Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 2 11 38 197 1172 8227 65806

A. 11 B. 38 C. 197 D. 1172 E.2

2. 3601 3602 1803 604 154 36 12

A. 3602 B. 1803 C. 604 D. 154 E. 365

3. 7.25 47.5 87.5 157.5 247.5 357.5 487.5

A. 37.5 B. 87.5 C. 157.5 D. 7.5 E. 365

4. 1 2 4 9 23 69 186

A. 2 B. 9 C. 23 D. 4 E. 69

5. 1 3 10 36 152 760 4632

A. 3 B. 36 C. 4632 D. 760 E. 152

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 1 4 25 256 3125 46656 823543

A. 4 B. 823543 C. 46656 D. 25 E. 256

7. 1 513 31 61125 253

A. 1 B. 5 C. 31 D. 61 E. 125

8. 119 130 129 154 203 284 405

A. 130 B. 129 C. 154 D. 203 E. 405

9. 150 290 560 1120 2140 4230 8400

A. 2140 B. 560 C. 1120 D. 4230 E. 290

10. 157.5 45 15 6 3 2 1

A. 1 B. 2 C. 6 D. 157.5 E. 45

Answers and Explanation
1. Answer Option D
Explanation - The series is based on the following pattern:
11= 2 × 3 + 5
38= 11 × 4 – 6
197 = 38 × 5 + 7
1172 197 × 6 – 8
1172 is wrong and it should be replaced by 197 × 6 – 8 = 1174
2. Answer Option D
Explanation - The sequence is based on following pattern:
[latex]\frac{3601}{1}[/latex] + 1 = 3602
[latex]\frac{3602}{2}[/latex] + 1 = 1801 + 2 = 1803
[latex]\frac{1803}{3}[/latex] + 3 = 601 + 3 = 604
[latex]\frac{604}{4}[/latex] + 4 = 151 + 4 = 155 [latex]\neq[/latex] [154]
[latex]\frac{155}{5}[/latex] + 5 = 31 + 5 = 36
[latex]\frac{36}{6}[/latex] + 6 = 6 + 6 = 12
3. Answer Option A
Explanation - The series is based on the following pattern:
487.5 – 357.5 = 130
357.5 – 247.5 = 110
247.5 – 157.5 = 90
157.5 – 87.5 = 70
87.5 – 47.5 = [latex]\neq[/latex] [40]
87.5 – 37.5 = 50
37.5 – 7.5 = 30
Clearly, 47.5 is the wrong number. It should be replaced by 37.5.
4. Answer Option E
Explanation -The pattern is :
1 × 3 – 1 = 2
2 × 3 – 2 = 4
4 × 3 – 3 = 9
9 × 3 – 4 = 23
23 × 3 – 5 = 69 – 5 = 64 [latex]\neq[/latex] [69]
64 × 3 – 6 = 192 – 6 = 186
5. Answer Option D
Explanation - The pattern is :
1 × 1 + 2 = 3
3 × 2 + 4 = 10
10 × 3 + 6 = 36
36 × 4 + 8 = 152
152 × 5 +10 = 770 [latex]\neq[/latex] [760]
770 × 6 + 12 = 4632
6. Answer - Option D
Explanation -
The pattern of the number series is:
[latex]{1}^{1}[/latex] = 1
[latex]{2}^{2}[/latex] = 4
[latex]{3}^{3}[/latex] = 27 [latex]\neq[/latex] [25]
[latex]{4}^{4}[/latex] = 256
[latex]{5}^{5}[/latex] = 3125
[latex]{6}^{6}[/latex] = 46656
7. Answer - Option C
Explanation -
The pattern of the number series is:
1 + [latex]{2}^{2}[/latex] = 1 + 4 = 5
5 + [latex]{2}^{3}[/latex] = 5 + 8 = 13
13 + [latex]{2}^{4}[/latex] = 13 + 16 = 29 [latex]\neq[/latex] [31]
29 + [latex]{2}^{5}[/latex] = 29 + 32 = 61
61 + [latex]{2}^{6}[/latex] = 61 + 64 = 125
8. Answer - Option A
Explanation -
The pattern is :
119 + [latex]{1}^{2}[/latex] = 119 + 1 = 120 [latex]\neq[/latex] [130]
120 + [latex]{3}^{2}[/latex] = 120 + 9 = 129
129 + [latex]{5}^{2}[/latex] = 129 + 25 = 154
154 + [latex]{7}^{2}[/latex] = 154 + 49 = 203
203 + [latex]{9}^{2}[/latex] = 203 + 81 = 284
284 + [latex]{11}^{2}[/latex] = 284 + 121 = 405
9. Answer - Option C
Explanation -
The pattern is:
150 × 2 – 1 × 10
= 300 – 10 = 290
290 × 2 – 2 × 10
= 580 – 20 = 560
560 × 2 – 3 × 10 = 1120 – 30
= 1090 [latex]\neq[/latex] [1120]
1090 × 2 – 4 × 10
= 2180 – 40 = 2140
2140 × 2 – 5 × 10
4280 – 50 = 4230
10. Answer - Option A
Explanation -
The pattern is :
[latex]\frac{157.5}{3.5}[/latex] = 45
[latex]\frac{45}{3}[/latex] = 15
[latex]\frac{15}{2.5}[/latex] = 6
[latex]\frac{6}{2}[/latex]= 3
[latex]\frac{3}{1.5}[/latex] = 2
[latex]\frac{2}{1}[/latex] = 2 [latex]\neq[/latex][1]

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 19 68 102 129 145 154

A. 154 B. 129 C. 145 D. 102 E. None of these

2. 2 6 15 30 45 43.5 22.5

A. 6 B. 30 C. 45 D. 15 E. 43.5

3. 20 10 12 15 30 75 225

A. 30 B. 15 C. 12 D. 75 E. 225

4. 29 37 21 43 13 53 5

A. 37 B. 53 C. 13 D. 21 E. 43

5. 3 4 12 45 198 1005 6066

A. 4 B. 6066 C. 45 D. 1005 E. 198

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 3 5 13 43 176 891 5353

A. 5 B. 13 C. 43 D. 176 E. 891

7. 39 43 51 60 87 110 167

A. 167 B. 87 C. 60 D. 110 E. 43

8. 4 5 13 40 105 229 445

A. 4 B. 13 C. 105 D. 445 E. 229

9. 48 72 108 162 243 366

A. 72 B. 108 C. 162 D. 243 E. None of these

10. 5531 5506 5425 5304 5135 4910 4621

A. 5531 B. 5425 C. 4621 D. 5135 E. 5506

Answers and Explanations
1. Answer - Option D
Explanation -
19 + [latex]{7}^{2}[/latex] = 19 + 49 = 66
68 + [latex]{6}^{2}[/latex] = 68 + 36 = 104 [latex]\neq[/latex] [102]
104 + [latex]{5}^{2}[/latex] = 104 + 25 = 129
129 + [latex]{4}^{2}[/latex] = 129 + 16 = 145
145 + [latex]{3}^{2}[/latex] = 145 + 9 = 154
2. Answer - Option E
Explanation -
The pattern of the number series is :
2 × 3 = 6
6 × 2.5 = 15
15 × 2 = 30
30 × 1.5 = 45
45 × 1 = 45 [latex]\neq[/latex] [43.5]
45 × 0.5 = 22.5
3. Answer - Option C
Explanation -
The pattern is :
20 × 0.5 = 10
10 × 1 = 10 [latex]\neq[/latex] [20]
10 × 1.5 = 15
15 × 2 = 30
30 × 2.5 = 75
75 × 3 = 225
4. Answer - Option E
Explanation -
The pattern is:
29 + 1 × 8 = 27
37 – 2 × 8 = 37 – 16 = 21
21 + 3 × 8 = 21 + 24 =45 [latex]\neq[/latex] [43]
45 – 4 × 8 = 45 – 32 = 13
13 + 5 × 8 = 13 + 40 = 53
53 – 6 × 8 = 53 – 48 = 5
5. Answer - Option C
Explanation -
The pattern is :
4 + [latex]{1}^{3}[/latex] = 5
5 + [latex]{2}^{3}[/latex] = 13
13 + [latex]{3}^{3}[/latex] = 40
40 + [latex]{4}^{3}[/latex] = 104 [latex]\neq[/latex] [105]
104 + [latex]{5}^{3}[/latex] = 229
229 + [latex]{6}^{3}[/latex] = 445
6. Answer - Option C
Explanation -
The pattern of the number of series is:
3 × 1 + 2 = 5
5 × 2 + 3 = 13
13 × 3 + 4 = 43
43 × 4 + 5 = 177 [latex]\neq[/latex] [176]
177 × 5 + 6 = 891
7. Answer - Option D
Explanation -
The pattern is :
39 + [latex]{2}^{2}[/latex] = 39 + 4 = 43
43 + [latex]{2}^{3}[/latex] = 43 + 8 = 51
51 + [latex]{3}^{2}[/latex] = 51 + 9 = 60
60 + [latex]{3}^{3}[/latex] = 60 + 9 = 69
87 + [latex]{4}^{2}[/latex] = 87 + 16 = 103 [latex]\neq[/latex] [110]
103 + [latex]{4}^{3}[/latex] = 103 + 64 = 167
8. Answer - Option E
Explanation -
The pattern is :
3 × 1 + [latex]{1}^{2}[/latex] = 3 + 1 = 4
4 × 2 + [latex]{2}^{2}[/latex] = 8 + 4 = 12
12 × 3 + [latex]{3}^{2}[/latex] = 36 + 9 = 45
45 × 4 + [latex]{4}^{2}[/latex] = 180 + 16 = 196 [latex]\neq[/latex] [198]
196 × 5 + [latex]{5}^{2}[/latex] = 980 + 25 = 1005
1005 × 6 + [latex]{6}^{2}[/latex] = 6030 + 36 = 6066
9. Answer - Option
Explanation -
48 ([latex]\frac{3}{2}[/latex]) = 72; 72 × ([latex]\frac{3}{2}[/latex])= 108
108 ([latex]\frac{3}{2}[/latex]) = 162; 162 ([latex]\frac{3}{2}[/latex]) = 243
243 ([latex]\frac{3}{2}[/latex]) = 364.5 [latex]\neq[/latex] 366
10. Answer - Option
Explanation -
The pattern is :
5531 – 5506 = 25 = [latex]{5}^{2}[/latex]
5555 – 5506 = 49 = [latex]{7}^{2}[/latex]
5506 – 5425 = 81 = [latex]{9}^{2}[/latex]
5425 – 5304 = 121 = [latex]{11}^{2}[/latex]
5304 – 5135 = 169 = [latex]{13}^{2}[/latex]
5135 – 4910 = 225 = [latex]{15}^{2}[/latex]
4910 – 4621 = 289 = [latex]{17}^{2}[/latex]
Clearly, 5531 is wrong, which should be substituted by 5555.

Direction: In the following number series, a wrong number is given. Find out that wrong number. 1. 6 7 16 41 90 154 292

A. 7 B. 16 C. 41 D. 90 E. 154

2. 6.5 11.8 22.4 38.3 59.5 87.3 117.8

A. 22.4 B. 59.5 C. 11.6 D. 38.3 E. 87.3

3. 66 91 120 153 190 233 276

A. 120 B. 233 C. 153 D. 276 E. 190

4. 8 11 17 47 128 371 1100

A. 11 B. 47 C. 17 D. 371 E. 128

5. 8 12 24, 46 72 108 152

A. 12 B. 24 C. 46 D. 72 E. None of these

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 8 276 4125 218 343

A. 27 B. 218 C. 125 D. 343 E. None of these

7. 80 42 24 13.5 8.75 6.375 5.1875

A. 8.75 B. 13.5 C. 24 D. 6.375 E. 42

8. 850 843 829 808 788 745 703

A. 843 B. 829 C. 808 D. 788 E. 745

9. 1331 2197 3375 4914 6859 9261 12167

A. 4914 B. 6859 C. 9261 D. 2197 E. 12167

10. 1500 1581 1664 1749 1833 1925 2016

A. 1581 B. 1664 C. 1833 D. 1925 E. 1749

Answers and Explanations
1. Answer - Option E
Explanation -
The pattern of the number of series is:
6 + [latex]{1}^{2}[/latex] = 6 + 1 = 7
7 + [latex]{3}^{2}[/latex] = 7 + 9 = 16
16 [latex]{5}^{2}[/latex] = 16 + 25 = 41
41 + [latex]{7}^{2}[/latex] = 41 + 49 = 90
90 + [latex]{9}^{2}[/latex] = 90 + 81 = 171 [latex]\neq[/latex] [154]
171 + [latex]{11}^{2}[/latex] = 171 + 121 = 292
2. Answer - Option
Explanation -
The pattern is :
6.5 + 5.3 = 11.8
11.8 + 2 × 5.3 = 11.8 + 10.6 = 22.4
22.4 + 3 × 5.3 = 22.4 + 15.9 = 38.3
38.3 + 4 × 5.3 = 38.3 + 21.2 = 59.5
59.5 + 5 × 5.3 = 59.5 + 26.5 = 86 [latex]\neq[/latex] [87.3]
86 + 6 × 5.3 = 86 + 31.8 = 117 .8
3. Answer - Option
Explanation -
The series is based on the following pattern:
66 + 25 = 91
91 + 29 = 120
120 + 33 = 153
153 + 37 = 190
190 + 41 = 231 [latex]\neq[/latex] [233]
231 + 45 = 276
Clearly, 233 is wrong number. It should be 231.
4. Answer - Option C
Explanation -
The pattern of the number series is:
8 + [latex]{3}^{1}[/latex] = 11
11 + [latex]{3}^{2}[/latex] = 11 + 9 = 20 [latex]\neq[/latex] [17]
20 + [latex]{3}^{3}[/latex] = 20 + 27 = 47
47 + [latex]{3}^{4}[/latex] = 47 + 81 = 128
128 + [latex]{3}^{5}[/latex] =128 + 243 = 371
5. Answer - Option C
Explanation -
The pattern is:
8 + 4 × 1 = 12
12 + 4 × 3 = 24
24 + 4 × 5 = 44 [latex]\neq[/latex] [46]
44 + 4 × 7 = 72
72 + 4 × 9 = 108
6. Answer - Option B
Explanation -
[latex]{2}^{3}[/latex] = 8 : [latex]{3}^{3}[/latex] = 27
[latex]{4}^{3}[/latex] = 64 : [latex]{5}^{3}[/latex] = 125
[latex]{6}^{3}[/latex] = 216 [latex]\neq[/latex] [218]
[latex]{7}^{3}[/latex] = 343
7. Answer - Option C
Explanation -
The pattern is:
([latex]\frac{80}{2}[/latex]) +2 = 40 + 2 = 42
([latex]\frac{42}{2}[/latex] ) + 2 = 21 + 2 = 23 [latex]\neq[/latex] [24]
([latex]\frac{23}{2}[/latex] ) + 2 = 11.5 + 2= 13.5
([latex]\frac{13.5}{2}[/latex]) + 2 = 6.75 + 2 = 8.75
([latex]\frac{8.75}{2}[/latex]) + 2 = 4.375 + 2 = 6.375
8. Answer - Option D
Explanation -
The pattern of the number series is:
850 – 1 × 7 = 843
843 – 2 × 7 = 829
829 – 3 × 7 = 808
808 – 4 × 7 = 780 [latex]\neq[/latex] [788]
780 – 5 × 7 = 745
745 – 6 × 7 = 703
9. Answer - Option A
Explanation -
The series is based on the following pattern:
11 × 11 × 11 = 1331
13 × 13 × 13 = 2197
15 ×15 × 15 = 3375
17 × 17 × 17 = 4913 [latex]\neq[/latex] [4914]
19 × 19 × 19 = 6859
Clearly, 4914 is wrong number. It should be replaced by 4913.
10. Answer - Option C
Explanation -
The series is based on the following pattern:
1500 + 81 = 1581
1581 + 83 = 1583
1664 + 85 = 1749
1749 + 87 = 1836 [latex]\neq[/latex] [1833]
1836 + 89 = 1925
1925 + 91 = 2016
Clearly, 1833 is wrong number. It should be replaced by 1836.

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 160 80 120 180 1050 4725 25987.5

A. 60 B. 90 C. 3564 D. 87.5 E. 135

2. 2 10 18 54 162 486 1458

A. 18 B. 54 C. 162 D. 10 E. None of these

3. 214 18 162 62 143 90 106

A. -34 B. 110 C. 10 D. 91 E. 38

4. 250 239 216 181 136 75 4

A. 239 B. 181 C. 75 D. 216 E. 136

5. 3 4 10 34 136 685 4116

A. 22 B. 276 C. 72 D. 374 E. 12

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 3 5 12 38 154 914 4634

A. 1632 B. 1222 C. 1834 D. 3312 E. 1488

7. 4 2.5 3.5 6.5 15.5 41.25 126.75

A. 2.5 B. 3.5 C. 6.5 D. 15.5 E. 41.25

8. 4 6 18 49 201 1011

A. 1011 B. 201 C. 18 D. 49 E. None of these

9. 484 240 120 57 26.5 11.25 3.625

A. 240 B. 120 C. 57 D. 26.5 E. None of these

10. 5 348 564 689 716 780 788

A. 716 B. 788 C. 348 D. 689 E. 780

Answers and Explanations
1. Answer - Option E
Explanation -
The series is based on following pattern:
160 × 0.5 = 80
80 × 1.5 = 120
120 × 2.5 = [300]
300 × 3.5 = 1050
1050 × 4.5 = 4725
4725 × 5.5 = 25947.5
Therefore, the number 180 is wrong.
i.e, According to the question, the new series starts from the number 180 in the same pattern:
180 × 0.5 = 90
90 × 1.5 = [135]
Hence, the number 135 is required answer.
2. Answer - Option D
Explanation -
The pattern is:
2 × 3 = 6 [latex]\neq[/latex] [10]
6 × 3 = 18
18 × 3 = 54
54 × 3 = 162
3. Answer - Option D
Explanation -
The series is based on following pattern:
214 – [latex]{(14)}^{2}[/latex] = 18
18 + [latex]{(12)}^{2}[/latex] = 162
162 – [latex]{(10)}^{2}[/latex] = 62
62 + [latex]{(8)}^{2}[/latex] = [126]
126 – [latex]{(6)}^{2}[/latex] = 90
90 + [latex]{(4)}^{2}[/latex] = 106
Therefore, the number 143 is wrong.
i.e, According to the question, the new series starts from the 143 in the same pattern.
143 – [latex]{(14)}^{2}[/latex] = – 53
– 53 + [latex]{(12)}^{2}[/latex] = [91]
Hence, the number 91 is required answer.
4. Answer - Option E
Explanation -
The pattern is :
250 – 11 = 239
239 – (11× 2 + 1) = 239 – 23 = 216
216 – (11 × 3 + 2) = 216 – 35 = 181
181 – (11 × 4 + 3) = 181 – 47 = 134 [latex]\neq[/latex] [136]
134 – (11 × 5 + 4) = 134 – 59 = 75
75 – (11 × 6 + 5) = 75 – 71 = 4
5. Answer - Option C
Explanation -
The series is based on following pattern:
3 × 1 + 1 = 4
4 × 2 + 2 = 10
10 × 3 + 3 = [33]
33 × 4 + 4 = 136
136 × 5 + 5 = 685
685 × 6 + 6 = 4116
Therefore, the number 34 is wrong.
i.e, According to question, the new series starts from numbers 34 in the same pattern
34 × 1 + 1 = 35
35 × 2 + 2 = [72]
Hence, the number 72 is required answer.
6. Answer - Option C
Explanation -
The series is based on following pattern:
3 × 1 + 2 = 5
5 × 2 + 2 = 12
13 × 3 + 2 = 38
38 × 4 + 2 = 154
154 × 5 + 2 = [772]
772 × 6 + 2 = 4634
Therefore, the number 914 is wrong.
i.e, According to question, the new series is as follows:
914 × 1 + 2 = 916
916 × 2 + 2 = [1834]
1834 × 3 + 2 = 5504
Therefore the required number is 1834
7. Answer - Option C
Explanation -
The pattern of the number series is:
4 × 0.5 + 0.5 = 2 + 0.5 = 2.5
2.5 × 1 + 1 = 3.5
3.5 × 1.5 + 1.5 = 6.75 [latex]\neq[/latex][6.5]
6.75 × 2 + 2 = 15.5
15.5 × 2.5 + 2.5 =38.75 + 2.5 = 41.25
41.25 × 3 + 3 = 123.75 + 3 = 126.75
8. Answer - Option C
Explanation -
4 × 1 + 2 = 4 + 2 = 6
4 × 2 + 3 = 12 + 3 = 15 [latex]\neq[/latex] 18
15 × 3 + 4 = 45 + 4 = 49
49 × 4 + 5 = 196 + 5 = 201
201 × 5 + 6 = 1005 + 6 = 1011
9. Answer - Option B
Explanation -
The pattern of the number series is:
([latex]\frac{484}{2}[/latex]) – 2 = 242 – 2 = 240
([latex]\frac{440}{2}[/latex]) – 2 = 120 – 2 = 118 [latex]\neq[/latex] [120]
([latex]\frac{118}{2}[/latex]) – 2 = 59 – 2 = 57
([latex]\frac{57}{2}[/latex]) -2 = 28.5 – 2 = 26.5
10. Answer - Option A
Explanation -
The pattern of the number series is:
5 + [latex]{7}^{3}[/latex] = 5 + 343 =348
348 + [latex]{6}^{3}[/latex] =348 + 216 =564
564 + [latex]{5}^{3}[/latex] = 564 + 125 = 689
689 + [latex]{4}^{3}[/latex] = 689 + 64 = 753, [latex]\neq[/latex] [716]
753 + [latex]{3}^{3}[/latex] = 753 + 27 = 780

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 6 91 5842935 1175635277 70558

A. 6 B. 70558 C. 584 D. 2935 E. 35277

2. 8424 4212 2106 1051 526.5 263.25 131.625

A. 526.5 B. 1051 C. 4212 D. 8424 E. 263.25

3. 850 600 550 500 475 462.5 456.25

A. 600 B. 550 C. 500 D. 462.5 E. None of these

4. 9050 5675 3478 2147 14181077 950

A. 950 B. 1418 C. 5675 D. 2147 E. 1077

5. 142 119 100 83 65 59 52

A. 65 B. 100 C. 59 D. 119 E. None of these

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 1 4 27 256 3125 46658

A. 46658 B. 4 C. 27 D. 3125 E. None of these

7. ? 4.5 16 25 33 38.5 42 43.5

A. 33 B. 38.5 C. 42 D. 43.5 E. 25

8. 1 2 12 63 316 1704 10446

A. 63 B. 1704 C. 316 D. 10446 E. 2

9. 1 2 6 21 88 505 2676

A. 505 B. 88 C. 2676 D. 21 E. 6

10. 1 2 12 63 316 1704 10446

A. 63 B. 1704 C. 316 D. 10446 E. 2

Answers and Explanations
1. Answer - Option C
Explanation -
The pattern of the number series is:
6 × 7 + [latex]{7}^{2}[/latex] = 42 + 49 = 91
91 × 6 + [latex]{6}^{2}[/latex] = 546 + 36 = 582 [latex]\neq[/latex][584]
582 × 5 + [latex]{5}^{2}[/latex] = 2910 + 25 = 2935
2935 × 4 + [latex]{4}^{2}[/latex] = 11740 + 16 = 11756
11756 × 3 + [latex]{3}^{2}[/latex] = 35268 + 9 = 35277
2. Answer - Option B
Explanation -
The pattern of the number series is:
[latex]\frac{14824}{2}[/latex] = 4212
[latex]\frac{4212}{2}[/latex] = 2106
[latex]\frac{2106}{2}[/latex] = 1053 [latex]\neq[/latex][1051]
[latex]\frac{1053}{2}[/latex] = 526.5
[latex]\frac{526.5}{2}[/latex] = 263.25
3. Answer - Option A
Explanation -
The pattern is:
850 – 200 = 650 [latex]\neq[/latex] [600]
650 – 100 = 550
550 – 50 = 500
500 – 25 = 475
475 – 12.5 = 462.5
4. Answer - Option C
Explanation -
The pattern of the number series is:
9050 – [latex]{15}^{3}[/latex] = 9050 – 3375 = 5675
5675 – [latex]{13}^{3}[/latex] = 5675 – 2197 = 3478
3478 – [latex]{11}^{3}[/latex] = 3478 – 1331 = 2147
2147 – [latex]{9}^{3}[/latex] = 2147 – 729= 1418
1418 – [latex]{7}^{3}[/latex] = 1418 – 343 = 1075 [latex]\neq[/latex] [1077]
5. Answer - Option A
Explanation -
The pattern is:
142 – 23 = 119
119 – 19 = 100
100 – 17 = 83
83 – 13 = 70 [latex]\neq[/latex] [65]
70 – 11 = 59
59 – 7 = 52
6. Answer - Option A
Explanation -
The series is based on the following pattern:
[latex]{1}^{1}[/latex] = 1
[latex]{2}^{2}[/latex] = 4
[latex]{3}^{3}[/latex] = 27
[latex]{4}^{4}[/latex] = 256
[latex]{5}^{5}[/latex] = 3125
[latex]{6}^{6}[/latex] = [46656]
Hence, 46658 is the wrong number
7. Answer - Option E
Explanation -
The pattern of the number series is:
4.5 + 11.5 = 16
16 + 9.5 = 25.5 [latex]\neq[/latex] [25]
25.5 + 7.5 = 33
33 + 5.5 = 38.5
8. Answer - Option
Explanation -
The pattern is:
1 × 1 + [latex]{1}^{3}[/latex] = 2
2 × 2 + [latex]{2}^{3}[/latex] = 12
12 × 3 + [latex]{3}^{3}[/latex] = 63
63 × 4 + [latex]{4}^{3}[/latex] = 316
316 × 5 + [latex]{5}^{3}[/latex] = 1705 [latex]\neq[/latex] [1704]
9. Answer - Option A
Explanation -
The pattern is:
1 × 1 + 1 = 2
2 × 2 + 2 = 6
6 × 3 + 3 = 21
21 × 4 + 4 = 88
88 × 5 + 5 = 440 + 5 = 445
= 445 [latex]\neq[/latex] [505]
445 × 6 + 6 = 2670 + 6 = 2676
10. Answer - Option B
Explanation -
The pattern is:
1 × 1 + [latex]{1}^{3}[/latex] = 2
2 × 2 + [latex]{2}^{3}[/latex] = 12
12 × 3 + [latex]{3}^{3}[/latex] = 63
63 × 4 + [latex]{4}^{3}[/latex] = 316
316 × 5 + [latex]{5}^{3}[/latex] = 1705 [latex]\neq[/latex] [1704]

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 1 3 6 11 20 39 70

A. 3 B. 39 C. 11 D. 20 E. 6

2. 1 8 28 99 412 2075 12460

A. 28 B. 99 C. 412 D. 2075 E. 12460

3. 10 8 13 35 135 671 4007

A. 8 B. 671 C. 135 D. 13 E. 35

4. 11 14 22 37 68 96 144

A. 37 B. 68 C. 96 D. 22 E. 144

5. 12 237 406 527 604 657

A. 237 B. 406 C. 527 D. 657 E. None of these

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 12000 2395 472 89.8 12.96 -2.408 -5.4816

A. -5.4816 B. 472 C. 12.96 D. - 2.408 E. 2395

7. 125 75 45 25 16.2 9.72 5.832

A. 25 B. 45 C. 9.72 D. 16.2 E. 75

8. 144 215 540 1890 8505 46777.5 304053.75

A. 215 B. 540 C. 1890 D. 8505 E. 46777.5

9. 15 28 43 60 79 101 123

A. 28 B. 43 C. 60 D. 101` E. 123

10. 150 148 143 133 116 80 53

A. 133 B. 116 C. 80 D. 148 E. 143

Answers and Explanations
1. Answer - Option D
Explanation -
The series is based on following pattern:
2 × 3 = 6
6 × 3 = 18
18 × 6 = 108 [latex]\div[/latex][109]
108 × 18 =1944
1944 × 108 = 209952
Hence, 109 is the wrong number and it should be replaced by 108.
2. Answer - Option
Explanation - E
The pattern of the given series is :
1 × 1 + 7 × 1 = 1 + 7
8 × 2 + 6 × 2 = 16 + 12 = 28
28 × 3 + 5 × 3 = 84 + 15 = 99
99 × 4 + 4 × 4 = 396 + 16 = 412
412 × 5 + 3 × 5 = 2060 + 15 = 2075
2075 × 6 + 2 × 6 = 12450 + 12
= 12462 [latex]\neq[/latex][12460]
3. Answer - Option C
Explanation -
The pattern is:
10 × 1 – 2 = 8
8 × 2 – 3 = 13
13 × 3 – 4 = 35
35 × 4 – 5 = 135
135 × 5 – 6 = 675 – 6
= 669 [latex]\neq[/latex] [671]
669 × 6 – 7 = 4014 – 7 = 4007
4. Answer - Option B
Explanation -
The pattern is :
11 + 1 × 3 = 11 + 3 = 14
14 + 2 × 4 = 14 + 8 = 22
22 + 3 × 5 = 22 + 15 = 37
37 + 4 × 6 = 37 + 24 = 61 [latex]\neq[/latex] [68]
61 + 5 × 7 = 61 + 35 = 96
96 + 6 × 8 = 96 + 48 = 144
5. Answer - Option E
Explanation -
The series is based on the following pattern:
12 + [latex]{15}^{2}[/latex] = 12 + 225 = 237
237 + [latex]{13}^{2}[/latex] = 237 + 169 = 406
406 + [latex]{11}^{2}[/latex] = 406 + 121 = 527
527 + [latex]{9}^{2}[/latex] = 527 + 81 = 608 [latex]\neq[/latex] [604]
608 + [latex]{7}^{2}[/latex] = 608 + 49 = 657
Hence, 604 is the wrong number
6. Answer - Option B
Explanation -
The pattern of the given series is :
([latex]\frac{12000}{5}[/latex]) – 5 = 2400 – 5 = 2395
([latex]\frac{2395}{5}[/latex]) – 5 = 479 – 5 = 474 [latex]\neq[/latex] [472]
([latex]\frac{4474}{5}[/latex]) – 5 = 94.8 – 5 = 89.8
([latex]\frac{89.8}{5}[/latex]) – 5 = 17.96 – 5 = 12.96
7. Answer - Option A
Explanation -
The pattern is:
125 × ([latex]\frac{3}{5}[/latex]) =75
75 × ([latex]\frac{3}{5}[/latex]) = 45
45 × ([latex]\frac{3}{5}[/latex]) = 27 [latex]\neq[/latex][25]
27 × ([latex]\frac{3}{5}[/latex]) = 16.2
16.2 × ([latex]\frac{3}{5}[/latex]) = 9.72
8. Answer - Option A
Explanation -
The pattern of the given series is :
144 × 1.5 = 216 [latex]\neq[/latex] [215]
216 × 2.5 = 540
540 × 3.5 = 1890
1890 × 4.5 = 8505
8505 × 5.5 = 46777.5
9. Answer - Option D
Explanation -
The pattern is:
15 + 13 = 28
28 + 15 = 43
43 + 17 = 60
60 + 19 = 79
79 + 21 = 100 [latex]\neq[/latex] [101]
10. Answer - Option C
Explanation -
The pattern is:
150 – 2 = 148
148 – 5 = ( 2 + 3) = 143
143 – 10 = (5 + 5) = 133
133 – 17 = (10 + 7) = 116
116 – 26 = (17 + 9) = 90 [latex]\neq[/latex] [80]
= 90 – 37 = (26 + 11) = 53

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 16 19 21 30 46 71 107

A. 19 B. 21 C. 30 D. 46 E. 71

2. 16 4 2 1.5 1.75 1.875

A. 1.875 B. 1.75 C. 1.5 D. 2 E. 4

3. 17 17.25 18.25 20.75 24.5 30.75

A. 23.25 B. 24.25 C. 24.5 D. 24.75 E. None of these

4. 18 119 708 3534 14136 42405

A. 708 B. 3534 C. 14136 D. 42405 E. None of these

5. 18 21 2535 52 78 115

A. 35 B. 52 C. 78 D. 21 E. 115

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 18000 3600 720 142.2 28.8 5.76

A. 28.8 B. 3600 C. 5.76 D. 42.2 E. None of these

7. 2 54 300 1220 3674 7350

A. 3674 B. 1220 C. 300 D. 54 E. None of these

8. 2 13 27 113 561 3369 23581

A. 13 B. 27 C. 113 D. 561 E. 3369

9. 2 3 11 38 102 229 443

A. 11 B. 229 C. 102 D. 38 E. 3

10. 2 3 6 18 109 1944 209952

A. 3 B. 6 C. 18 D. 109 E. 1944

Answers and Explanations
1. Answer - Option A
Explanation -
The series is based on the following pattern:
107 – 71 = 36 = [latex]{6}^{2}[/latex]
71 – 46 = 25 = [latex]{5}^{2}[/latex]
46 – 30 = 16 = [latex]{4}^{2}[/latex]
30 – 21 = 9 = [latex]3{}^{2}[/latex]
21 – 19 = 2 [latex]\neq[/latex] [latex]{2}^{2}[/latex]
19 should be replaced by 17 for which 21 – 17 = [latex]{2}^{2}[/latex]
2. Answer - Option B
3. Answer - Option B
Explanation -
The original series is based on following pattern:
17 + 0.25 × [latex]{1}^{2}[/latex] = 17.25
17.25 + 0.25 × [latex]{2}^{2}[/latex] = 18.25
18.25 + 0.25 × [latex]{3}^{2}[/latex] = [20.50]
20.50 + 0.25 × [latex]{4}^{2}[/latex] = 24.50
24.50 + 0.25 × [latex]{5}^{2}[/latex] = 30.75
Therefore, the number 20.75 is wrong. Hence, the new series is as follows:
20.75 + 0.25 × [latex]{1}^{2}[/latex] = 21.00 ------ [latex]{2}^{nd}[/latex]. term
21.00 + 0.25 × [latex]{2}^{2}[/latex] = 22.00 ------[latex]{3}^{rd}[/latex].term
22.00 + 2.25 × [latex]{3}^{2}[/latex] = 24.25 ------[latex]{4}^{th}[/latex] term
Therefore, the fourth term of the new series is 24.25
4. Answer - Option B
Explanation -
The series is based on the following pattern:
18 × 7 – 7 = 126 – 7 = 119
119 × 6 – 6 = 714 -708
708 × 5 – 5 = 3540 – 5 = 3535 [latex]\neq[/latex] [3534]
3535 × 4 – 4 = 14140 – 4 = 14136
Hence 3534 is the wrong number.
5. Answer - Option C
Explanation -
The pattern is:
7 + [latex]{1}^{3}[/latex] = 7 + 1 = 8
8 + [latex]{3}^{3}[/latex] = 8 + 27 = 35
35 + [latex]{5}^{3}[/latex] = 35 + 125 = 160
160 + [latex]{7}^{3}[/latex] = 160 + 343 = 503 [latex]\neq[/latex] [505]
503 + [latex]{9}^{3}[/latex] = 503 + 729 = 1232
1232 + [latex]{11}^{3}[/latex] = 1232 + 1331 = 2563
6. Answer - Option D
Explanation -
The series is based on the following pattern:
[latex]\frac{1800}{5}[/latex] = 3600
[latex]\frac{3600}{5}[/latex] = 720
[latex]\frac{720}{5}[/latex] = 144 [latex]\neq[/latex] [142.5]
[latex]\frac{144}{5}[/latex] = 28.3
[latex]\frac{28.8}{5}[/latex] = 5.76
Hence 142.5 is the wrong number.
7. Answer - Option A
Explanation -
2 × 6 + 7 × 6 = 12 + 42 = 54
54 × 5 + 6 × 5 = 270 + 30 = 300
300 × 4 + 5 × 4 = 1200 + 20 = 1220
1220 × 3 + 4 × 3 = 3660 + 12 = 3672 [latex]\neq[/latex] [3674]
3672 × 2 + 3 × 2 = 7344 + 6 =7 350
8. Answer - Option A
Explanation -
The series is based on following pattern:
2 × 2 + 7 = 11 (not 13)
11 × 3 – 6 = 27
27 × 4 + 5 = 113
113 × 5 – 4 = 561
Obviously, the number 13 is wrong and it should be replaced with 11.
9. Answer - Option B
Explanation -
The sequence is based on following pattern:
3 – 2 = [latex]{1}^{3}[/latex]
11 – 3 = 8 = [latex]{2}^{3}[/latex]
38 – 11 = [latex]{27}^{3}[/latex]
102 – 38 = 64 = [latex]{4}^{3}[/latex]
But 229 - 102 = 127 [latex]\neq[/latex] [latex]{5}^{3}[/latex]
227 - 102 = 125 = [latex]{5}^{3}[/latex]
443 – 227 = 125 = [latex]{6}^{3}[/latex]
Obviously 229 is the wrong number.
10. Answer - Option B

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 2 4 5 8 13 21 34

A. 4 B. 5 C. 8 D. 13 E. 21

2. 2 6 16 38 84 176 368

A. 6 B. 16 C. 38 D. 84 E. 176

3. 2 6 24 96 285 568 567

A. 6 B. 96 C. 24 D. 568 E. 567

4. 2 6 2496 285 568 567

A. 6 B. 96 C. 24 D. 568 E. 567

5. 2 7 18 45 99 209 431

A. 172 B. 171 C. 174 D. 75 E. None of these

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 2222 1879 1663 1538 1474 1447 1440

A. 1879 B. 1538 C. 1474 D. 1447 E. 1440

7. 3 10 33 111 349 1072 3252

A. 33 B. 111 C. 349 D. 1072 E. 10

8. 3 10 33 111 349 1072 3252

A. 33 B. 111 C. 349 D. 1072 E. 10

9. 3 35 226 1160 4660 13998

A. 13998 B. 4660 C. 226 D. 1160 E.

10. 3 4 13 38 87 166 289

A. 38 B. 13 C. 87 D. 166 E. 4

Answers and Explanations
1. Answer - Option A
Explanation -
The series is based on following pattern:
2 + 3 = 5
5 + 3 = 8
8 + 5 = 13
13 + 8 = 21
21 + 13 = 34
Obviously, the number 4 is wrong and it should be replaced with 3.
2. Answer - Option E
3. Answer - Option C
Explanation -
The pattern is:
2 × 6 – 6 = 6
6 × 5 – 5 = 25 [latex]\neq[/latex] [24]
24 × 4 – 4 = 96
96 × 3 – 3 = 285
4. Answer - Option B
Explanation -
The pattern is:
2 × 6 – 6 = 6
6 × 5 – 5 = 25 [latex]\neq[/latex] [24]
25 × 4 – 4 = 96
96 × 3 – 3 = 285
5. Answer - Option A
Explanation -
The original series is based on following pattern:
2 × 2 +3 = 7
7 × 2 + 5 = [19]
19 × 2 + 7 = 45
45 × 2 + 9 = 99
99 × 2 + 11 = 209
209 × 2 +13 = 431
Therefore, the number 18 is wrong. Hence, the new series is as follows:
18 × 2 + 3 = 39 ---------[latex]{2}^{nd}[/latex]. term
39 × 2 + 5 = 83 --------[latex]{3}^{rd}[/latex] term
83 × 2 + 7 = [173 ------[latex]{4}^{th}[/latex] term]
173 × 2 + 9 = 355
Therefore, the fourth term of the new series is 173.
6. Answer - Option E
Explanation -
The pattern of the given series is :
2222 – [latex]{7}^{3}[/latex] = 2222 – 343 = 1879
1879 – 63 = 1879 – 216 = 1663
1663 – [latex]{5}^{3}[/latex] = 1663 – 125 = 1538
1538 – [latex]{4}^{3}[/latex] = 1538 – 64 = 1474
1474 – [latex]{3}^{3}[/latex] = 1474 – 27 = 1447
1447 – [latex]{2}^{3}[/latex] = 1447 – 8 = 1439 [latex]\neq[/latex] [1440]
7. Answer - Option A
Explanation -
The pattern is:
3 × 3 + [latex]{1}^{2}[/latex] = 9 + 1 = 10
10 × 3 + [latex]{2}^{2}[/latex] = 30 + 4 = 34 [latex]\neq[/latex] [33]
34 × 3 + [latex]{3}^{2}[/latex] = 102 + 9 = 111
111 × 3 + [latex]{4}^{2}[/latex] = 333 + 16 = 349
349 × 3 + [latex]{5}^{2}[/latex] = 1047 + 25 = 1072
8. Answer - Option A
Explanation -
The pattern is:
3 × 3 + [latex]{1}^{2}[/latex] = 9 + 1 = 10
10 × 3 + [latex]{2}^{2}[/latex] = 30 + 4 = 34 [latex]\neq[/latex] [34]
34 × 3 + [latex]{3}^{2}[/latex] = 102 + 9 = 111
111 × 3 + [latex]{4}^{2}[/latex] = 333 + 16 = 349
349 × 3 + [latex]{5}^{2}[/latex] = 1047 + 25 = 1072
9. Answer - Option C
Explanation -
The series is based on the following pattern:
3 × 7 + 2 × 7 = 21 + 14 = 35
35 × 6 + 3 × 6= 210 + 18 = 228 [latex]\neq[/latex] [226]
228 × 5 + 4 × 5 = 1140 + 20 = 1160
1160 × 4 + 5 × 4 = 4640 + 20 = 4660
4660 × 3 + 6 × 3 = 13980 + 18 = 13998
Hence, 226 is the wrong number.
10. Answer - Option D
Explanation -
The series is based on following pattern:
4 – 3 = [latex]{2}^{2}[/latex]
13 – 4 = 9 = [latex]{3}^{2}[/latex]
38 – 13 = 25 = [latex]{5}^{2}[/latex]
87 – 38 = 49 = [latex]{7}^{2}[/latex]
168 – 87 = 81 = [latex]{9}^{2}[/latex]
289 – 168 = 121 = [latex]{11}^{2}[/latex]
Obviously, 166 is wrong number.

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 3 9 23 99 479 2881 20159

A. 2881 B. 9 C. 23 D. 99 E. 479

2. 32 34 37 46 62 87 123

A. 34 B. 37 C. 62 D. 87 E. 46

3. 33 321 465 537 573 590 600

A. 321 B. 465 C. 573 D. 537 E. 590

4. 37 47 52 67 87 112 142

A. 47 B. 52 C. 67 D. 87 E. 112

5. 4 2 3.5 7.5 26.25 118.125

A. 118.125 B. 26.25 C. 3.5 D. 2 E. 7.5

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 4 5 9 29 111 556 3325

A. 5 B. 9 C. 29 D. 111 E. 556

7. 4 24 161 965 4795 19176 57525

A. 161 B. 965 C. 57525 D. 19176 E. None of these

8. 4 3 4.5 8.5 20 53 162.5

A. 3 B. 4.5 C. 8.5 D. 20 E. 53

9. 4 6 12 30 75 315 1260

A. 315 B. 75 C. 12 D. 6 E. 30

10. 4444 2224 1114 556 281,5 142.75 73.375

A. 2224 B. 281.5 C. 1114 D. 556 E. 142.75

Answers and Explanations
1. Answer - Option D
Explanation -
The series is based on following pattern:
3 × 2 + 3 = 9
9 × 3 – 4 = 23
23 × 4 + 5 = 97 (not 99)
97 × 5 – 6 = 479
Obviously, the number 99 is wrong and it should be replaced with 97.
2. Answer - Option A
Explanation -
The pattern of the number series is:
32 + [latex]{1}^{2}[/latex] = 32 + 1 = 33 [latex]\neq[/latex] [34]
33 + [latex]{2}^{2}[/latex] = 33 + 4 = 37
37 + [latex]{3}^{2}[/latex] = 37 + 9 = 46
46 + [latex]{4}^{2}[/latex] = 46 + 16 = 62
62 + [latex]{5}^{2}[/latex] = 62 + 25 = 87
3. Answer - Option E
Explanation -
The pattern of the number series is:
33 + 288 = 321
321 + 144 = 465
465 + 72 = 537
537 + 36 = 573
573 + 18 = 591 [latex]\neq[/latex] [590]
591 + 9 = 600
4. Answer - Option A
Explanation -
The pattern of the number series is:
37 + 1 × 5 = 42 [latex]\neq[/latex] [47]
42 + 2 × 5 = 52
52 + 3 × 5 = 67
67 + 4 × 5 = 87
87 + 5 × 5 = 112
112 + 6 × 5 = 142
5. Answer - Option C
6. Answer - Option C
7. Answer - Option B
Explanation -

The pattern of the given series is :
The pattern is :
4 × 8 – 8 = 32 – 8 = 24
24 × 7 – 7 = 168 – 7 = 161
161 × 6 – 6 = 966 – 6 = 960 [latex]\neq[/latex] [965]
960 × 5 – 5 = 4800 – 5 = 4795
8. Answer - Option
Explanation -
The pattern of the given series is :
4 × 0.5 + 1 = 2 + 1 = 3
3 × 1 + 1.5 = 3 + 1.5 = 4.5
4.5 × 1 + 2 = 6.75 + 2
= 8.75 [latex]\neq[/latex] [8.5]
8.75 × 2 + 2.5 = 17.5 + 2.5 = 20
20 × 2.5 + 3 = 50 + 3 = 53
9. Answer - Option B
10. Answer - Option D
Explanation -
The pattern of the number series is:
([latex]\frac{4444}{2}[/latex]) + 2 = 2224
([latex]\frac{2224}{2}[/latex]) + 2 =1114
([latex]\frac{1114}{2}[/latex]) + 2 = 559 [latex]\neq[/latex] [556]
([latex]\frac{559}{2}[/latex]) + 2 = 2815

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 5 4 6 15 56 285 1644

A. 56 B. 285 C. 6 D. 15 E. 4

2.50 51 47 56 42 65 29

A. 51 B. 47 C. 56 D. 42 E. 65

3. 6 4 58.5 18 48 139

A. 8.5 B. 48 C. 139 D. 8.5 E. 5

4. 6 49 305 1545 6196 18603 37218

A. 6169 B. 49 C. 305 D. 1547 E. 18603

5. 6 7 9 13 26 37 69

A. 7 B. 26 C. 69 D. 37 E. 9

Direction: In the following number series, a wrong number is given. Find out that wrong number.
6. 68 10 42 146 770 4578

A. 868 B. 8872 C. 858 D. 8872 E. None of these

7. 7 8 35 160 505 1232 2563

A. 335 B. 160 C. 505 D. 1232 E. 2563

8. 7 9 16 25 41 68 107 173

A. 107 B. 16 C. 41 D. 68 E. 254

9. 7 18 40 106 183 282 403

A. 18 B. 282 C. 40 D. 106 E. 183

10. 7 4 6 9 20 52.5 160.5

A. 6 B. 4 C. 20 D. 9 E. 52.5

Answers and Explanations
1. Answer - Option B
Explanation -
The pattern is:
5 × 1 – 1 = 5 – 1 = 4
4 × 2 – 2 = 8 – 2 = 6
6 × 3 – 3 = 18 – 3 = 15
15 × 4 – 4 = 60 – 4 = 56
56 × 5 – 5 = 280 – 5 = 275 [latex]\neq[/latex][285]
275 × 6 – 6 = 1650 – 6 = 1644
2. Answer - Option D
Explanation -
The series is based on following pattern:
50 + [latex]{1}^{2}[/latex] = 51
51 – [latex]{2}^{2}[/latex] = 47
47 + [latex]{3}^{2}[/latex] = 56
56 – [latex]{4}^{2}[/latex] = 40 (not 42)
42 + [latex]{5}^{2}[/latex] = 65 Obviously, the number 42 wrong and it should be replace with 40.
3. Answer - Option B
Explanation -
The pattern is:
6 × 0.5 + 1 = 3 + 1 = 4
4 × 1 + 1= 4 + 1 = 5
5 × 1.5 + 1 = 7.5 + 1 = 8.5
8.5 × 2 + 1 = 17 + 1 = 18
18 × 2.5 + 1 = 45 + 1 = 46 [latex]\neq[/latex] [48]
46 × 3 + 1 = 138 + 1 = 139
4. Answer - Option C
Explanation -
The pattern of the number series is:
6 × 7 + 1 × 7 = 49
49 × 6 + 2 × 6 = 306 [latex]\neq[/latex] [305]
306 × 5 + 3 × 5= 1545
1545 × 4 + 4 × 4 = 6196
6196 × 3 + 5 × 3 = 18603
5. Answer - Option B
Explanation -
The pattern is :
6 + 1 = 7
7 + 1 × 2 = 9
9 + 2 × 2 = 13
13 + 8 = 21 [latex]\neq[/latex] [26]
21 + 16 = 37
37 + 32 = 69
6. Answer - Option
Explanation -
The original series is based on following pattern:
6 × 1 + 1 × 2 = 8
8 × 2 + 2 × 3 = 10
10 × 3 + 3 × 4 = 42
42 × 4 – 4 × 5 = 148
148 × 5 + 5 × 6 = 770
770 × 6 – 6 × 7 = 4578
Therefore, the number 146 is wrong. Hence, the new series is as follows:
146 × 1 + 1 × 2 = 148 ---- [latex]{2}^{nd}[/latex] term
148 × 2 - 2 × 3 = 290 -----[latex]{3}^{rd}[/latex]. term
290 × 3 + 3 × 4 = [882 ------[latex]{4}^{th}[/latex]. term]
7. Answer - Option D
Explanation -
The pattern is:
18 + 2 = 20 [latex]\neq[/latex][21]
20 + 5 = (2 + 3) = 25
25 + 10 = (5 + 5) = 35
35 + 17 = (10 + 7) = 52
52 + 26 = (17 + 9) = 78
78 + 37 = (26 + 1) = 115
8. Answer - Option A
Explanation -
The series is based on the following pattern:
16 + 9 = 7
25 = 16 + 9
41= 16 = 25
i.e, 68 [latex]\neq[/latex] 25 + 41
9. Answer - Option C
Explanation -
The pattern of the number series is:
7 + 1 × 11 = 7 + 11 = 18
18 + 3 × 11 = 18 + 33 = 51 [latex]\neq[/latex] [40]
51 + 5 × 11 = 51 + 55 = 106
106 + 7 × 11 = 106 + 77 = 183
183 + 9 × 11 = 183 + 99 = 282
10. Answer - Option A

Direction: In the following number series, a wrong number is given. Find out that wrong number.
1. 8 4 4 6 12 28 90

A. 18 B. 42 C. 21 D. 24 E. None of these

2. 8 21 47 86 140 203 281

A. 47 B. 86 C. 140 D. 203 E. None of these

3. 8 5 6.5 11 26 68 207.5

A. 68 B. 6.5 C. 11 D. 26 E. 207.5

4. 9 10 18 45 109 235 450

A. 10 B. 9 C. 18 D. 109 E. 235

5. 9 10 18 45 109 235 450

A. 18 B. 109 C. 269 D. 661 E. 146

6. 950 661 436 269 146 65 16

A. 436 B. 65 C. 269 D. 661 E. 146

Answers and Explanations
1. Answer - Option C
Explanation -
The original series is based on following pattern:
8 × ([latex]\frac{1}{2}[/latex]) = 4
4 × 1 = 4
4 × 1.5 = 6
6 × 2 = 12
12 × 2.5 = [30]
30 × 3 = 90
Therefore, the number 28 is wrong. Hence, the new
series is as follows:
28 × ([latex]\frac{1}{2}[/latex]) = 14 ......[latex]{2}^{nd}[/latex] term
14 × 1 = 14 --------[latex]{3}^{rd}[/latex]. term
14 × 1.5 = 21 – [latex]{4}^{th}[/latex] term.
21 × 2 = 42
Therefore, the fourth term of new series is 21.
2. Answer - Option c
Explanation -
The pattern is :
8 + 1 × 13 = 21
21 + 2 × 13 = 21 + 26 = 47
47 + 3 × 13 = 47 + 39 = 86
86 + 4 × 13 = 86 + 52 = 138 [140]
138 + 5 × 13 = 138 + 65 = 203
203 + 6 × 13 = 203 + 78 = 281
3. Answer - Option C
Explanation -
The pattern of the number series is:
8 × 0.5 + 1 = 5
5 × 1 + 1.5 = 6.5
6.5 × 1.5 + 2 = 9.75 + 2 = 11.75 [latex]\neq[/latex] [11]
11.75 × 2 + 2.5 = 23.5 + 2.5 = 26
26 × 2.5 + 3 = 68
4. Answer - Option E
Explanation -
(e) The pattern is:
9 + [latex]{1}^{3}[/latex] = 10
10 + [latex]{2}^{3}[/latex] = 10 + 8 = 18
18 + [latex]{3}^{3}[/latex] = 18 + 27 = 45
45 + [latex]{4}^{3}[/latex] = 45 + 64 = 109
109 + [latex]{5}^{3}[/latex] = 109 + 125 = 234 [latex]\neq[/latex] [235]
234 + [latex]{6}^{3}[/latex] = 234 + 216 = 450
5. Answer - Option E
Explanation -
The pattern is:
9 + [latex]{1}^{3}[/latex] = 10
10 + [latex]{2}^{3}[/latex] = 10 + 8 = 18
18 + [latex]{3}^{3}[/latex] = 18 + 27 = 45
45 + [latex]{4}^{3}[/latex] = 45 + 64 = 109
109 + [latex]{5}^{3}[/latex] = 109 + 125 = 234 [latex]\neq[/latex] [235]
234 + [latex]{6}^{3}[/latex] = 234 + 216 = 450
6. Answer - Option E
Explanation -
The pattern is :
950 – 661 = 289 = [latex]{17}^{2}[/latex]
661 – 436 = 225 = [latex]{15}^{2}[/latex]
436 – [269] =167 [latex]{13}^{2}[/latex]
i.e, 436 – 267 = 167 = [latex]\neq[/latex] [latex]{13}^{2}[/latex]
267 – 146 = 121 = [latex]{11}^{2}[/latex]
146 – 65 = 81 = [latex]{9}^{2}[/latex]