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101.

8, 28, 116, 584, ?

Answer» The pattern is x 3 + 4, x 4 + 4, x 5 + 4,..... So, missing term = 584 x 6 + 4 = 3508.
102.

_ stt _ tt _ tts _

Answer» The series is tst/tst/tst/tst. Thus, the pattern 'tst' is repeated.
103.

gfe _ ig _ eii _ fei _ gf_ ii

Answer» The series is gfeii/gfeii/gfeii/gfeii. Thus, the pattern 'gfeii' is repeated.
104.

_ a _ b _ abaa _ bab _ abb

Answer» The series is baa/bba/baa/bba/baa/bb. Thus, the pattern baa/bba is repeated.
105.

abca _ bcaab _ ca _ bbc _ a

Answer» The series is abc/aabc/aabbc/aabbcc/a.
106.

_ tu _ rt _ s _ _ usrtu _

Answer» The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.
107.

WFB, TGD, QHG, ?

Answer»
108.

AZ, GT, MN, ?, YB

Answer»
109.

H, I, K, N, ?

Answer»
110.

Z, S, W, O, T, K, Q, G, ?, ?

Answer» The given sequence is a combination of two series: I. Z, W, T, Q, ? and II. S, O, k, G, ?
111.

b e d f ? h j ? l

Answer» The series may be divided into groups as shown: b e d / f ? h / j ? l Clearly in the first group, the second and third letters are respectively three and two steps ahead of the first letter. A similar pattern would follow in the second and third groups.
112.

121, 143, 165, 186, 209

Answer» Each term in the series is obtained by adding 22 to the preceding term. So, 186 is wrong and must be replaced by (165 + 22) i.e. 187.
113.

6, 15, 35, 77, 165, 221

Answer» The terms of the series are products of two consecutive prime numbers i.e. (2 x 3), (3 x 5), (5 x 7), (7 x 11),..... So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.
114.

1, 2, 4, 8, 16, 32, 64, 96

Answer» Each term of the series is obtained by multiplying the preceding term by 2. So, 96 is wrong and must be replaced by (64 x 2) i.e. 128.
115.

3, 4, 10, 32, 136, 685, 4116

Answer» The correct pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,..... So, 32 is wrong and must be replaced by (10 x 3 + 3) i.e. 33.
116.

1, 1, 2, 6, 24, ?, 720

Answer» The pattern is x 1, x 2, x 3, x 4,..... So, missing term = 24 x 5 = 120.
117.

2, 15, 4, 12, 6, 7, ?, ?

Answer» Let the missing terms of the series be x1 and x2. Thus, the sequence 2, 15, 4, 12, 6, 7, x1 x2 is a combination of two series : I. 2, 4, 6, x1 and II. 15, 12, 7, x2I consists of consecutive even numbers. So, missing term, x1 = 8. The pattern in II is - 3, - 5,......So, missing term, x2 = 7 - 7 = 0.
118.

4832, 5840, 6848, ?

Answer» The pattern is + 1008. So, missing term - 6848 + 1008 = 7856.
119.

5824, 5242, ?, 4247, 3823

Answer» Each term in the series is obtained by subtracting from the preceding term the number formed by the first three digits of the preceding term. So, missing term = 5242 - 524 = 4718.
120.

2, 8, 16, 128, ?

Answer» Each term in the series, except the first two terms, is the product of the preceding two terms. So, missing term = 16 x 128 = 2048.
121.

10, 100, 200, 310, ?

Answer» The pattern is + 90 + 100, + 110,..... So, missing term = 310 + 120 = 430.
122.

11, 10, ?, 100, 1001, 1000, 10001

Answer» The pattern is - 1, x 10 + 1, - 1, x 10 + 1, - 1, x 10 + 1, ..... So, missing term = 10 x 10 + 1 = 101.
123.

2,3,8,27, 112,?

Answer» The pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,..... So, missing term = 112 x 5 + 5 = 565.
124.

6, 17, 39, 72, ?

Answer» The pattern is + 11, + 22, + 33, ..... So, missing term = 72 + 44 = 116.
125.

20, 20, 19, 16, 17, 13, 14, 11, ?, ?

Answer» Let the missing terms of the series be x1 and x2. Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11, xv x2 is a combination of two series : I. 20, 19, 17, 14, x1 and II. 20, 16, 13, 11, x2 The pattern in I is - 1, - 2, - 3,......So, missing term, x1 = 14 - 4 = 10. The pattern in II is - 4, - 3, - 2,......So, missing term, x2 = 11 - 1 = 10.
126.

66, 36, 18, ?

Answer» Each term in the series is the product of the digits of the preceding term. So, missing term = 1 x 8 = 8.
127.

In the series 3, 9, 15, ...... what will be the 21st term?

Answer» Clearly, 3 + 6 = 9, 9 + 6 = 15,..... So, the series is an A.P. in which a = 3 and d = 6. Therefore 21st term = a + (21 - 1) d = a + 20d = 3 + 20 x 6 = 123.
128.

2,2,5, 13,28,?

Answer» The pattern is + 0, + 3, + 8, + 15, ..... i.e. + (l2 - 1), + (22 - 1), + (32 - 1), + (42 - 1), ..... So, missing term = 28 + (52 - 1) = 28 + 24 = 52.
129.

0, 2, 8, 14, ?, 34

Answer» The pattern is + 2, + 6, + 6, + 10, + 10,..... So, missing term = 14 + 10 = 24.
130.

1, 5, 14, 30, 55, 91, ?

Answer» The pattern is + 4, + 9, + 16, + 25, + 36, ..... i.e. + 22, + 32, + 42, + 52, + 62,..... So, missing term = 91 + 72 = 91 + 49 = 140.
131.

240, ?, 120, 40, 10, 2

Answer» The pattern is ÷ 1, ÷ 2, ÷ 3, ÷ 4, ÷ 5. So, missing term = 240 ÷ 1 = 240.
132.

28, 33, 31, 36, ?, 39

Answer» The pattern is + 5, - 2, + 5, - 2,..... So, missing term = 36 - 2 = 34.
133.

1, 9, 25, 49, 81, ?

Answer» The series consists of squares of consecutive odd numbers i.e. 12, 32, 52, 72, 92,..... So, missing term = 112 = 121.
134.

1, 9, 25, 49, ?, 121

Answer» The given series consists of squares of consecutive odd numbers i.e. 12, 32, 52, 72,..... So, missing term = 92 = 81.
135.

24, 60, 120, 210, ?

Answer» The pattern is + 36, + 60, + 90,.....i.e. + [6 x (6 + 0)], + [6 x (6 + 4)], + [6 x (6 + 9)],... So, missing term = 210 + [6 x (6 + 15)] = 210 + 126 = 336.
136.

625, 5, 125, 25, 25, ?, 5

Answer» The given sequence is a combination of two series : I. 625, 125, 25, 5 and II. 5, 25, ? The pattern in I is ÷ 5, while that in II is x 5. So, missing term = 25 x 5 = 125.
137.

2,15,41,80,?

Answer» The pattern is + 13, + 26, + 39,..... So, missing term = 80 + 52 = 132.
138.

6, 11, 21, 36, 56, ?

Answer» The pattern is + 5, + 10, + 15, + 20, ... So, missing term = 56 + 25 = 81.
139.

563, 647, 479, 815, ?

Answer» The pattern is + 84, - 168, + 336,.....i.e. + 84, - (84 x 2), + (84 x 22), ..... So, missing term = 815 - (84 x 23) = 815 - 672 = 143.
140.

13, 35, 57, 79, 911, ?

Answer» The terms of the given series are numbers formed by joining together consecutive odd numbers in order i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11, ..... So, missing term = number formed by joining 11 and 13 = 1113.
141.

1, 4, 10, 22, 46, ?

Answer» The pattern is + 3, + 6, + 12, + 24,..... So, missing term = 46 + 48 = 94.
142.

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

Answer» 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. So, missing term = 43 + 11 = 54.
143.

22, 24, 28, ?, 52, 84

Answer» The pattern is + 2, + 4, + 8, + 16,..... So, missing term = 28 + 8 = 36.
144.

3, 15, ?, 63, 99, 143

Answer» The terms of the given series are (22 - 1), (42 - 1),....., (82 - 1), (102 - 1), (122 - 1). So, missing term = (62 - 1) - (36 - 1) = 35.
145.

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

Answer» Clearly, 90 = 30 x 3, 180 = 6 x 30, 12 = 2 x 6, 50 = 25 x 2, 100 = 4 x 25, 200 = 50 x 4. So, missing term = 3 x 50 = 150.
146.

48, 24, 96, 48, 192, ?

Answer» The pattern is ÷ 2, x 4, ÷ 2, x 4, ..... So, missing term = 192 ÷ 2 = 96.
147.

2, 7, 27, 107, 427, ?

Answer» The pattern is + 5, + 20, + 80, + 320, ...... i.e. + (5 x 12), + (5 x 22), + (5 x 42), + (5 x 82),..... So, missing term = 427 + (5 x 162) = 427 + 1280 = 1707.
148.

1, 1, 4, 8, 9, 27, 16, ?

Answer» The series consists of squares and cubes of consecutive natural numbers i.e. 12, 13, 22, 23, 32, 33, 42, ..... So, missing term = 43 = 64.
149.

2, 5, 9, ?, 20, 27

Answer» The pattern is + 3, + 4, + 5, + 6,..... So, missing term = 9 + 5 = 14.
150.

2, 3, 3, 5, 10, 13, ?, 43, 172, 177

Answer» The pattern is + 1, x 1, + 2, x 2, + 3, x 3, + 4, x 4, + 5. So, missing term = 13 x 3 = 39.