Wrong Number Series Tricks for Bank Exams

A wrong-number series is a normal series with one term changed. Find the rule from the terms that agree with each other, then recompute every term.

Method

  • Use the first three or four terms to guess the rule, then confirm it on the rest.
  • Recompute every term from its neighbour; the one that doesn’t match is the wrong number.
  • The wrong term breaks two steps — the step into it and the step out of it. If only the last step breaks, the last term is wrong.
  • If your rule fails in two separate places, the rule is wrong, not the series. Try the next pattern.

Worked examples

  • 2, 5, 14, 41, 125, 365 → rule × 3 − 1: 2 → 5 → 14 → 41 → 122 → 365. 125 should be 122.
  • 16, 4, 8, 2, 6, 1 → rule ÷ 4, × 2 alternating: 16 → 4 → 8 → 2 → 4 → 1. 6 should be 4.
  • 256, 400, 576, 788, 1024 → squares of 16, 20, 24, 28, 32. 788 should be 784 (28²).

Squares 1–30

1²
1
2²
4
3²
9
4²
16
5²
25
6²
36
7²
49
8²
64
9²
81
10²
100
11²
121
12²
144
13²
169
14²
196
15²
225
16²
256
17²
289
18²
324
19²
361
20²
400
21²
441
22²
484
23²
529
24²
576
25²
625
26²
676
27²
729
28²
784
29²
841
30²
900

Cubes 1–20

1³
1
2³
8
3³
27
4³
64
5³
125
6³
216
7³
343
8³
512
9³
729
10³
1000
11³
1331
12³
1728
13³
2197
14³
2744
15³
3375
16³
4096
17³
4913
18³
5832
19³
6859
20³
8000

More shortcuts and tables

Looking for the exam itself? See the exam patterns for SBI, IBPS and RRB.