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.
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