Q)21, 25, 33, 49, 81, (…)
(a) 145 (Ans)
(b) 129
(c) 113
(d) 97
Ans : The pattern is + 4, + 8, + 16, + 32, …. i.e. + 22, + 23, + 24 + 25, ….
Missing number = 81 + 26 = 81 + 64 = 145.
Q)12, 32, 72, 152, (…)
(a) 312 (Ans)
(b) 325
(c) 515
(d) 613
Ans : The pattern is + 20, + 40, + 80, ….
∴ Missing number = 152 + 160 = 312.
Q) 3, 6, 5, 20, 7, 42, 9, (…)
(a) 54
(b) 60
(c) 66
(d) 72 (Ans)
Ans : The sequence is a combination of two series :
I. 3, 5, 7, 9 and II. 6, 20, 42, (…)
The pattern followed in II is + 14, + 22, ….
Missing number = 42 + 30 = 72.
Q) 1, 3, 4, 8, 15, 27, (…)
(a) 37
(b) 44
(c) 50 (Ans)
(d) 55
Ans : 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.
Q)2, 15, 41, 80, (…)
(a) 111
(b) 120
(c) 121
(d) 132 (Ans)
Ans : The pattern is + 13, + 26, + 39, ….
Missing number = 80 + 52 = 132.
Q)8, 10, 14, 18, (…), 34, 50, 66
(a) 24
(b) 25
(c) 26 (Ans)
(d) 27
Ans : The pattern is + 2, + 4, + 4, …. + 16, + 16.
Missing number = 18 + 8 = 26.
Q)1, 2, 6, 24,(…)
(a) 60
(b) 95
(c) 120 (Ans)
(d) 150
Ans : The pattern is x 2, x 3, x 4, …..
Missing number = 24 x 5 = 120.
Q) 2, 3, 8, 63, (…)
(a) 1038
(b) 1998
(c) 3008
(d) 3968 (Ans)
Ans : Each term in the series is one less than the square of the preceding term.
Thus, 22 – 1 = 3, 32 – 1 = 8, 82 – 1 = 63.
Missing term = (63)2 – 1 = 3969 – 1 = 3968.
Q) 95, 115.5, 138, (…), 189
(a) 154.5
(b) 162.5 (Ans)
(c) 164.5
(d) 166.5
Ans : The pattern is + 20.5, + 22.5, …
Missing term = 138 + 24.5 = 162.5
Q) 4, 10, (…), 82, 244, 730
(a) 24
(b) 28 (Ans)
(c) 77
(d) 218
Ans : Each number in the series is the preceding number multiplied by 3 and then decreased by 2.
Q)4, 32, 128, (…)
(a) 128
(b) 144
(c) 192
(d) 256 (Ans)
Ans : The pattern is x 8, x 4, ….
Missing term = 128 x 2 = 256.
Q) 2, 5, 9, 19, 37, (…)
(a) 76
(b) 75 (Ans)
(c) 74
(d) 72
Ans : The pattern is x 2 + 1, x 2 – 1, x 2 + 1, x 2 – 1, ….
Missing number = 37 x 2 + 1 = 75.
Q) 24, 60, 120, 210, (…)
(a) 300
(b) 336 (Ans)
(c) 420
(d) 525
Ans : The pattern is + 36, + 60, + 90,…. i.e.
+ [6 x (6 + 0)], + [6 x (6 + 4)], + [6 x (6 + 9)], ….
Missing number = 210 + [6 x (6 + 15)] = 210 + 126 = 336.
Q)165, 195, 255, 285, 345, (…)
(a) 375
(b) 420
(c) 436 (Ans)
(d) 390
Ans : Each number is 15 multiplied by a prime number 15 x 11, 15 x 17, 15 x 19, 15x 23.
Missing term = 15 x 29 = 435.
Q) 5, 17, 37, 65, (…), 145
(a) 95
(b) 97
(c) 99
(d) 101 (Ans)
Ans : The numbers are 22 + 1, 42 + 1, 62 + 1, 82 + 1, …, 122 + 1.
Missing term = 102 + 1 =101.
Q) 9, 11, 20, 31, (…), 82
(a) 41
(b) 51 (Ans)
(c) 60
(d) 71
Ans : Each term in the series is the sum of the preceding two terms.
Missing number = 20 + 31 = 51.
Q)5, 16, 49, 104, (…)
(a) 115
(b) 148
(c) 170
(d) 181 (Ans)
Ans : The pattern is + 11, + 33, + 55, …, i.e. + (11 x 1), + (11 x 3), + (11 x 5), ….
Missing number = 104 + (11 x 7) = 181.
Q) 34, 18, 10, 6, 4, (…)
(a) 0
(b) 1
(c) 2
(d) 3 (Ans)
Ans : Each term is divided by 2 and then increased by 1 to obtain the next term.
Missing term = (4 ÷ 2) + 1 = 3.
Q) 462, 420, 380, (…), 306
(a) 322
(b) 332
(c) 342 (Ans)
(d) 352
Ans : The pattern is – 42, -40, ….
Missing number = 380 – 38 = 342.
Q) 3, 8, 22, 63, 185, (…)
(a) 550 (Ans)
(b) 310
(c) 295
(d) 285
Ans : The pattern is x 3 – 1, x 3 – 2, x 3 – 3, x 3 – 4, …
Missing number = (185 x 3) – 5 = 550.
Q) 1, 2, 5, 12, 27, 58, 121, (…)
(a) 246
(b) 247
(c) 248 (Ans)
(d) 249
Ans : The pattern is x 2 + 0, x 2 + 1, x 2 + 2, x 2 + 3, x 2 + 4, x 2 + 5, ….
Missing number = 121 x 2 + 6 = 248.
Q) 0.5, 0.55, 0.65, 0.8, (…)
(a) 0.9
(b) 0.82
(c) 1 (Ans)
(d) 0.95
Ans : The pattern is + 0.05, 0.10 + 0.15, ….
Missing number = 0.8 + 0.20 = 1.
Q)3, 8, 13, 24, 41, (…)
(a) 70 (Ans)
(b) 75
(c) 80
(d) 85
Ans : 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.
Q)97, 86, 73, 58, 45, (…)
(a) 34 (Ans)
(b) 54
(c) 55
(d) 56
Ans : The pattern is – 11, – 13, – 15, – 13, ….
Missing number = 45 – 11 = 34.
Q) 17, 19, 23, 29, (…), 37
(a) 31 (Ans)
(b) 33
(c) 35
(d) 36
Ans : 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.
Q)5, 6, 9, 15, (…), 40
(a) 21
(b) 25 (Ans)
(c) 27
(d) 33
Ans : The pattern is + 1, + 3, + 6, …. i.e. + 1, + (1 + 2), + (1 + 2 + 3), ….
Missing number = 15 + (1 + 2 + 3 + 4) = 25.
Q) 3, 12, 27, 48, 75, 108, (…)
(a) 147 (Ans)
(b) 162
(c) 183
(d) 192
Ans : The numbers are 3 x 12, 3 x 22, 3 x 32, 3 x 42, 3 x 52, 3 x 62, …
Missing number = 3 x 72 = 3 x 49 = 147.
Q) 134, 245, 356, 467, (…)
(a) 579
(b) 578 (Ans)
(c) 568
(d) 478
Ans : Each term is obtained by adding 111 to the preceding term.
Missing number = 467 + 111 = 578.
Q) 6, 13, 28, (…)
(a) 56
(b) 57
(c) 58
(d) 59 (Ans)
Ans : The pattern is x 2 + 1, x 2 + 2, …
Missing number = 28 x 2 + 3 = 59.
Q)563, 647, 479, 815, (…)
(a) 672
(b) 386
(c) 279
(d) 143 (Ans)
Ans : The pattern is + 84, – 168, + 336, … i.e. + 84, – (84 x 2), + (84 x 22), ….
Missing number = 815 – (84 x 23) = 815 – 672 = 143.