Question Details

Which letter cluster will replace the question mark (?) to complete the given series?
YFJW, BJEC, ?, HRUO, KVPU

Options

A

EHSI

B

TDFI

C

NWRF

D

ENZI

Show Answer

Correct Answer :

Option D

ENZI

Solution :

To find the letter cluster that replaces the question mark (?) to complete the given series, we need to analyze the pattern of each letter position in the clusters:
YFJW, BJEC, ?, HRUO, KVPU

Let us write down the alphabetical positions (where A = 1, B = 2, ..., Z = 26) of the letters in each known cluster:

1st Letter of each cluster:
Y (25), B (2), ?, H (8), K (11)
Let us find the difference between consecutive first letters:
From Y to B: 25+3=282 (since 28-26=2, which is B). So, the pattern is +3.
Let's check the end of the series: From H (8) to K (11) is 8+3=11 (K).
Applying this +3 pattern to B (2):
2+3=5, which corresponds to the letter E.
Checking if E (5) to H (8) fits: 5+3=8 (H). This matches perfectly.

2nd Letter of each cluster:
F (6), J (10), ?, R (18), V (22)
Let us find the difference between consecutive second letters:
From F (6) to J (10): 6+4=10 (pattern is +4).
From R (18) to V (22): 18+4=22.
Applying +4 to J (10):
10+4=14, which corresponds to the letter N.
Checking if N (14) to R (18) fits: 14+4=18 (R). This matches.

3rd Letter of each cluster:
J (10), E (5), ?, U (21), P (16)
Let us find the difference between consecutive third letters:
From J (10) to E (5): 10-5=5 (pattern is -5).
From U (21) to P (16): 21-5=16.
Applying -5 to E (5):
5-5=026, which corresponds to the letter Z.
Checking if Z (26) to U (21) fits: 26-5=21 (U). This matches.

4th Letter of each cluster:
W (23), C (3), ?, O (15), U (21)
Let us find the difference between consecutive fourth letters:
From W (23) to C (3): 23+6=293 (since 29-26=3, which is C). So, the pattern is +6.
From O (15) to U (21): 15+6=21.
Applying +6 to C (3):
3+6=9, which corresponds to the letter I.
Checking if I (9) to O (15) fits: 9+6=15 (O). This matches.

Combining all the derived letters, we get ENZI.

Therefore, the correct option is ENZI.

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