1. Find the missing term: 2, 12, 36, 80, 150, ?
a) 194
b) 210
c) 252
d) 258
Explanation: The given series is a triangular pattern series.
So, we have
2 12 36 80 150 ?
10 24 44 70
14 20 26
6 6
So, missing term
= 150 + (70 + 26 + 6)
= 150 + 102
= 252
2. Find the missing term: 625, 5, 125, 25, 25, ?, 5
a) 5
b) 25
c) 125
d) 625
Explanation: The given sequence is a combination of two series:
I. 625, 125, 25, 5 and
II. 5, 25, ?
The pattern is ÷ 5, while that in II is × 5.
So, missing term = 25 × 5 = 125
3. Find the missing term: 2, 9, 28, ?, 126, 126, 217, 344
a) 50
b) 65
c) 70
d) 82
Explanation: The given series is a triangular pattern series.
So, we have
Series I : 2 9 28 ?
126 217 344
Series II : 7 19 ?
? 91 127
Series III : 12 ? ?
? 36
Clearly, to form a pattern, the missing terms in Series III must be 18, 24, 30
So, missing term
= 127 + (61 + 24 + 6)
= 127 + 91
= 218
4. Find the missing term: 11, 10, ?, 100, 1001, 1000, 10001
a) 101
b) 110
c) 111
d) None of these
Explanation: The pattern is - 1, × 10 + 1, - 1, × 10 + 1, - 1, × 10 +1, ....
So, the missing term = 10 × 10 + 1 = 101
5. Which of the following will not be a number of the series 1, 8, 27, 64, 125, ....?
a) 256
b) 512
c) 729
d) 1000
Explanation: The given series consists of cubes of natural numbers only. 256 is not the cube of any natural number.
6. Find out the wrong term: 46080, 3840, 384, 48, 24, 2, 1
a) 384
b) 48
c) 24
d) 2
Explanation: The correct pattern is ÷ 12, ÷ 10, ÷ 8, ÷ 6,.........
So, 24 is wrong and must be replaced by (48 ÷ 6) i.e., 8.
7. Find out the wrong term: 25, 36, 49, 81, 121, 169, 225
a) 36
b) 49
c) 169
d) 225
Explanation: The correct sequence is 52 , 72 , 92 , 112 , 132 , 152.
So, 36 is wrong.
8. Find out the wrong term: 5, 10, 40, 80, 320, 550, 2560
a) 80
b) 320
c) 550
d) 2560
Explanation: The correct pattern is ×2, ×4, ×2, ×4 . . . . . .
So, 550 is wrong and must be replaced by (320 × 2) i.e., 640
9. Find out the wrong term: 2, 5, 10, 17, 26, 37, 50, 64
a) 17
b) 26
c) 37
d) 64
Explanation: The term of the series are (12 + 1)(22 + 1)(32 + 1)(42 + 1)(52 + 1)(62 + 1)(72 + 1),..............
So, 64 is wrong and must be replaced by (82 + 1) i.e., 65
10. Find out the wrong term: 3, 7, 15, 39, 63, 127, 255, 511
a) 15
b) 39
c) 63
d) 127
Explanation: The correct pattern is × 2 + 1.
So, 39 is wrong and must be replaced by (15 × 2 + 1) i.e., 31.
11. Find the missing number:- 0.5, 0.55, 0.65, 0.8, ?
a) 0.9
b) 0.82
c) 1
d) 0.95
Explanation: The pattern is + 0.05, + 0.10, + 0.15,................
So, missing term = 0.8 + 0.20 = 1
12. Find the missing term: 9, 27, 31, 155, 161, 1127, ?
a) 316
b) 1135
c) 1288
d) 2254
Explanation: The pattern is × 3, + 4, × 5, + 6, × 7,
So, missing term = 1127 + 8 =1135
13. Find the missing term: 5, 6, 9, 15, ?, 40
a) 21
b) 25
c) 27
d) 33
Explanation: The pattern is + 1, + 3, + 6, ............i.e., + 1, + (1 + 2) + (1 + 2 + 3)...............
So, missing term = 15 + (1 + 2 +3 +4) = 25
14. Find the missing term :- 3, 15, ?, 63, 99, 143
a) 27
b) 35
c) 45
d) 56
Explanation: 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
15. Find the missing term: 2, 3, 5, 7, 11, ?, 17
a) 12
b) 13
c) 14
d) 15
Explanation: Clearly, the given series consists of prime numbers starting from 2. So, the missing term is the prime number after 11, which is 13.
16. Which term of the series 5,10, 20, 40,...................is 1280 ?
a) 10th
b) 9th
c) 8th
d) None of these
Explanation: Clearly, 5 × 2 = 10, 10 × 2 =20, 20 × 2 = 40,.............................
So, the series is G.P. in which a = 5 and r = 2.
Let 1280 be the nth term of the series.
Then, 5 × 2n - 1= 1280 ⇔2n - 1= 256 = 28 ⇔ n - 1 = 8 ⇔ n = 9
17. Find the missing term: 0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?
a) 28
b) 30
c) 32
d) 35
Explanation: The given sequence is a combination of two series:
I. 0, 3, 8, 15, 24, ? and
II. 2, 5, 10, 17, 26
The pattern in each one of I and II is + 3, + 5, + 7, + 9,..............
So, missing term = 24 + 11 = 35
18. Find the missing term: 3, 10, 29, 66, 127, ?
a) 164
b) 187
c) 216
d) 218
Explanation: The given series is a triangular pattern series.
So, we have
3 10 29 66 127 ?
7 19 37 61
12 18 24
6 6
So, missing term
= 127 + (61 + 24 + 6)
= 127 + 91
= 218
19. Find the missing term: 13, 35, 57, 79, 911, ?
a) 1110
b) 1112
c) 1113
d) 1315
Explanation: The term 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
20. What will come at the place of question mark ?
2/3 , 4/7 , ? , 11/21 , 16/31
a) 5/9
b) 6/11
c) 7/13
d) 9/17
Explanation: The sequence in the numerators is + 2, + 3, + 4, + 5 and that in the denominators is + 4, + 6, + 8, + 10
So, the numerator of the missing fraction should be (4 + 3)i.e., 7 and the denominator should be (7 + 6)i.e., 13. Thus, the missing term is 7/13 .
21. Find the missing term: 5, 2, 7, 9, 16, 25, ?
a) 41
b) 45
c) 48
d) 52
Explanation: Each term in the series, except the first two terms, is the sum of the preceding two terms.
So, missing term = 16 + 25 = 41
22. Find the missing term: 1, 1, 4, 8, 9, 27, 16, ?
a) 32
b) 64
c) 81
d) 256
Explanation: 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
23. Find the missing term: 10, 14, 26, 42, 70, ?
a) 100
b) 102
c) 106
d) 114
Explanation: Each term in the series, except the first two terms, is 2 more than the sum of the preceding two terms.
So, missing term = (42 + 70) +2 = 114
24. Find the missing term: 4, 12, 36, 108, ?
a) 144
b) 216
c) 304
d) 324
Explanation: The pattern is × 3
So, missing term = 108 × 3 = 324
25. Find the missing term: 2, 8, 16, 128, ?
a) 2042
b) 2046
c) 2048
d) 2056
Explanation: Each term in the series, except the first two terms, is the product of the preceding two terms.
So, missing term = 16 × 128 = 2048
26. Find the missing term: 3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?
a) 42
b) 43
c) 51
d) 52
Explanation: The given sequence is a combination of two series:
I. 3, 7, 13, 21, 31, ? and
II. 4, 7, 13, 22, 34
The pattern in I is + 4, + 6, + 8, + 10,......
The pattern in II is + 3, + 6, + 9, + 12,..............
So, missing term = 31 + 12 = 43
27. Find the missing term : 90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3
a) 150
b) 175
c) 225
d) 250
Explanation: Clearly, 90 = 30 × 3, 180 = 6 × 30, 12 = 2 × 6, 50 = 25 × 2, 100 = 4 × 25, 200 = 50 × 4
So, missing term = 3 × 50 = 150
28. In the series 10, 17, 24, 31, 38,...... which of the following will be a number of the series ?
a) 48
b) 346
c) 574
d) 1003
Explanation: The given series consists of numbers each of which, on dividing by 7, leaves a remainder 3, No other number except 346 satisfies the property.
29. Find the missing term: 13, 32, 24, 43, 35, ?, 46, 65, 57, 76
a) 45
b) 52
c) 54
d) 55
Explanation: 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
30. Find the missing term: 4/9, 9/20, ? , 39/86
a) 17/40
b) 19/42
c) 20/45
d) 29/53
Explanation: The sequence in the numerators is + 5, + 10, + 20, ......and that in the denominators is + 11, + 22, + 44,............
So, the numerator of the missing fraction should be (9 + 10)i.e., 19 and the denominator should be (20 + 22)i.e., 42. Thus, the missing term is 19/42 .
31. Find the missing term: 6, 18, 3, 21, 7, 56, ?
a) 8
b) 9
c) 63
d) 64
Explanation: Each term at an even place in the series is the product of its two adjacent terms.
Thus, if the missing term be x, then we have :
7 × x = 56 or x = 56 ÷ 7 = 8
32. Find the missing term: 1, 3, 4, 8, 15, 27, ?
a) 37
b) 44
c) 50
d) 55
Explanation: The sum of any three consecutive terms of the series gives the next term,
So, missing number = 8 + 15 + 27 = 50
33. Find the missing term: 20, 20, 19, 16, 17, 13, 14, 11, ?, ?
a) 10, 10
b) 10, 11
c) 13, 14
d) 13, 16
Explanation: Let the missing terms of the series be x1 and x2.
Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11. x1, 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
34. Find the missing term: 45, 54, 47, ?, 49, 56, 51, 57, 53
a) 48
b) 50
c) 55
d) None of these
Explanation: The given sequence is a combination of two series:
I. 45, 47, 49, 51, 53 and
II. 54, ?, 56, 57
Clearly, II. consists of consecutive natural numbers, starting from 54.
so, missing term = 55.
35.Find the missing term: 2, 15, 4, 12, 6, 7, ?, ?
a) 8, 8
b) 8, 0
c) 3, 8
d) None of these
Explanation: 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, x2
I consists of consecutive even numbers. So, missing term, x1= 8
The pattern in II is - 3, - 5, ........So, missing term x2 = 7 - 7 = 0
36. Find the missing number: 111/9, 121/2, 142/7, 162/3, ?
a) 81/3
b) 191/2
c) 20
d) 221/3
Explanation: The given sequence is 100/9 , 25/2 , 100/7 , 50/3, ............i.e., 100/9, 100/8, 100/7, 100/6.................
So, missing term = 100/5 = 20
37. Find the missing term: 8, 9, 8, 7, 10, 9, 6, 11, 10, ?, 12
a) 5
b) 7
c) 8
d) 11
Explanation: The given sequence is a combination of three series:
I. 1st, 4th, 7th, 10th, terms i.e., 8, 7, 6, ?
II. 2nd, 5th, 8th, 11th terms i.e.,9, 10, 11, 12
III. 3rd, 6th, 9th, terms i.e., 8, 9, 10
The pattern in I. is - 1 So, the missing term is = 6 - 1 = 5
38. Which term of the series 5, 8, 11, 14, ....is 320 ?
a) 104th
b) 105th
c) 106th
d) 64th
Explanation: Clearly, 5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14,................
So, the series in an A.P. in which a = 5 and d = 3
Let 320 be the nth term of the series.
Then, 320 = 5 + (n - 1) × 3 or (n - 1) = 105 or n = 106
39. Find the missing term: 1, 9, 25, 49, ?, 121
a) 64
b) 81
c) 91
d) 100
Explanation: The given series consists of squares of consecutive odd numbers i.e., 12 , 32 , 52 , 72,..........
So. missing term = 92 = 81
40. Find the missing term: 4, 6, 9, 131/2, ?
a) 171/2
b) 19
c) 201/4
d) 223/4
Explanation: The pattern is × 3/2.
So, missing number = 131/2 × 3/2 = 27/2 × 3/2 = 81/4 = 201/4.
41. Find the missing term: 1, 1, 2, 6, 24, ?, 720
a) 100
b) 104
c) 108
d) 120
Explanation: The pattern is × 1, × 2, × 3, × 4, .............
So, missing term = 24 × 5 = 120
42.Find the missing term: 3, 10, 101, ?
a) 10101
b) 10201
c) 10202
d) 11012
Explanation: Each term in the series is obtained by adding 1 to the square of the preceding term.
So, missing term = (101)2 + 1 = 10202
43. Find the missing term: 5824, 5242, ?, 4247, 3823
a) 4467
b) 4718
c) 4856
d) 5164
Explanation: 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
44. Find the missing term: 3, 8, 13, 24, 41, ?
a) 70
b) 75
c) 80
d) 85
Explanation: The pattern followed is:
n the 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.
So, missing term = 6th term = 4th term + 5th term + 5 = 24 + 41 + 5 = 70
45. Find the missing term: 589654237, 89654237, 8965423, 965423, ?
a) 58965
b) 65423
c) 89654
d) 96542
Explanation: The digits are removed one by one from the beginning and the end in order alternately so as to obtain the subsequent terms of the series.
46. Find out the wrong term: 8, 14, 26, 48, 98, 194, 386
a) 14
b) 48
c) 98
d) 194
Explanation: The correct pattern is × 2, - 2.......
So, 48 is wrong and must be replaced by (26 × 2 - 2) i.e., 50.
47. Find out the wrong term: 8, 13, 21, 32, 47, 63, 83
a) 13
b) 21
c) 32
d) 47
Explanation: The correct pattern is + 5, + 8, + 11, + 14, ............
So, 47 is wrong and must be replaced by (32 + 14) i.e., 46
48. Find out the wrong term: 10, 26, 74, 218, 654, 1946, 5834
a) 26
b) 74
c) 218
d) 654
Explanation:
So, 654 is wrong and must be replaced by (218 × 3 - 4) i.e., 650.
49.Find out the wrong term: 4, 10, 22, 46, 96, 190, 382
a) 4
b) 10
c) 96
d) 382
Explanation: The correct pattern is + 6, + 12, + 24, + 48, + 96, + 192 ............
So, 96 is wrong and must be replaced by (46 + 48) i.e., 94
50. Find out the wrong term: 1, 3, 10, 21, 64, 129, 356, 777
a) 21
b) 129
c) 10
d) 356
Explanation: The correct pattern is × 2 + 1, × 3 + 1, × 2 + 1, × 3 + 1,...........
So, 356 is wrong and must be replaced by (129 × 3 + 1) i.e., 388.
51.Find the missing term :- 2, 3, 3, 5, 10, 13, ?, 43, 172, 177
a) 23
b) 38
c) 39
d) 40
Explanation: The pattern is + 1, × 1, + 2, × 2, + 3, × 3, + 4, × 4, + 5
So, missing term = 13 × 3 = 39
52. Find the missing term: 563, 647, 479, 815, ?
a) 672
b) 386
c) 279
d) 143
Explanation: The pattern is + 84, - 168, + 336, .....i.e., + 84, - (84 × 2), + (84 × 22 ),.................
So, missing term = 815 - (84 × 23 ) = 815 - 672 = 143
53. Find the missing term, 4, 9, 25, ?, 121, 169, 289, 361
a) 49
b) 64
c) 81
d) 87
Explanation: The given series consists of squares of consecutive prime numbers i.e., 22 , 32 , 52 ,.....................,112 , 132 , 172 , 192
So, missing term = 72 = 49
54. Find the missing term :- 240, ?, 120, 40, 10, 2
a) 180
b) 240
c) 420
d) 480
Explanation: The pattern is ÷ 1, ÷ 2, ÷ 3, ÷ 4, ÷ 5
So, missing term = 240 ÷ 1 = 240
55. Find the missing term :- 1, 9, 25, 49, 81, ?
a) 100
b) 112
c) 121
d) 144
Explanation: The series consists of squares of consecutive odd numbers i.e., 12 , 32 , 52 , 72 , 92 ,..............
So, missing term = 112 = 121
56. Find out the wrong term: 5, 27, 61, 122, 213, 340, 509
a) 27
b) 61
c) 122
d) 509
Explanation: The terms of the series are (23 - 3), (33 - 3), (43 - 3), (53 - 3), (63 - 3), (73 -3), (83 -3).
So, 27 is wrong and must be replaced (33 - 3) i.e., 24
57. Find out the wrong term: 6, 15, 35, 77, 165, 221
a) 35
b) 77
c) 165
d) 221
Explanation: The terms of the series are product of two consecutive prime numbers i.e., (2 × 3), (3 × 5), (5 × 7), (7 × 11),...........
So, 165 is wrong and must be replaced by (11 × 13) i.e., 143.
58. Find out the wrong term: 121, 143, 165, 186, 209
a) 143
b) 165
c) 186
d) 209
Explanation: 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.
59. Find out the wrong term: 24576, 6144, 1536, 386, 96, 24
a) 96
b) 386
c) 1536
d) 6144
Explanation: Each term of the series is obtained by dividing the preceding term by 4.
So, 1536 is wrong and must be replaced by (1536 ÷ 4) i.e., 384.
60. Find out the wrong term: 16, 22, 30, 45, 52, 66
a) 30
b) 45
c) 52
d) 66
Explanation: The correct pattern is + 6, + 8, + 10, + 12, + 14.
So, 45 is wrong and must be replaced by (30 + 10) i.e., 40.
61. Find the missing term: 0, 4, 6, 3, 7, 9, 6, ?, 12
a) 8
b) 10
c) 11
d) 14
Explanation: The given sequence is a combination of three series:
I. 0, 3, 6
II. 4, 7, ?
III. 6, 9, 12
The pattern in each of these series is + 3
So, missing term = 7 + 3 = 10
62. In the series 3, 9, 15,.............what will be the 21st term?
a) 117
b) 121
c) 123
d) 129
Explanation: Clearly, 3 + 6 = 9, 9 + 6 = 15,.............
So, the series is an A.P in which a = 3 and d = 6
∴21st term = a + (21 - 1)d = a + 20d
= 3 +20 × 6 = 123.
63. Find the missing number: 2/√5, 3/5, 4/5√5, 5/25, ?
a) 6/5√5
b) 6/25√5
c) 6/125
d) 7/25
Explanation: Clearly, the numerators of the given fractions are consecutive natural numbers. So, the numerator of the missing fraction should be 6. Also, the denominator of each fraction is multiplied by √5 to obtain the denominator of the next fraction. So. the denominator of the missing fraction should be 25√5. Hence,the missing term is 6/25√5
64. In the series 2, 6, 18, 54, ...., what will be the 8th term ?
a) 4370
b) 4374
c) 7443
d) 7434
Explanation: Clearly, 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54,..............
S, the series is a G.P. in which a = 2, r = 3
∴8th term = ar(8 - 1)= ar7 = 2 × 37 = (2 × 2187) = 4374
65. Find the missing term: 2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ?
a) 9
b) 10
c) 11
d) 12
Explanation: The given sequence is a combination of three series:
I. 1st, 4th, 7th, 10th, 13th terms i.e., 2, 4, 6, 8, ?
II. 2nd, 5th, 8th, 11th terms i.e., 1, 4, 7, 10
III. 3rd, 6th, 9th, 12th terms i.e., 2, 5, 8, 11
Clearly, I. consists of consecutive even numbers. So, the missing term is 10.
66. Find out the wrong term: 0, 2, 3, 5, 8, 10, 15, 18, 24, 26, 35
a) 18
b) 24
c) 26
d) 10
Explanation: The given sequence is a combination of two series:
I. 0, 3, 8, 15, 24, 35 and II. 2, 5, 10, 18, 26
The pattern in both I and II is + 3, + 5, + 7, + 9, .........
So, in II. 18 is wrong and must be replaced by (10 + 7) i.e., 17.
67. Find out the wrong term: 196, 169, 144, 121, 101
a) 101
b) 121
c) 169
d) 196
Explanation: The sequence is (14)2 , (13)2 , (12)2 , (11)2 , (10)2 ..........
So, 101 is wrong and must be replaced by (10)2 i.e., 100
68. Find out the wrong term: 2, 5, 10, 50, 500, 5000
a) 5
b) 10
c) 50
d) 5000
Explanation: Each term of the series is the product of the preceding two terms.
So, 5000 is wrong and must be replaced by (50 × 500) = i.e., 25000
69. Find out the wrong term: 5, 27, 61, 122, 213, 340, 509
a) 27
b) 61
c) 122
d) 509
Explanation: We have :
I: 5 27 61 122 213 340 509
II: 22 34 61 91 127 169
III: 12 27 30 36 42
IV: 15 3 6 ; 6
Clearly, the given series becomes a triangular pattern series if each term in IV: is 6.
Again, in II: 34 must be replaced by (61 - 24) i.e., 37 and 22 by (37 - 18) i.e., 19.
Thus, in the given series, 27 is wrong and must be replaced by (5 + 19) i.e., 24.
70. Find out the wrong term:3, 10, 27, 4, 16, 64, 5, 25, 125
a) 3
b) 4
c) 10
d) 27
Explanation: The correct sequence is 3, 32 , 33,4, 42 , 43,5, 52 , 53
So. 10 is wrong and must replaced by 32 i.e., 9
71. Find out the wrong term: 1, 3, 12, 25, 48
a) 3
b) 12
c) 25
d) 48
Explanation: The terms of the series are (12 - 0), (22 - 12 ), (42 - 22 ), (62 - 32 ), and (82 - 42 ),
So, 25 is wrong and must be replaced by (62 - 32) i.e., 27.
72. Find out the wrong term: 2, 3, 4, 4, 6, 8, 9, 12, 16
a) 3
b) 6
c) 9
d) 12
Explanation: The given sequence is a combination of three series:
I: 1st, 4th, 7th terms i.e., 2, 4, 9.....
II: 2nd, 5th, 8th terms i.e.,3, 6, 12.......
III: 3rd, 6th, 9th terms i.e., 4, 8, 16..................
In each one of I, II and III, each term is twice the preceding term.
So, 9 is wrong and must be replaced by (4 × 2) i.e., 8.
73. Find out the wrong term: 3, 2, 8, 9, 13, 22, 18, 32, 23, 42
a) 8
b) 9
c) 13
d) 22
Explanation: The given sequence is a combination of two series:
I: 3, 8, 13, 18, 23 and
II: 2, 9, 22, 32, 42
The pattern in I: is + 5, and the pattern in II: is + 10
So, in II, 9 is wrong and must be replaced by (2 + 10) i.e., 12.
74. Find out the wrong term: 1236, 2346, 3456, 4566, 5686
a) 1236
b) 3456
c) 4566
d) 5686
Explanation: The correct pattern in the series is + 1110.
So, 5686 is wrong and must be replaced by (4566 + 1110) i.e., 5676.
75. In a given series one term is wrong or missing term: 1, 5, 14, 30, 55, 93
a) 97
b) 95
c) 93
d) 55
Explanation: The correct pattern is + 4, + 9, + 16, + 25,+ 36 i.e., + 22, + 32 , + 42 , + 52 , + 62
So, 93 is wrong and must be replaced by (55 + 36) i.e., 91.
76. Find out the wrong term: 1, 2, 4, 8, 16, 32, 64, 96,
a) 4
b) 32
c) 64
d) 96
Explanation: Each term of the series is obtained by multiplying the preceding term by 2.
So, 96 is wrong and must be replaced by (64 × 2) i.e., 128.
77. Find out the wrong term: 125, 126, 124, 127, 123, 129
a) 126
b) 124
c) 123
d) 129
Explanation: The correct pattern is + 1, - 2, + 3, - 4, + 5.
So, 129 is wrong and must be replaced by (123 + 5) i.e., 128
78. Find out the wrong term: 15, 16, 22, 29, 45, 70
a) 16
b) 22
c) 45
d) 70
Explanation: The correct pattern is + 1, + 4, + 9, + 16, + 25 i.e., + 12 , + 22 , + 32 , + 42 , + 52.
So, 22 is wrong and must be replaced by (16 + 4) i.e., 20.
79. Find out the wrong term: 105, 85, 60, 30, 0, - 45, - 90
a) 105
b) 60
c) 0
d) 45
Explanation: The correct pattern is - 20, - 25, - 30, ............
So, 0 is wrong and must be replaced by (30 - 35) i.e., - 5.
80. Find out the wrong term: 56, 58, 62, 70, 84, 118, 182
a) 58
b) 62
c) 84
d) 118
Explanation: The correct pattern is + 2, + 4, + 8, + 16, + 32, + 64 i,e., + 2, + 22 , + 23 , + 24 , + 25 , + 26.
So, 84 is wrong and must be replaced by (70 + 16) i.e., 86.
81. Find the missing term: 36, 34, 30, 28, 24, ?
a) 20
b) 23
c) 22
d) 26
Explanation: Missing term is 22.
82. Find the missing term : 3, 5, 9, 17, ?
a) 33
b) 42
c) 26
d) 65
Explanation: 1st term : 3
2nd term : 3 + 2 = 5
3rd term : 5 + 4 = 9
4th term : 9 + 8 = 17
So,
5th term : 17 + 16 = 33
83. Find the missing term :9*2 : 9*9 : : 9*5 : ?
a) 9*4
b) 9*6
c) 9*7
d) 9*8
Explanation: 9 × 2 : 9 × 9 : : 9 × 5 : ?
18 : 81 : : 45 : 9 × 6
So. 9 × 6 will come in place of question mark.
84. Find the missing term : 1, 0, 3, 2, 5, 6, ?, 12, 9, 20
a) 9
b) 10
c) 7
d) 8
Explanation: There are two series in the given question.
1st series: 1, 3, 5, 7, 9 ... ( each next term are generated by adding 2)
2nd series: 0, 2, 6, 12, 20 ... ( each next term are generated by adding 2n [where n=1,2,3,4...])
85. Find the missing term : 5, 16, 51, 158, ?
a) 1452
b) 483
c) 481
d) 1454
Explanation: The series is as follows:
5 × 3 + 1 = 16
16 × 3 + 3 = 51
51 × 3 + 5 = 158
158 × 3 + 7= 481
86. Find out the wrong term: 1, 5, 9, 15, 25, 37, 49
a) 9
b) 15
c) 25
d) 37
Explanation: The terms of the given series are 12 , (22 + 1), 32 , (42 + 1), 52 , (62 + 1), 72
So, 15 is wrong and must be replaced by (42 + 1) i.e., 17.
87. Find out the wrong term: 445, 221, 109, 46, 25, 11, 4
a) 25
b) 46
c) 109
d) 221
Explanation: 3 is subtracted from each number and the result divided by 2 to obtain the next number of the series,
So, 46 is wrong and must be replaced by (109 - 3)/2 i.e., 53.
88. Find out the wrong term: 11, 5, 20, 12, 40, 26, 74, 54
a) 5
b) 20
c) 40
d) 26
Explanation: The given sequence is a combination of two series:
I: 11, 20, 40, 74 and
II: 5, 12, 26, 54
The correct pattern in I: is + 9, + 18, + 36,.....
So, 40 is wrong and must be replaced by (20 + 18) i.e., 38.
89. Find out the wrong term: 93, 309, 434, 498, 521, 533
a) 309
b) 434
c) 498
d) 521
Explanation: The correct pattern is + 63 , + 53 , + 43 , + 33 , ............
So, 521 is wrong and must be replaced by (498 + 33 ) i.e., 525.
90. Find out the wrong term: 1, 5, 5, 9, 7, 11, 11, 15, 12, 17
a) 11
b) 12
c) 17
d) 15
Explanation: The given sequence is a combination of two series :
I: 1, 5, 7, 11, 12 and
II: 5, 9, 11, 15, 17
The pattern in both I and II is + 4, + 2, + 4, + 2,
So, 12 is wrong and must be replaced by (11 + 2) i.e., 13.
91. Find out the wrong term: 325, 259, 202, 160, 127, 105, 94
a) 94
b) 127
c) 202
d) 259
Explanation: The correct pattern is - 66, - 55, - 44, - 33, - 22, - 11.
So, 202 is wrong and must be replaced by (259 - 55) i.e., 204.
92. Find out the wrong term: 3, 4, 10, 32, 136, 685, 4116
a) 10
b) 32
c) 136
d) 4116
Explanation: The correct pattern is × 1 + 1, × 2 + 2, × 3 + 3, × 4 + 4, ..........
So, 32 is wrong and must be replaced by (10 × 3 + 3) i.e., 33.
93. Find out the wrong term: 380, 188, 92, 48, 20, 8, 2
a) 8
b) 20
c) 48
d) 188
Explanation: The correct pattern is - 192, - 96, - 48, - 24, - 12, - 6.
So, 48 is wrong and must be replaced by (92 - 48) i.e., 44.
94. Find out the wrong term: 2, 6, 24, 96, 285, 568, 567
a) 6
b) 24
c) 285
d) 567
Explanation: The correct pattern is ×6 -6, ×5 -5, ×4 -4, ×3 -3, . . . . .
So, 24 is wrong and must be replaced by (6 × 5 - 5) i.e., 25
95. Find out the wrong term: 89, 78, 86, 80, 85, 82, 83
a) 83
b) 82
c) 86
d) 78
Explanation: The correct pattern is - 11, + 9, - 7, + 5, - 3 + 1.
So, 86 is wrong and must be replaced by (78 + 9) i.e., 87.
96. In a given series one term is wrong or missing term: 1, 2, 5, 10, 17, 28
a) 30
b) 28
c) 27
d) 17
Explanation: The correct sequence is + 1, + 3, + 5, + 7, + 9.
So, 28 is wrong and must be replaced by (17 + 9) i.e., 26.
97. In a given series one term is wrong or missing term: 0, 3, 8, 15, 24, 33
a) 8
b) 15
c) 26
d) 33
Explanation: The correct pattern is + 3, + 5, + 7, + 9, + 11.
So, 33 is wrong and must be replaced by (24 + 11) i.e., 35.
98. In a given series one term is wrong or missing term: 2, 3, 5, 8, 13, 34
a) 21
b) 25
c) 29
d) 34
Explanation: Clearly, each term of the series is the sum of the preceding two terms.
Now, 8 + 13 = 21 and 13 + 21 = 34.
So, the term 21 is missing.
99. In a given series one term is wrong or missing term: 1, 5, 11, 19, 29, 55
a) 55
b) 41
c) 29
d) 19
Explanation: The correct sequence is + 4, + 6, + 8, + 10, ............
So, next term after 29 = 29 + 12 = 41.
The term after 41 will then be (41 + 14) i.e., 55.
∴ 41 is missing.
100. Find the missing term : 4, 6, 10, 16, 24, ?
a) 40
b) 34
c) 30
d) 28
Explanation: 1st term : 4
2nd term : 4 + 2 = 6
3rd term : 6 + 4 = 10
4th term : 10 + 6 = 16
5th term : 16 + 8 = 24
So,
6th term : 24 + 10 = 34