇒ 272 = 487 – 63 + 1,

⇒ ? = 272 – 73 + 1,

⇒ ? = -70

Thus, the missing number is - 70
Discussion
90.

1, 5, 11, 19, 29, 40, 55, 711). 402). 553). 194). 71

Answer»

The GIVEN series is in following pattern:

1

1 + 2 × 2 = 5

5 + 2 × 3 = 11

11 + 2 × 4 = 19

19 + 2 × 5 = 29

29 + 2 × 6 = 41 ≠ 40

41 + 2 × 7 = 55

55 + 2 × 8 = 71

So, the wrong term is 40.
Discussion
91.

1). 232). 223). 254). 27

Answer»

8 × 3 = 24

24 ÷ 2 = 12

12 × 3 = 36

36 ÷ 2 = 18

18 × 3 = 54

54 ÷ 2 = (27)
Discussion
92.

1). 2112). 2123). 2154). 218

Answer»

The pattern of GIVEN series is:

→3 + 7 = 10,

→10 + 10 (7 + 3) = 20,

→20 + 19 (10 + 9) = 39,

→39 + 46 (19 + 27) = 85,

→85 + 127 (46 + 81) = 212

⇒??= 212

 
Discussion
93.

1). 227202). 2593). 184). 2096

Answer»

The pattern of the given problem is:

144 = 26 × 6 – 12

590 = 144 × 4 + 14

1164 = 590 × 2 – 16

18 = 1164 × 0 + 18 = ?
Discussion
94.

17, 21, 30, 46, 71, ?1). 1052). 1073). 1004). 115

Answer»

⇒ 17 + 22 = 21

⇒ 21 + 32 = 30

⇒ 30 + 42 = 46

⇒ 46 + 52 = 71

⇒ 71 + 62 = 107

∴ Answer is 107
Discussion
95.

1). 222). 103). 214). 14

Answer»

The PATTERN of the GIVEN problem is:

9 = 20 × 0.5 - 1

8 = 9 × 1 - 1

11 = 8 × 1.5 - 1

21 = 11 × 2 - 1 = ?
Discussion
96.

1). 32). 53). 16 at 5th position4). 15

Answer»

3 = 12 × 0.25

⇒ 5 = 10 × 0.5

⇒ 8 = 8 × 1

⇒ 15 ≠ 6 ×? 2 (not following the logic USED in the series)

⇒ 16 = 4 × 4

⇒ 16 = 2 × 8

The logic is that the first number is decreasing by value 2 and the number MULTIPLIED to it, is getting doubled after each term.

∴ 15 is the wrong term in the series.
Discussion
97.

1). 162). 263). 154). 25

Answer»

⇒ 6 × 1 – 2 = 4

⇒ 4 × 2 – 2 = 6

⇒ 6 × 3 – 2 = 16 = ?

⇒ 16 × 4 – 2 = 62

⇒ 62 × 5 – 2 = 308
Discussion
98.

5000, 6655, 8640, ?, 137201). 432002). 109853). 27444). 22972

Answer»

103 × 5 = 5000

113 × 5 = 6655

123 × 5 = 8640

133 × 5 = 10985

143 × 5 = 13720
Discussion
99.

3, 5, 13, 19, 31, 41, ?1). 522). 553). 574). 61

Answer»

The pattern is as FOLLOWS;

⇒ 3 = 12 + 1 + 1

⇒ 5 = 22 + 2 - 1

⇒ 13 = 32 + 3 + 1

⇒ 19 = 42 + 4 - 1

⇒ 31 = 52 + 5 + 1

⇒ 41 = 62 + 6 - 1

⇒ 57 = 72 + 7 + 1 = ?

∴ ? = 57
Discussion