A sequence is given, of which one term is incorrect. Select the wrong term from the given alternatives. PC81, SG130, VK179, YO228, BS277, EX326
EX326
The given sequence is PC81, SG130, VK179, YO228, BS277, EX326.
Each term in the sequence consists of two letters followed by a number. To find the incorrect term, we need to analyze the pattern followed by the letters and the numbers separately.
Let's examine the pattern for the first letter and the second letter in each term.
The first letters of the terms are P, S, V, Y, B, E.
Let's look at the position of these letters in the English alphabet (A=1, B=2, ..., Z=26):
| Letter | Alphabet Position |
|---|---|
| P | 16 |
| S | 19 |
| V | 22 |
| Y | 25 |
| B | 2 (which is 26 + 2 = 28 considering wrap-around) |
| E | 5 (which is 26 + 5 = 31 considering wrap-around) |
Now, let's find the difference in the positions of consecutive first letters:
The first letter of each term consistently moves 3 positions forward in the alphabet (with wrap-around from Z to A).
The second letters of the terms are C, G, K, O, S, X.
Let's look at the position of these letters in the English alphabet:
| Letter | Alphabet Position |
|---|---|
| C | 3 |
| G | 7 |
| K | 11 |
| O | 15 |
| S | 19 |
| X | 24 |
Now, let's find the difference in the positions of consecutive second letters:
The second letter of each term moves 4 positions forward in the alphabet for the first five steps, but moves 5 positions forward in the last step. This jump of 5 instead of 4 suggests that the pattern is broken at the last term.
The numbers in the terms are 81, 130, 179, 228, 277, 326.
Let's find the difference between consecutive numbers:
The number in each term consistently increases by 49 from the previous term.
We found that:
The inconsistency lies in the second letter of the last term, EX326. If the pattern for the second letter were consistently +4, the second letter after 'S' (19th position) should be the 19 + 4 = 23rd letter, which is 'W'.
Therefore, the term after BS277 should have been BW326 to follow all established patterns.
The term that does not fit the established pattern is EX326.
Find the missing term in the following series:
2A11, 4D13, 12G17, 48J23, _______
A series is given, with one missing term. Choose the correct option from the given ones that will complete the sequence.
T9, V13, X17, Z21, B25, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6Q9, ____, 20Y23, 27C30
Which option will fill in the blanks and complete the series correctly?
KSH22, MVI26, PZK31, ______
A sequence is given, one of which is incorrect. Choose the wrong term from the given alternatives.
48, 73, 122, 243, 412, 637