This question requires identifying a pattern in letter sequences based on their position in the English alphabet and applying that pattern to find the missing related sequence.
Alphabetical Pattern Identification
Let's analyze the relationship between the given pairs of letter sequences:
- KARJ related to NDUM
- PLBF related to SOEI
We need to find the relationship between SCHQ and another sequence.
We examine the position of each letter in the alphabet (A=1, B=2, ..., Z=26).
Analyzing KARJ to NDUM
The letter positions are:
- K is the 11th letter.
- A is the 1st letter.
- R is the 18th letter.
- J is the 10th letter.
And for NDUM:
- N is the 14th letter.
- D is the 4th letter.
- U is the 21st letter.
- M is the 13th letter.
Comparing positions:
- K (11) $\to$ N (14): The difference is $14 - 11 = 3$.
- A (1) $\to$ D (4): The difference is $4 - 1 = 3$.
- R (18) $\to$ U (21): The difference is $21 - 18 = 3$.
- J (10) $\to$ M (13): The difference is $13 - 10 = 3$.
The pattern observed is that each letter in KARJ is shifted forward by 3 positions in the alphabet to get the corresponding letter in NDUM.
Analyzing PLBF to SOEI
Let's verify this pattern with the second pair.
Letter positions for PLBF:
- P is the 16th letter.
- L is the 12th letter.
- B is the 2nd letter.
- F is the 6th letter.
Letter positions for SOEI:
- S is the 19th letter.
- O is the 15th letter.
- E is the 5th letter.
- I is the 9th letter.
Comparing positions:
- P (16) $\to$ S (19): The difference is $19 - 16 = 3$.
- L (12) $\to$ O (15): The difference is $15 - 12 = 3$.
- B (2) $\to$ E (5): The difference is $5 - 2 = 3$.
- F (6) $\to$ I (9): The difference is $9 - 6 = 3$.
The pattern of shifting forward by 3 positions holds true for this pair as well.
Applying the +3 Shift Logic to SCHQ
Now, we apply the same logic (adding 3 to the alphabetical position of each letter) to the sequence SCHQ.
Letter positions for SCHQ:
- S is the 19th letter.
- C is the 3rd letter.
- H is the 8th letter.
- Q is the 17th letter.
Applying the +3 shift:
- S (19) + 3 = 22. The 22nd letter is V.
- C (3) + 3 = 6. The 6th letter is F.
- H (8) + 3 = 11. The 11th letter is K.
- Q (17) + 3 = 20. The 20th letter is T.
Therefore, SCHQ is related to VFKT.
Result Verification
The resulting sequence is VFKT. Let's check the options provided:
| Option 1 | UFNR |
| Option 2 | VELT |
| Option 3 | VFKT |
| Option 4 | UEMR |
Our calculated sequence VFKT matches Option 3.
Important Questions from Analogy
Select the option that is related to the third number in the same way as the second number is related to the first number.
12 : 60 :: 16 : ?
Select the option that is related to the third number in the same way as the second number is related to the first number.
16 : 144 :: 28 : ?
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding / subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(42, 18, 3)
(36, 14, 4)
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
ABILITY : LIBAYTI : : CHRONIC : ORHCCIN : : HEAVILY : ?
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)
(4, 50, 6)
(13, 128, 3)
