Directions (Qs. 1 - 13): Find the missing term in the given series.
1. 14, 20, 31, 49, 76, ?
A) 108 B) 109 C) 117 D) 113 E) 114
Explanation:
Series Pattern Given Series
14 14
14 + (3 + 3) = 20 20
20 + (6 + 5) = 31 31
31 + (11 + 7) = 49 49
49 + (18 + 9) = 76 76
76 + (27 + 11) = 114 114
Ans: E
2. 3, 11, 35, ?, 323
A) 98 B) 92 C) 102 D) 104 E) None of these
Explanation:
Series Pattern Given Series
3 3
3 × 3 + 2 = 11 11
11 × 3 + 2 = 35 35
35 × 3 + 2 = 107 107
107 × 3 + 2 = 323 323
Ans: E
3. 8, 15, ?, 57, 113
A) 27 B) 25 C) 23 D) 29 E) None of these.
Explanation:
Series Pattern Given Series
8 8
8 × 2 − 1 = 15 15
15 × 2 − 1 = 29 29
29 × 2 − 1 = 57 57
57 × 2 − 1 = 113 113
Ans: D
4. 6, 17, 50, 105, ?, 281
A) 182 B) 161 C) 172 D) 166 E) 176
Series Pattern Given Series
6 6
6 + (11 × 1) = 17 17
17 + (11 × 3) = 50 50
50 + (11 × 5) = 105 105
105 + (11 × 7) = 182 182
182 + (11 × 9) = 281 281
Ans: A
5. 378, 389, 411, 444, ?, 543
A) 461 B) 510 C) 537 D) 488 E) 503
Explanation:
Series Pattern Given Series
378 378
378 + 11 = 389 389
389 + 22 = 411 411
411 + 33 = 444 444
444 + 44 = 488 488
488 + 55 = 543 543
Ans: D
6. 26, 30, 57, 73, ?, 234
A) 125 B) 198 C) 98 D) 113 E) 20
Explanation:
Series Pattern Given Series
26 26
26 + 22 = 30 30
30 + 33 = 57 57
57 + 42 = 73 73
73 + 53 = 198 198
198 + 62 = 234 234
Ans: B
7. 122, 61.5, 31.25, 16.125, ?, 4.78
A) 8 B) 8.56 C) 9.5 D) 7.2 E) 8.6
Explanation:
Series Pattern Given Series
122 122
122 + 1 ÷ 2 = 61.5 61.5
61.5 + 1 ÷ 2 = 31.25 31.25
31.25 + 1 ÷ 2 = 16.125 16.125
16.125 + 1 ÷ 2 = 8.56 8.56
8.56 + 1 ÷ 2 = 4.78 4.78
Ans: B
8. 8, 31, 122, ?, 1936, 7739
A) 420 B) 421 C) 485 D) 424 E) 471
Explanation:
Series Pattern Given Series
8 8
8 × 4 − 1 = 31 31
31 × 4 − 2 = 122 122
122× 4 − 3 = 485 485
485 × 4 − 4 = 1936 1936
1936 × 4 − 5 = 7739 7739
Ans: C
9. 19, 97, 162, 214, 253, ?
A) 279 B) 292 C) 266 D) 265 E) None of these
Explanation:
Series Pattern Given Series
19 19
19 + 78 = 97 97
97 + 65 = 162 162
162 + 52 = 214 21
214 + 39 = 253 253
253 + 26 = 279 279
Ans: A
10. 870, 749, 668, 619, ?, 585
A) 594 B) 610 C) 558 D) 550 E) 574
Explanation:
Series Pattern Given Series
870 870
870 − 112 = 749 749
749 − 9 2 = 668 668
668 − 7 2 = 619 619
619 − 5 2 = 594 594
594 − 3 2 = 585 585
Ans: A
11. 13, 23, 49, 99, ?, 303
A) 182 B) 181 C) 192 D) 191 E) 211
Explanation:
Series Pattern Given Series
13 13
13 + (32 + 1) = 23 23
23 + (52 + 1) = 49 49
49 + (72 + 1) = 99 99
99 + (92 + 1) = 181 181
181 + (112 + 1) = 303 303
Ans: B
12. 20, 25, 34, ?, 64, 85, 110
A) 45 B) 47 C) 39 D) 51 E) 43
Explanation:
Series Pattern Series
20 20
20 + 5 = 25 25
25 + 9 = 34 34
34 + 13 = 47 47
47 + 17 = 64 64
64 + 21 = 85 85
85 + 25 = 110 110
Hence, there should be 47 in place of ?.
Ans: B
13. 6, 9, 12, 14, 16, ?, 22, 24, 26
A) 20 B) 19 C) 22 D) 21 E) None of these
Explanation: The series is +3, +3, +2, +2, +3, +3... so on
Series Pattern Series
6 6
6 + 3 = 9 9
9 + 3 = 12 12
12 + 2 = 14 14
14 + 2 = 16 16
16 + 3 = 19 19
19 + 3 = 22 22
22 + 2 = 24 24
24 + 2 = 26 26
Hence, there should be 19 in place of ?.
Ans: B
Directions (Qs. 1 - 5): Find the wrong term in the given series:
1. 13, 14, 27, 41, 68, 112, 177
A) 68 B) 27 C) 41 D) 112 E) 177
Explanation:
Series pattern given series
13 13
14 14
13 + 14 = 27 27
14 + 27 = 41 41
27 + 41 = 68 68
41 + 68 = 109 112
68 + 109 = 177 177
So, 112 is wrong term and must be replaced by 109.
Ans: D
2. 14, 33, 116, 555, 3124, 23009
A) 33 B) 116 C) 555 D) 3124 E) 23009
Explanation:
Series Pattern Given Series
14 14
14 × 3 − 3 2 = 33 33
33 × 4 − 4 2 = 116 116
116 × 5 − 5 2 = 555 555
555 × 6 − 6 2 = 3294 3124
3294 × 7 − 7 2 = 23009 23009
So, 3124 is wrong term and must be replaced by 3294.
Ans: D
3. 3, 4.5, 9, 22.5, 67.5, 235.5, 945
A) 4.5 B) 67.5 C) 22.5 D) 9 E) 235.5
Explanation: The series pattern is ×1.5, ×2, ×2.5, ×3, × 3.5, ×4.
Series Pattern Given Series
3 3
3 × 1.5 = 4.5 4.5
4.5 × 2 = 9 9
9 × 2.5 = 22.5 22.5
22.5 × 3 = 67.5 67.5
67.5 × 3.5 = 236.25 235.5
236.25 × 4 = 945 945
So, 235.5 is wrong term and must be replaced by 236.25
Ans: E
4. 46, 30, 22, 18, 16, 15.5, 14.5
A) 15.5 B) 16 C) 22 D) 30 E) 18
Explanation: The series is −16, −8, −4, −2, −1, −0.5, and so on.
Series Pattern Given Series
46 46
46 − 16 = 30 30
30 − 8 = 22 22
22 − 4 = 18 18
18 − 2 = 16 16
16 − 1 = 15 15.5
15 − 0.5 = 14.5 14.5
So, 15.5 is wrong term and must be replaced by 15.
Ans: A
5. 2, 4, 11, 37, 154, 771, 4633
A) 771 B) 154 C) 37 D) 11 E) 4
Explanation: The series is ×1 + 2, ×2 + 3, ×3 + 4, and so on.
Series Pattern Given Series
2 2
2 × 1 + 2 = 4 4
4 × 2 + 3 = 11 11
11 × 3 + 4 = 37 37
37 × 4 + 5 = 153 154
153× 5 + 6 = 771 771
771 × 6 + 7 = 4633 4633
Hence, there should be 153 in place of 154.
Ans: B