Study the sequence/pattern of letters or numbers carefully to work out the pattern on which it is based, and answer what the next item in the sequence must be.
For example, the sequence ‘A,C,E,G,?’ has odd numbered letters of alphabet, therefore, the next item must be ‘I’.
POQ, SRT, VUW, ?
Correct Answer :
YXZ
Solution :
The correct option is YXZ.
To find the next term in the sequence, let us analyze the pattern of letters in each 3-letter group:
1. Look at the positions of the letters in the English alphabet:
- P is the 16th letter, O is the 15th letter, Q is the 17th letter.
- S is the 19th letter, R is the 18th letter, T is the 20th letter.
- V is the 22nd letter, U is the 21st letter, W is the 23rd letter.
2. Notice the internal structure of each group:
- Each group consists of three consecutive letters rearranged in the order: (2nd letter, 1st letter, 3rd letter).
- For example, O, P, Q becomes P, O, Q.
- R, S, T becomes S, R, T.
- U, V, W becomes V, U, W.
3. Notice the progression of the first letter of each group:
- P (16) → S (19) → V (22)
- The first letter skips 3 positions each time (16 + 3 = 19, 19 + 3 = 22).
- Following this pattern, the first letter of the next group should be 22 + 3 = 25, which is Y.
4. The set of three consecutive letters starting with X, Y, Z in standard alphabetical order is X (24), Y (25), Z (26).
- Applying the middle-first-last pattern (2nd letter, 1st letter, 3rd letter) to X, Y, Z gives Y, X, Z.
Therefore, the next item in the sequence is YXZ.
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