Solving Letter Analogy based on Alphabetical Order

This problem involves finding the relationship between groups of letters based on their position in the English alphabet. We are given two examples of how letter groups are related: GAMU is related to JDPX, and LHTC is related to OKWF. We need to find the letter group related to BRLQ using the same logic.

Analysing the first pair: GAMU to JDPX

Let's look at the positional value of each letter in the alphabet (A=1, B=2, ... Z=26):

• G is the 7th letter. J is the 10th letter.
• A is the 1st letter. D is the 4th letter.
• M is the 13th letter. P is the 16th letter.
• U is the 21st letter. X is the 24th letter.

Let's compare the positions:

• G (7) to J (10): $10 - 7 = +3$
• A (1) to D (4): $4 - 1 = +3$
• M (13) to P (16): $16 - 13 = +3$
• U (21) to X (24): $24 - 21 = +3$

It appears that each letter in GAMU is shifted forward by 3 positions in the alphabet to get the corresponding letter in JDPX. We can represent this as:

G $\xrightarrow{+3}$ J

A $\xrightarrow{+3}$ D

M $\xrightarrow{+3}$ P

U $\xrightarrow{+3}$ X

Verifying the logic with the second pair: LHTC to OKWF

Let's check if the same +3 shift logic applies to the second pair:

• L is the 12th letter. O is the 15th letter. $15 - 12 = +3$
• H is the 8th letter. K is the 11th letter. $11 - 8 = +3$
• T is the 20th letter. W is the 23rd letter. $23 - 20 = +3$
• C is the 3rd letter. F is the 6th letter. $6 - 3 = +3$

The logic holds true for the second pair as well. Each letter in LHTC is shifted forward by 3 positions to get the corresponding letter in OKWF.

L $\xrightarrow{+3}$ O

H $\xrightarrow{+3}$ K

T $\xrightarrow{+3}$ W

C $\xrightarrow{+3}$ F

Applying the logic to BRLQ

Now, we will apply the same +3 shift logic to each letter of BRLQ to find the related letter group.

• B is the 2nd letter. Shifting by +3: 2 + 3 = 5th letter, which is E.
• R is the 18th letter. Shifting by +3: 18 + 3 = 21st letter, which is U.
• L is the 12th letter. Shifting by +3: 12 + 3 = 15th letter, which is O.
• Q is the 17th letter. Shifting by +3: 17 + 3 = 20th letter, which is T.

So, following the same logic, BRLQ is related to EUOT.

B $\xrightarrow{+3}$ E

R $\xrightarrow{+3}$ U

L $\xrightarrow{+3}$ O

Q $\xrightarrow{+3}$ T

Checking the Options

Let's compare our result, EUOT, with the given options:

1. EUOT - This matches our result.
2. DTNS
3. ETOS
4. CTOU

The letter group related to BRLQ based on the +3 shift rule is EUOT.

Conclusion

The relationship between the letter groups is a consistent shift of +3 positions for each letter in the English alphabetical order. Applying this rule to BRLQ results in EUOT.

Revision Table: Letter Shifts

Additional Information: Understanding Letter Series and Analogy

Letter series and analogy questions are common in reasoning tests. They rely on understanding patterns and relationships between letters based on the English alphabet. The patterns can be simple, like a consistent shift (+n or -n), or more complex, involving multiple shifts, skipping letters, or using vowels/consonants.

Key concepts for solving these problems include:

• Knowing the alphabetical order and the position of each letter quickly.
• Identifying the type of relationship (shift, skipping, etc.) between the given pairs.
• Applying the identified logic consistently to the new input.
• Checking the options to confirm the result.

Practice with different types of letter pattern problems helps in quickly spotting the underlying rule and solving the analogy questions efficiently.